Tetragonal Superspace Groups

Tetragonal Superspace Groups

2541 P4(00p,00q)0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u;

2542 P4(00p,00q).0q. equivalent group: P4(00p,00q).0q. P4(00p,00q).q0. P4(00p,00q).qq. P4(00p,00q).qs. P4(00p,00q).qq. P4(00p,00q).sq. P4(00p,00q).sq. P4(00p,00q).q0. P4(00p,00q).qq. P4(00p,00q).qs. P4(00p,00q).qq.

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,z,t,1/4+u; y,-x,z,t,3/4+u;

00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n

2543 P4(00p,00q).0s. equivalent group: P4(00p,00q).s0. P4(00p,00q).ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n

2544 P4₁(00p,00q)0 equivalent group: P4₁(00p,00q).0q. P4₁(00p,00q).0s. P4₁(00p,00q).0q. P4₁(00p,00q).q0. P4₁(00p,00q).qq. P4₁(00p,00q).qs. P4₁(00p,00q).qq. P4₁(00p,00q).s0. P4₁(00p,00q).sq. P4₁(00p,00q).ss. P4₁(00p,00q).sq. P4₁(00p,00q).q0. P4₁(00p,00q).qq. P4₁(00p,00q).qs. P4₁(00p,00q).qq. P4(00p,00q)0 P4(00p,00q).0q. P4(00p,00q).0s. P4(00p,00q).0q. P4(00p,00q).q0. P4(00p,00q).qq. P4(00p,00q).qs. P4(00p,00q).qq. P4(00p,00q).s0. P4(00p,00q).sq. P4(00p,00q).ss. P4(00p,00q).sq. P4(00p,00q).q0. P4(00p,00q).qq. P4(00p,00q).qs. P4(00p,00q).qq.

x,y,z,t,u; -x,-y,1/2+z,t,u; -y,x,1/4+z,t,u; y,-x,3/4+z,t,u;

00lmn:l=2n 00lmn:l=4n 00lmn:3l=4n

2545 P4₂(00p,00q)0 equivalent group: P4₂(00p,00q).0s. P4₂(00p,00q).s0. P4₂(00p,00q).ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n

2546 P4₂(00p,00q).0q. equivalent group: P4₂(00p,00q).0q. P4₂(00p,00q).q0. P4₂(00p,00q).qq. P4₂(00p,00q).qs. P4₂(00p,00q).qq. P4₂(00p,00q).sq. P4₂(00p,00q).sq. P4₂(00p,00q).q0. P4₂(00p,00q).qq. P4₂(00p,00q).qs. P4₂(00p,00q).qq.

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,1/2+z,t,1/4+u; y,-x,1/2+z,t,3/4+u;

00lmn:n=2n 00lmn:2l+n=4n 00lmn:2l+3n=4n

2547 P4(1/21/2p,00q)0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u;

hklmn:h+k+m=2n

2548 P4(1/21/2p,00q).0q. equivalent group: P4(1/21/2p,00q).0q. P4(1/21/2p,00q).qq. P4(1/21/2p,00q).qq.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,z,t,1/4+u; y,-x,z,t,3/4+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n

2549 P4(1/21/2p,00q).0s.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n

2550 P4₁(1/21/2p,00q)0 equivalent group: P4₁(1/21/2p,00q).0q. P4₁(1/21/2p,00q).0s. P4₁(1/21/2p,00q).0q. P4(1/21/2p,00q)0 P4(1/21/2p,00q).0q. P4(1/21/2p,00q).0s. P4(1/21/2p,00q).0q. P4₁(1/21/2p,00q).q0. P4₁(1/21/2p,00q).qq. P4₁(1/21/2p,00q).qs. P4₁(1/21/2p,00q).qq. P4(1/21/2p,00q).q0. P4(1/21/2p,00q).qq. P4(1/21/2p,00q).qs. P4(1/21/2p,00q).qq.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,1/2+z,t,u; -y,x,1/4+z,t,u; y,-x,3/4+z,t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=4n 00lmn:3l=4n

2551 P4₂(1/21/2p,00q)0 equivalent group: P4₂(1/21/2p,00q).0s.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n

2552 P4₂(1/21/2p,00q).0q. equivalent group: P4₂(1/21/2p,00q).0q. P4₂(1/21/2p,00q).qq. P4₂(1/21/2p,00q).qq.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,1/2+z,t,1/4+u; y,-x,1/2+z,t,3/4+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:2l+n=4n 00lmn:2l+3n=4n

2553 P4(1/21/2p,00q).q0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,z,3/4+t,u; 3/4+y,3/4-x,z,3/4+t,u;

hklmn:h+k+m=2n 00lmn:3m=4n 00lmn:3m=4n

2554 P4(1/21/2p,00q).qs.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,z,3/4+t,1/2+u; 3/4+y,3/4-x,z,3/4+t,1/2+u;

hklmn:h+k+m=2n 00lmn:3m+2n=4n 00lmn:3m+2n=4n

2555 P4₂(1/21/2p,00q).q0. equivalent group: P4₂(1/21/2p,00q).qs.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,1/2+z,3/4+t,u; 3/4+y,3/4-x,1/2+z,3/4+t,u;

hklmn:h+k+m=2n 00lmn:2l+3m=4n 00lmn:2l+3m=4n

2556 P4(-pq0,qp0)0

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t;

2557 P4₁(-pq0,qp0)0 equivalent group: P4(-pq0,qp0)0

x,y,z,t,u; -x,-y,1/2+z,-t,-u; -y,x,1/4+z,u,-t; y,-x,3/4+z,-u,t;

00l00:l=2n 00l00:l=4n 00l00:3l=4n

2558 P4₂(-pq0,qp0)0

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t;

00l00:l=2n 00l00:l=2n

2559 P4(-pq1/2,qp1/2)0

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t;

hklmn:l+m+n=2n

2560 P4₂(-pq1/2,qp1/2)0

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n

2561 I4(00p,00-q)0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u;

hklmn:h+k+l=2n

2562 I4(00p,00-q).0q. equivalent group: I4(00p,00-q).0q. I4(00p,00-q).q0. I4(00p,00-q).qq. I4(00p,00-q).qs. I4(00p,00-q).qq. I4(00p,00-q).sq. I4(00p,00-q).sq. I4(00p,00-q).q0. I4(00p,00-q).qq. I4(00p,00-q).qs. I4(00p,00-q).qq.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,z,t,1/4+u; y,-x,z,t,3/4+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n

2563 I4(00p,00-q).0s. equivalent group: I4(00p,00-q).s0. I4(00p,00-q).ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n

2564 I4₁(00p,00-q)0 equivalent group: I4₁(00p,00-q).0s. I4₁(00p,00-q).s0. I4₁(00p,00-q).ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/4+z,t,u; 1/4+y,1/4-x,1/4+z,t,u;

hklmn:h+k+l=2n 00lmn:l=4n 00lmn:l=4n

2565 I4₁(00p,00-q).0q. equivalent group: I4₁(00p,00-q).0q. I4₁(00p,00-q).q0. I4₁(00p,00-q).qq. I4₁(00p,00-q).qs. I4₁(00p,00-q).qq. I4₁(00p,00-q).sq. I4₁(00p,00-q).sq. I4₁(00p,00-q).q0. I4₁(00p,00-q).qq. I4₁(00p,00-q).qs. I4₁(00p,00-q).qq.

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,t,1/2+u; 3/4-y,1/4+x,1/4+z,t,1/4+u; 1/4+y,1/4-x,1/4+z,t,3/4+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:l+n=4n 00lmn:l+3n=4n

2566 I4(-pq0,qp0)0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t;

hklmn:h+k+l=2n

2567 I4₁(-pq0,qp0)0

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,-t,-u; 3/4-y,1/4+x,1/4+z,u,-t; 1/4+y,1/4-x,1/4+z,-u,t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n

2568 P-4(00p,00q)0

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u;

2569 P-4(1/21/2p,00q)0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u;

hklmn:h+k+m=2n

2570 P-4(p-q0,qp0)0

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t;

2571 P-4(p-q1/2,qp1/2)0

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t;

hklmn:l+m+n=2n

2572 I-4(00p,00-q)0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u;

hklmn:h+k+l=2n

2573 I-4(p-q0,qp0)0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t;

hklmn:h+k+l=2n

2574 P4/m(00p,00q)00

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u;

2575 P4/m(00p,00q).0s.0 equivalent group: P4/m(00p,00q).s0.0 P4/m(00p,00q).ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u;

00lmn:n=2n 00lmn:n=2n

2576 P4₂/m(00p,00q)00 equivalent group: P4₂/m(00p,00q).0s.0 P4₂/m(00p,00q).s0.0 P4₂/m(00p,00q).ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u;

00lmn:l=2n 00lmn:l=2n

2577 P4/n(00p,00q)00

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; -y,1/2+x,z,t,u; 1/2+y,-x,z,t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; y,1/2-x,-z,-t,-u; 1/2-y,x,-z,-t,-u;

hk000:h+k=2n

2578 P4/n(00p,00q).0s.0 equivalent group: P4/n(00p,00q).s0.0 P4/n(00p,00q).ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; -y,1/2+x,z,t,1/2+u; 1/2+y,-x,z,t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; y,1/2-x,-z,-t,1/2-u; 1/2-y,x,-z,-t,1/2-u;

00lmn:n=2n 00lmn:n=2n hk000:h+k=2n

2579 P4₂/n(00p,00q)00 equivalent group: P4₂/n(00p,00q).0s.0 P4₂/n(00p,00q).s0.0 P4₂/n(00p,00q).ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; -y,1/2+x,1/2+z,t,u; 1/2+y,-x,1/2+z,t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; y,1/2-x,1/2-z,-t,-u; 1/2-y,x,1/2-z,-t,-u;

00lmn:l=2n 00lmn:l=2n hk000:h+k=2n

2580 P4/m(1/21/2p,00q)00

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u;

hklmn:h+k+m=2n

2581 P4/m(1/21/2p,00q).0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n

2582 P4₂/m(1/21/2p,00q)00 equivalent group: P4₂/m(1/21/2p,00q).0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n

2583 P4/n(1/21/2p,00q).q0.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,z,3/4+t,u; 3/4+y,3/4-x,z,3/4+t,u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 3/4+y,1/4-x,-z,1/4-t,-u; 1/4-y,1/4+x,-z,1/4-t,-u;

hklmn:h+k+m=2n 00lmn:3m=4n 00lmn:3m=4n hk000:k=2n

2584 P4/n(1/21/2p,00q).qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,z,3/4+t,1/2+u; 3/4+y,3/4-x,z,3/4+t,1/2+u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 3/4+y,1/4-x,-z,1/4-t,1/2-u; 1/4-y,1/4+x,-z,1/4-t,1/2-u;

hklmn:h+k+m=2n 00lmn:3m+2n=4n 00lmn:3m+2n=4n hk000:k=2n

2585 P4₂/n(1/21/2p,00q).q0.0 equivalent group: P4₂/n(1/21/2p,00q).qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,1/2+z,3/4+t,u; 3/4+y,3/4-x,1/2+z,3/4+t,u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 3/4+y,1/4-x,1/2-z,1/4-t,-u; 1/4-y,1/4+x,1/2-z,1/4-t,-u;

hklmn:h+k+m=2n 00lmn:2l+3m=4n 00lmn:2l+3m=4n hk000:k=2n

2586 P4/m(-pq0,qp0)00

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t;

2587 P4₂/m(-pq0,qp0)00

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t;

00l00:l=2n 00l00:l=2n

2588 P4/m(-pq0,qp0)0.ss.

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2+u,-t; y,-x,z,-u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t;

hk0mn:m+n=2n

2589 P4₂/m(-pq0,qp0)0.ss.

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2+u,-t; y,-x,1/2+z,-u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2-u,t; -y,x,1/2-z,u,1/2-t;

00l00:l=2n 00l00:l=2n hk0mn:m+n=2n

2590 P4/n(-pq0,qp0)00 equivalent group: P4/n(-pq0,qp0)0.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t;

hk0mn:h+k=2n

2591 P4₂/n(-pq0,qp0)00 equivalent group: P4₂/n(-pq0,qp0)0.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t;

00l00:l=2n 00l00:l=2n hk0mn:h+k=2n

2592 P4/m(-pq1/2,qp1/2)00

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t;

hklmn:l+m+n=2n

2593 P4/n(-pq1/2,qp1/2)00

(00000;001/21/21/2)

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; -y,1/2+x,z,u,-t; 1/2+y,-x,z,-u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; y,1/2-x,-z,-u,t; 1/2-y,x,-z,u,-t;

hklmn:l+m+n=2n hk0mn:h+k=2n

2594 P4₂/m(-pq1/2,qp1/2)0.0s.

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,1/4-u,1/4+t; -y,x,3/4-z,3/4+u,1/4-t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n hk0mn:n=2n

2595 P4₂/n(-pq1/2,qp1/2)0.0s.

(00000;001/21/21/2)

x,y,z,t,u; 1/2-x,1/2-y,z,-t,1/2-u; -y,1/2+x,1/4+z,3/4+u,3/4-t; 1/2+y,-x,1/4+z,1/4-u,3/4+t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; y,1/2-x,3/4-z,1/4-u,1/4+t; 1/2-y,x,3/4-z,3/4+u,1/4-t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n hk0mn:h+k+n=2n

2596 I4/m(00p,00-q)00

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u;

hklmn:h+k+l=2n

2597 I4/m(00p,00-q).0s.0 equivalent group: I4/m(00p,00-q).s0.0 I4/m(00p,00-q).ss.0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n

2598 I4/a(00p,00-q)00 equivalent group: I4/a(00p,00-q).0s.0 I4/a(00p,00-q).s0.0 I4/a(00p,00-q).ss.0

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; -x,-y,-z,-t,-u; 1/2+x,y,-z,-t,-u; 3/4+y,3/4-x,1/4-z,-t,-u; 3/4-y,1/4+x,1/4-z,-t,-u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n hk000:h=2n

2599 I4/m(-pq0,qp0)00

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t;

hklmn:h+k+l=2n

2600 I4/m(-pq0,qp0)0.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t;

hklmn:h+k+l=2n hk0mn:m+n=2n

2601 I4₁/b(-pq0,qp0)00 equivalent group: I4₁/b(-pq0,qp0)0.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,-t,-u; 3/4-y,1/4+x,1/4+z,u,-t; 1/4+y,1/4-x,1/4+z,-u,t; -x,-y,-z,-t,-u; x,1/2+y,-z,t,u; 1/4+y,3/4-x,3/4-z,-u,t; 3/4-y,3/4+x,3/4-z,u,-t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n hk0mn:k=2n

2602 P422(00p,00q)000

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u;

2603 P422(00p,00q).0q.00 equivalent group: P422(00p,00q).0q.00 P422(00p,00q).q0.00 P422(00p,00q).qq.00 P422(00p,00q).qs.00 P422(00p,00q).qq.00 P422(00p,00q).sq.00 P422(00p,00q).sq.00 P422(00p,00q).q0.00 P422(00p,00q).qq.00 P422(00p,00q).qs.00 P422(00p,00q).qq.00

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,z,t,1/4+u; y,-x,z,t,3/4+u; -x,y,-z,-t,-u; x,-y,-z,-t,1/2-u; y,x,-z,-t,3/4-u; -y,-x,-z,-t,1/4-u;

00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n

2604 P422(00p,00q).0s.00 equivalent group: P422(00p,00q).s0.00 P422(00p,00q).ss.00

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u;

00lmn:n=2n 00lmn:n=2n

2605 P4₁22(00p,00q)000 equivalent group: P4₁22(00p,00q).0q.00 P4₁22(00p,00q).0s.00 P4₁22(00p,00q).0q.00 P4₁22(00p,00q).q0.00 P4₁22(00p,00q).qq.00 P4₁22(00p,00q).qs.00 P4₁22(00p,00q).qq.00 P4₁22(00p,00q).s0.00 P4₁22(00p,00q).sq.00 P4₁22(00p,00q).ss.00 P4₁22(00p,00q).sq.00 P4₁22(00p,00q).q0.00 P4₁22(00p,00q).qq.00 P4₁22(00p,00q).qs.00 P4₁22(00p,00q).qq.00 P422(00p,00q)000 P422(00p,00q).0q.00 P422(00p,00q).0s.00 P422(00p,00q).0q.00 P422(00p,00q).q0.00 P422(00p,00q).qq.00 P422(00p,00q).qs.00 P422(00p,00q).qq.00 P422(00p,00q).s0.00 P422(00p,00q).sq.00 P422(00p,00q).ss.00 P422(00p,00q).sq.00 P422(00p,00q).q0.00 P422(00p,00q).qq.00 P422(00p,00q).qs.00 P422(00p,00q).qq.00

x,y,z,t,u; -x,-y,1/2+z,t,u; -y,x,1/4+z,t,u; y,-x,3/4+z,t,u; -x,y,-z,-t,-u; x,-y,1/2-z,-t,-u; y,x,3/4-z,-t,-u; -y,-x,1/4-z,-t,-u;

00lmn:l=2n 00lmn:l=4n 00lmn:3l=4n

2606 P4₂22(00p,00q)000 equivalent group: P4₂22(00p,00q).0s.00 P4₂22(00p,00q).s0.00 P4₂22(00p,00q).ss.00

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u;

00lmn:l=2n 00lmn:l=2n

2607 P4₂22(00p,00q).0q.00 equivalent group: P4₂22(00p,00q).0q.00 P4₂22(00p,00q).q0.00 P4₂22(00p,00q).qq.00 P4₂22(00p,00q).qs.00 P4₂22(00p,00q).qq.00 P4₂22(00p,00q).sq.00 P4₂22(00p,00q).sq.00 P4₂22(00p,00q).q0.00 P4₂22(00p,00q).qq.00 P4₂22(00p,00q).qs.00 P4₂22(00p,00q).qq.00

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,1/2+z,t,1/4+u; y,-x,1/2+z,t,3/4+u; -x,y,-z,-t,-u; x,-y,-z,-t,1/2-u; y,x,1/2-z,-t,3/4-u; -y,-x,1/2-z,-t,1/4-u;

00lmn:n=2n 00lmn:2l+n=4n 00lmn:2l+3n=4n

2608 P42₁2₁(00p,00q)000

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2+y,1/2+x,-z,-t,-u; -y,-x,-z,-t,-u;

0k000:k=2n h0000:h=2n hh000:h+h=2n

2609 P42₁2₁(00p,00q).0q.00 equivalent group: P42₁2₁(00p,00q).0q.00 P42₁2₁(00p,00q).q0.00 P42₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q).qs.00 P42₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q).sq.00 P42₁2₁(00p,00q).sq.00 P42₁2₁(00p,00q).q0.00 P42₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q).qs.00 P42₁2₁(00p,00q).qq.00

x,y,z,t,u; 1/2-x,1/2-y,z,t,1/2+u; 1/2-y,x,z,t,1/4+u; y,1/2-x,z,t,3/4+u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,3/4-u; -y,-x,-z,-t,1/4-u;

00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n 0k000:k=2n h0000:h=2n hh000:h+h=2n

2610 P42₁2₁(00p,00q).0s.00 equivalent group: P42₁2₁(00p,00q).s0.00 P42₁2₁(00p,00q).ss.00

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2+y,1/2+x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n

2611 P4₁2₁2₁(00p,00q)000 equivalent group: P4₁2₁2₁(00p,00q).0q.00 P4₁2₁2₁(00p,00q).0s.00 P4₁2₁2₁(00p,00q).0q.00 P4₁2₁2₁(00p,00q).q0.00 P4₁2₁2₁(00p,00q).qq.00 P4₁2₁2₁(00p,00q).qs.00 P4₁2₁2₁(00p,00q).qq.00 P4₁2₁2₁(00p,00q).s0.00 P4₁2₁2₁(00p,00q).sq.00 P4₁2₁2₁(00p,00q).ss.00 P4₁2₁2₁(00p,00q).sq.00 P4₁2₁2₁(00p,00q).q0.00 P4₁2₁2₁(00p,00q).qq.00 P4₁2₁2₁(00p,00q).qs.00 P4₁2₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q)000 P42₁2₁(00p,00q).0q.00 P42₁2₁(00p,00q).0s.00 P42₁2₁(00p,00q).0q.00 P42₁2₁(00p,00q).q0.00 P42₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q).qs.00 P42₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q).s0.00 P42₁2₁(00p,00q).sq.00 P42₁2₁(00p,00q).ss.00 P42₁2₁(00p,00q).sq.00 P42₁2₁(00p,00q).q0.00 P42₁2₁(00p,00q).qq.00 P42₁2₁(00p,00q).qs.00 P42₁2₁(00p,00q).qq.00

x,y,z,t,u; 1/2-x,1/2-y,1/2+z,t,u; 1/2-y,x,1/4+z,t,u; y,1/2-x,3/4+z,t,u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,1/2-z,-t,-u; 1/2+y,1/2+x,3/4-z,-t,-u; -y,-x,1/4-z,-t,-u;

00lmn:l=2n 00lmn:l=4n 00lmn:3l=4n 0k000:k=2n h0000:h=2n hh000:h+h=2n

2612 P4₂2₁2₁(00p,00q)000 equivalent group: P4₂2₁2₁(00p,00q).0s.00 P4₂2₁2₁(00p,00q).s0.00 P4₂2₁2₁(00p,00q).ss.00

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n

2613 P4₂2₁2₁(00p,00q).0q.00 equivalent group: P4₂2₁2₁(00p,00q).0q.00 P4₂2₁2₁(00p,00q).q0.00 P4₂2₁2₁(00p,00q).qq.00 P4₂2₁2₁(00p,00q).qs.00 P4₂2₁2₁(00p,00q).qq.00 P4₂2₁2₁(00p,00q).sq.00 P4₂2₁2₁(00p,00q).sq.00 P4₂2₁2₁(00p,00q).q0.00 P4₂2₁2₁(00p,00q).qq.00 P4₂2₁2₁(00p,00q).qs.00 P4₂2₁2₁(00p,00q).qq.00

x,y,z,t,u; 1/2-x,1/2-y,z,t,1/2+u; 1/2-y,x,1/2+z,t,1/4+u; y,1/2-x,1/2+z,t,3/4+u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,1/2-u; 1/2+y,1/2+x,1/2-z,-t,3/4-u; -y,-x,1/2-z,-t,1/4-u;

00lmn:n=2n 00lmn:2l+n=4n 00lmn:2l+3n=4n 0k000:k=2n h0000:h=2n hh000:h+h=2n

2614 P422(1/21/2p,00q)000

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; x,-y,-z,-t,-u; -x,y,-z,-t,-u;

hklmn:h+k+m=2n

2615 P4₁22(1/21/2p,00q)000 equivalent group: P422(1/21/2p,00q)000 P4₁22(1/21/2p,00q).0q.00 P422(1/21/2p,00q).0q.00 P4₁22(1/21/2p,00q).0s.00 P422(1/21/2p,00q).0s.00 P4₁22(1/21/2p,00q).0q.00 P422(1/21/2p,00q).0q.00 P4₁22(1/21/2p,00q).q0.00 P422(1/21/2p,00q).q0.00 P4₁22(1/21/2p,00q).qq.00 P422(1/21/2p,00q).qq.00 P4₁22(1/21/2p,00q).qs.00 P422(1/21/2p,00q).qs.00 P4₁22(1/21/2p,00q).qq.00 P422(1/21/2p,00q).qq.00

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,1/2+z,t,u; -y,x,1/4+z,t,u; y,-x,3/4+z,t,u; y,x,-z,-t,-u; -y,-x,1/2-z,-t,-u; x,-y,3/4-z,-t,-u; -x,y,1/4-z,-t,-u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=4n 00lmn:3l=4n

2616 P4₂22(1/21/2p,00q)000 equivalent group: P4₂22(1/21/2p,00q).0s.00

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; x,-y,1/2-z,-t,-u; -x,y,1/2-z,-t,-u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n

2617 P422(1/21/2p,00q).0q.00 equivalent group: P422(1/21/2p,00q).0q.00 P422(1/21/2p,00q).qq.00 P422(1/21/2p,00q).qq.00

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,z,t,1/4+u; y,-x,z,t,3/4+u; y,x,-z,-t,-u; -y,-x,-z,-t,1/2-u; x,-y,-z,-t,3/4-u; -x,y,-z,-t,1/4-u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n

2618 P4₂22(1/21/2p,00q).0q.00 equivalent group: P4₂22(1/21/2p,00q).0q.00 P4₂22(1/21/2p,00q).qq.00 P4₂22(1/21/2p,00q).qq.00

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,1/2+z,t,1/4+u; y,-x,1/2+z,t,3/4+u; y,x,-z,-t,-u; -y,-x,-z,-t,1/2-u; x,-y,1/2-z,-t,3/4-u; -x,y,1/2-z,-t,1/4-u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:2l+n=4n 00lmn:2l+3n=4n

2619 P422(1/21/2p,00q).0s.00

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; x,-y,-z,-t,1/2-u; -x,y,-z,-t,1/2-u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n

2620 P422(1/21/2p,00q).q0.00

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 3/4+y,1/4+x,-z,1/4-t,-u; 1/4-y,1/4-x,-z,1/4-t,-u; x,-y,-z,-t,-u; -x,1/2+y,-z,-t,-u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n hh000:h+h=2n 0k000:k=2n

2621 P4₂22(1/21/2p,00q).q0.00 equivalent group: P4₂22(1/21/2p,00q).qs.00

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 3/4+y,1/4+x,-z,1/4-t,-u; 1/4-y,1/4-x,-z,1/4-t,-u; x,-y,1/2-z,-t,-u; -x,1/2+y,1/2-z,-t,-u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n hh000:h+h=2n 0k000:k=2n

2622 P422(1/21/2p,00q).qs.00

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 3/4+y,1/4+x,-z,1/4-t,-u; 1/4-y,1/4-x,-z,1/4-t,-u; x,-y,-z,-t,1/2-u; -x,1/2+y,-z,-t,1/2-u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n hh000:h+h=2n 0k000:k=2n

2623 P422(0-p0,p00)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

2624 P4₁22(0-p0,p00)0mm equivalent group: P422(0-p0,p00)0mm

x,y,z,t,u; -x,-y,1/2+z,-t,-u; -y,x,1/4+z,-u,t; y,-x,3/4+z,u,-t; -x,y,-z,t,-u; x,-y,1/2-z,-t,u; y,x,3/4-z,-u,-t; -y,-x,1/4-z,u,t;

00l00:l=2n 00l00:l=4n 00l00:3l=4n

2625 P4₂22(0-p0,p00)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t;

00l00:l=2n 00l00:l=2n

2626 P422(0-p0,p00)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; y,x,-z,-u,-t; -y,-x,-z,1/2+u,1/2+t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n

2627 P4₁22(0-p0,p00)0gm equivalent group: P422(0-p0,p00)0gm

x,y,z,t,u; -x,-y,1/2+z,1/2-t,1/2-u; -y,x,1/4+z,1/2-u,t; y,-x,3/4+z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,1/2-z,-t,1/2+u; y,x,3/4-z,-u,-t; -y,-x,1/4-z,1/2+u,1/2+t;

00l00:l=2n 00l00:l=4n 00l00:3l=4n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n

2628 P4₂22(0-p0,p00)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,1/2+u,1/2+t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n

2629 P42₁2₁(0-p0,p00)0mm equivalent group: P42₁2₁(0-p0,p00)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; -y,-x,-z,u,t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n

2630 P4₁2₁2₁(0-p0,p00)0mm equivalent group: P42₁2₁(0-p0,p00)0mm P4₁2₁2₁(0-p0,p00)0gm P42₁2₁(0-p0,p00)0gm

x,y,z,t,u; 1/2-x,1/2-y,1/2+z,-t,-u; 1/2-y,x,1/4+z,-u,t; y,1/2-x,3/4+z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,1/2-z,-t,u; 1/2+y,1/2+x,3/4-z,-u,-t; -y,-x,1/4-z,u,t;

00l00:l=2n 00l00:l=4n 00l00:3l=4n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n

2631 P4₂2₁2₁(0-p0,p00)0mm equivalent group: P4₂2₁2₁(0-p0,p00)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,-z,-t,u; 1/2+y,1/2+x,1/2-z,-u,-t; -y,-x,1/2-z,u,t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n

2632 P422(1/2-p0,p1/20)0mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n

2633 P4₁22(1/2-p0,p1/20)0mm equivalent group: P422(1/2-p0,p1/20)0mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,1/2+z,-t,-u; -y,x,1/4+z,-u,t; y,-x,3/4+z,u,-t; -x,y,-z,t,-u; x,-y,1/2-z,-t,u; y,x,3/4-z,-u,-t; -y,-x,1/4-z,u,t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=4n 00l00:3l=4n

2634 P4₂22(1/2-p0,p1/20)0mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n

2635 P422(0-p1/2,p01/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:l+m+n=2n

2636 P42₁2₁(0-p1/2,p01/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t;

hklmn:l+m+n=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n

2637 P4₂22(0-p1/2,p01/2)0gm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; -x,y,-z,t,-u; x,-y,-z,-t,1/2+u; y,x,3/4-z,1/4-u,1/4-t; -y,-x,3/4-z,3/4+u,1/4+t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h000n:n=2n h-h0nn:n+n=2n

2638 P4₂2₁2₁(0-p1/2,p01/2)0gm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,1/2+u; 1/2+y,1/2+x,3/4-z,1/4-u,1/4-t; 1/2-y,1/2-x,3/4-z,3/4+u,1/4+t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0m0:k=2n h000n:h+n=2n kk0m-m:k+k=2n h-h0nn:n+n=2n

2639 P422(1/2-p1/2,p1/21/2)0mm

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n

2640 P4₂22₁(1/2-p1/2,p1/21/2)0mm

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,-u; 1/4-y,1/4+x,1/4+z,1/2-u,1/2+t; 1/4+y,1/4-x,1/4+z,1/2+u,-t; -x,y,-z,t,-u; x,-y,-z,1/2-t,u; 3/4+y,1/4+x,3/4-z,1/2-u,1/2-t; 3/4-y,1/4-x,3/4-z,1/2+u,t;

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n kk0m-m:k+k=2n h-h0nn:h-3h+n+n=4n

2641 P422(-p-p0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u;

2642 P4₁22(-p-p0,-pp0)0mm equivalent group: P422(-p-p0,-pp0)0mm

x,y,z,t,u; -x,-y,1/2+z,-t,-u; -y,x,1/4+z,u,-t; y,-x,3/4+z,-u,t; -x,y,-z,-u,-t; x,-y,1/2-z,u,t; y,x,3/4-z,t,-u; -y,-x,1/4-z,-t,u;

00l00:l=2n 00l00:l=4n 00l00:3l=4n

2643 P4₂22(-p-p0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,1/2-z,t,-u; -y,-x,1/2-z,-t,u;

00l00:l=2n 00l00:l=2n

2644 P422(-p-p0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n

2645 P4₁22(-p-p0,-pp0)0gg equivalent group: P422(-p-p0,-pp0)0gg

x,y,z,t,u; -x,-y,1/2+z,1/2-t,1/2-u; -y,x,1/4+z,u,1/2-t; y,-x,3/4+z,1/2-u,t; -x,y,-z,-u,-t; x,-y,1/2-z,1/2+u,1/2+t; y,x,3/4-z,1/2+t,-u; -y,-x,1/4-z,-t,1/2+u;

00l00:l=2n 00l00:l=4n 00l00:3l=4n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n

2646 P4₂22(-p-p0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n

2647 P42₁2₁(-p-p0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n

2648 P4₁2₁2₁(-p-p0,-pp0)0mm equivalent group: P42₁2₁(-p-p0,-pp0)0mm

x,y,z,t,u; -x,-y,1/2+z,-t,-u; -y,x,1/4+z,u,-t; y,-x,3/4+z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,1/2-z,u,t; 1/2+y,1/2+x,3/4-z,t,-u; 1/2-y,1/2-x,1/4-z,-t,u;

00l00:l=2n 00l00:l=4n 00l00:3l=4n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n

2649 P4₂2₁2₁(-p-p0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,1/2-z,t,-u; 1/2-y,1/2-x,1/2-z,-t,u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n

2650 P42₁2₁(-p-p0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,-u; 1/2-y,1/2-x,-z,-t,1/2+u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n

2651 P4₁2₁2₁(-p-p0,-pp0)0gg equivalent group: P42₁2₁(-p-p0,-pp0)0gg

x,y,z,t,u; -x,-y,1/2+z,1/2-t,1/2-u; -y,x,1/4+z,u,1/2-t; y,-x,3/4+z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,3/4-z,1/2+t,-u; 1/2-y,1/2-x,1/4-z,-t,1/2+u;

00l00:l=2n 00l00:l=4n 00l00:3l=4n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n

2652 P4₂2₁2₁(-p-p0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,-u; 1/2-y,1/2-x,1/2-z,-t,1/2+u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n

2653 P422(-p-p1/2,-pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u;

hklmn:l+m+n=2n

2654 P42₁2₁(-p-p1/2,-pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u;

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n

2655 P4₂22(-p-p1/2,-pp1/2)0gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; -x,y,3/4-z,1/4-u,1/4-t; x,-y,3/4-z,3/4+u,1/4+t; y,x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h00nn:n+n=2n hh0m0:m=2n

2656 P4₂2₁2₁(-p-p1/2,-pp1/2)0gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; 1/2-x,1/2+y,3/4-z,1/4-u,1/4-t; 1/2+x,1/2-y,3/4-z,3/4+u,1/4+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n

2657 I422(00p,00-q)000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u;

hklmn:h+k+l=2n

2658 I422(00p,00-q).0q.00 equivalent group: I422(00p,00-q).0q.00 I422(00p,00-q).q0.00 I422(00p,00-q).qq.00 I422(00p,00-q).qs.00 I422(00p,00-q).qq.00 I422(00p,00-q).sq.00 I422(00p,00-q).sq.00 I422(00p,00-q).q0.00 I422(00p,00-q).qq.00 I422(00p,00-q).qs.00 I422(00p,00-q).qq.00

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,1/2+u; -y,x,z,t,1/4+u; y,-x,z,t,3/4+u; -x,y,-z,-t,-u; x,-y,-z,-t,1/2-u; y,x,-z,-t,3/4-u; -y,-x,-z,-t,1/4-u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=4n 00lmn:3n=4n

2659 I422(00p,00-q).0s.00 equivalent group: I422(00p,00-q).s0.00 I422(00p,00-q).ss.00

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n

2660 I42₁2₁(00p,00-q)000 equivalent group: I42₁2₁(00p,00-q).0s.00 I42₁2₁(00p,00-q).s0.00 I42₁2₁(00p,00-q).ss.00

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; -x,y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 3/4+y,1/4+x,1/4-z,-t,-u; 3/4-y,3/4-x,1/4-z,-t,-u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n h0000:h=2n hh000:h+h=2n

2661 I42₁2₁(00p,00-q).0q.00 equivalent group: I42₁2₁(00p,00-q).0q.00 I42₁2₁(00p,00-q).q0.00 I42₁2₁(00p,00-q).qq.00 I42₁2₁(00p,00-q).qs.00 I42₁2₁(00p,00-q).qq.00 I42₁2₁(00p,00-q).sq.00 I42₁2₁(00p,00-q).sq.00 I42₁2₁(00p,00-q).q0.00 I42₁2₁(00p,00-q).qq.00 I42₁2₁(00p,00-q).qs.00 I42₁2₁(00p,00-q).qq.00

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,1/2+u; 1/4-y,1/4+x,3/4+z,t,1/4+u; 1/4+y,3/4-x,3/4+z,t,3/4+u; -x,y,-z,-t,-u; 1/2+x,-y,-z,-t,1/2-u; 3/4+y,1/4+x,1/4-z,-t,3/4-u; 3/4-y,3/4-x,1/4-z,-t,1/4-u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:3l+n=4n 00lmn:3l+3n=4n h0000:h=2n hh000:h+h=2n

2662 I422(0-p0,p00)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:h+k+l=2n

2663 I42₁2₁(0-p0,p00)0mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,-u,t; 1/4+y,3/4-x,3/4+z,u,-t; -x,y,-z,t,-u; 1/2+x,-y,-z,-t,u; 3/4+y,1/4+x,1/4-z,-u,-t; 3/4-y,3/4-x,1/4-z,u,t;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h000n:h=2n kk0m-m:k+k=2n

2664 I422(0-p0,p00)0gm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; y,x,-z,-u,-t; -y,-x,-z,1/2+u,1/2+t;

hklmn:h+k+l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n

2665 I42₁2₁(0-p0,p00)0gm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,3/4+z,1/2-u,t; 1/4+y,3/4-x,3/4+z,u,1/2-t; -x,y,-z,1/2+t,-u; 1/2+x,-y,-z,-t,1/2+u; 3/4+y,1/4+x,1/4-z,-u,-t; 3/4-y,3/4-x,1/4-z,1/2+u,1/2+t;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n 0k0m0:m=2n h000n:h+n=2n kk0m-m:k+k=2n h-h0nn:n+n=2n

2666 I422(pp0,p-p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u;

hklmn:h+k+l=2n

2667 I422(pp0,p-p0)0gg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u;

hklmn:h+k+l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n

2668 I42₁2₁(pp0,p-p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; -x,y,-z,-u,-t; 1/2+x,-y,-z,u,t; 3/4+y,1/4+x,1/4-z,t,-u; 3/4-y,3/4-x,1/4-z,-t,u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h00nn:h=2n hh0m0:h+h=2n

2669 I42₁2₁(pp0,p-p0)0gg

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,3/4+z,u,1/2-t; 1/4+y,3/4-x,3/4+z,1/2-u,t; -x,y,-z,-u,-t; 1/2+x,-y,-z,1/2+u,1/2+t; 3/4+y,1/4+x,1/4-z,1/2+t,-u; 3/4-y,3/4-x,1/4-z,-t,1/2+u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n

2670 I422(p+1/2p+1/21,p+1/2-p+1/20)0mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,-z,-u,-t; -y,-x,-z,u,t; x,-y,-z,t,-u; -x,y,-z,-t,u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n

2671 I4₁2₁2(p+1/2p+1/21,p+1/2-p+1/20)0dm equivalent group: I42₁2(p+1/2p+1/21,p+1/2-p+1/20)0dm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,1/2-y,z,1/2-t,-u; -y,x,1/4+z,u,-t; 1/2+y,-x,1/4+z,-u,1/2+t; y,x,-z,-u,-t; 1/2-y,-x,-z,u,1/2+t; x,-y,3/4-z,t,-u; -x,1/2+y,3/4-z,1/2-t,u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n 00l00:l=4n 00l00:l=4n h-h0nn:h-3h+n+n=4n 0k00n:k=2n

2672 I4₂22(p+1/2p+1/21,p+1/2-p+1/20)0mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; y,x,-z,-u,-t; -y,-x,-z,u,t; x,-y,1/2-z,t,-u; -x,y,1/2-z,-t,u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n

2673 P4mm(00p,00q)000

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,z,t,u; y,x,z,t,u;

2674 P4mm(00p,00q).0s.0.0s. equivalent group: P4mm(00p,00q).s0.0.s0. P4mm(00p,00q).ss.0.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n -kklmn:n=2n kklmn:n=2n

2675 P4₂mc(00p,00q)000 equivalent group: P4₂mc(00p,00q).0s.0.0s. P4₂mc(00p,00q).s0.0.s0. P4₂mc(00p,00q).ss.0.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n -kklmn:l=2n kklmn:l=2n

2676 P4mm(00p,00q)0.0s.0s. equivalent group: P4mm(00p,00q)0.s0.s0. P4mm(00p,00q)0.ss.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

h0lmn:n=2n 0klmn:n=2n -kklmn:n=2n kklmn:n=2n

2677 P4mm(00p,00q).0s.0s.0 equivalent group: P4mm(00p,00q).s0.s0.0 P4mm(00p,00q).ss.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,t,u; y,x,z,t,u;

00lmn:n=2n 00lmn:n=2n h0lmn:n=2n 0klmn:n=2n

2678 P4mm(00p,00q).s0.0s.ss. equivalent group: P4mm(00p,00q).ss.0s.s0. P4mm(00p,00q).0s.s0.ss. P4mm(00p,00q).ss.s0.0s. P4mm(00p,00q).0s.ss.s0. P4mm(00p,00q).s0.ss.0s.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,1/2+t,u; y,-x,z,1/2+t,u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,1/2+t,1/2+u; y,x,z,1/2+t,1/2+u;

00lmn:m=2n 00lmn:m=2n h0lmn:n=2n 0klmn:n=2n -kklmn:m+n=2n kklmn:m+n=2n

2679 P4₂mc(00p,00q)0.0s.0s. equivalent group: P4₂mc(00p,00q).0s.0s.0 P4₂mc(00p,00q).s0.0s.ss. P4₂mc(00p,00q).ss.0s.s0. P4₂mc(00p,00q)0.s0.s0. P4₂mc(00p,00q).0s.s0.ss. P4₂mc(00p,00q).s0.s0.0 P4₂mc(00p,00q).ss.s0.0s. P4₂mc(00p,00q)0.ss.ss. P4₂mc(00p,00q).0s.ss.s0. P4₂mc(00p,00q).s0.ss.0s. P4₂mc(00p,00q).ss.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n h0lmn:n=2n 0klmn:n=2n -kklmn:l+n=2n kklmn:l+n=2n

2680 P4cc(00p,00q)000 equivalent group: P4cc(00p,00q)0.0s.0s. P4cc(00p,00q)0.s0.s0. P4cc(00p,00q)0.ss.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

h0lmn:l=2n 0klmn:l=2n -kklmn:l=2n kklmn:l=2n

2681 P4cc(00p,00q).0s.0.0s. equivalent group: P4cc(00p,00q).s0.0.s0. P4cc(00p,00q).ss.0.ss. P4cc(00p,00q).0s.0s.0 P4cc(00p,00q).s0.0s.ss. P4cc(00p,00q).ss.0s.s0. P4cc(00p,00q).0s.s0.ss. P4cc(00p,00q).s0.s0.0 P4cc(00p,00q).ss.s0.0s. P4cc(00p,00q).0s.ss.s0. P4cc(00p,00q).s0.ss.0s. P4cc(00p,00q).ss.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l+n=2n kklmn:l+n=2n

2682 P4₂cm(00p,00q)000 equivalent group: P4₂cm(00p,00q).0s.0s.0 P4₂cm(00p,00q).s0.s0.0 P4₂cm(00p,00q).ss.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,z,t,u; y,x,z,t,u;

00lmn:l=2n 00lmn:l=2n h0lmn:l=2n 0klmn:l=2n

2683 P4₂cm(00p,00q).0s.0.0s. equivalent group: P4₂cm(00p,00q).s0.0.s0. P4₂cm(00p,00q).ss.0.ss. P4₂cm(00p,00q)0.0s.0s. P4₂cm(00p,00q).s0.0s.ss. P4₂cm(00p,00q).ss.0s.s0. P4₂cm(00p,00q)0.s0.s0. P4₂cm(00p,00q).0s.s0.ss. P4₂cm(00p,00q).ss.s0.0s. P4₂cm(00p,00q)0.ss.ss. P4₂cm(00p,00q).0s.ss.s0. P4₂cm(00p,00q).s0.ss.0s.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,1/2+u; y,-x,1/2+z,t,1/2+u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

00lmn:l+n=2n 00lmn:l+n=2n h0lmn:l=2n 0klmn:l=2n -kklmn:n=2n kklmn:n=2n

2684 P4bm(00p,00q)000

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; -y,-x,z,t,u; 1/2+y,1/2+x,z,t,u;

h0lmn:h=2n 0klmn:k=2n kklmn:k+k=2n

2685 P4bm(00p,00q).0s.0.0s. equivalent group: P4bm(00p,00q).s0.0.s0. P4bm(00p,00q).ss.0.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; -y,-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n h0lmn:h=2n 0klmn:k=2n -kklmn:n=2n kklmn:k+k+n=2n

2686 P4₂bc(00p,00q)000 equivalent group: P4₂bc(00p,00q).0s.0.0s. P4₂bc(00p,00q).s0.0.s0. P4₂bc(00p,00q).ss.0.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; -y,-x,1/2+z,t,u; 1/2+y,1/2+x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n h0lmn:h=2n 0klmn:k=2n -kklmn:l=2n kklmn:k+k+l=2n

2687 P4bm(00p,00q)0.0s.0s. equivalent group: P4bm(00p,00q)0.s0.s0. P4bm(00p,00q)0.ss.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:n=2n kklmn:k+k+n=2n

2688 P4bm(00p,00q).0s.0s.0 equivalent group: P4bm(00p,00q).s0.s0.0 P4bm(00p,00q).ss.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,z,t,u; 1/2+y,1/2+x,z,t,u;

00lmn:n=2n 00lmn:n=2n h0lmn:h+n=2n 0klmn:k+n=2n kklmn:k+k=2n

2689 P4bm(00p,00q).s0.0s.ss. equivalent group: P4bm(00p,00q).ss.0s.s0. P4bm(00p,00q).0s.s0.ss. P4bm(00p,00q).ss.s0.0s. P4bm(00p,00q).0s.ss.s0. P4bm(00p,00q).s0.ss.0s.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,1/2+t,u; y,1/2-x,z,1/2+t,u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,z,1/2+t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2+u;

00lmn:m=2n 00lmn:m=2n h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:m+n=2n kklmn:k+k+m+n=2n

2690 P4₂bc(00p,00q)0.0s.0s. equivalent group: P4₂bc(00p,00q).0s.0s.0 P4₂bc(00p,00q).s0.0s.ss. P4₂bc(00p,00q).ss.0s.s0. P4₂bc(00p,00q)0.s0.s0. P4₂bc(00p,00q).0s.s0.ss. P4₂bc(00p,00q).s0.s0.0 P4₂bc(00p,00q).ss.s0.0s. P4₂bc(00p,00q)0.ss.ss. P4₂bc(00p,00q).0s.ss.s0. P4₂bc(00p,00q).s0.ss.0s. P4₂bc(00p,00q).ss.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,1/2+z,t,1/2+u; 1/2+y,1/2+x,1/2+z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:l+n=2n kklmn:k+k+l+n=2n

2691 P4nc(00p,00q)000 equivalent group: P4nc(00p,00q)0.0s.0s. P4nc(00p,00q)0.s0.s0. P4nc(00p,00q)0.ss.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,1/2+z,t,u; 1/2+y,1/2+x,1/2+z,t,u;

h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:l=2n kklmn:k+k+l=2n

2692 P4nc(00p,00q).0s.0.0s. equivalent group: P4nc(00p,00q).s0.0.s0. P4nc(00p,00q).ss.0.ss. P4nc(00p,00q).0s.0s.0 P4nc(00p,00q).s0.0s.ss. P4nc(00p,00q).ss.0s.s0. P4nc(00p,00q).0s.s0.ss. P4nc(00p,00q).s0.s0.0 P4nc(00p,00q).ss.s0.0s. P4nc(00p,00q).0s.ss.s0. P4nc(00p,00q).s0.ss.0s. P4nc(00p,00q).ss.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,1/2+z,t,1/2+u; 1/2+y,1/2+x,1/2+z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:l+n=2n kklmn:k+k+l+n=2n

2693 P4₂nm(00p,00q)000 equivalent group: P4₂nm(00p,00q).0s.0s.0 P4₂nm(00p,00q).s0.s0.0 P4₂nm(00p,00q).ss.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,z,t,u; 1/2+y,1/2+x,z,t,u;

00lmn:l=2n 00lmn:l=2n h0lmn:h+l=2n 0klmn:k+l=2n kklmn:k+k=2n

2694 P4₂nm(00p,00q).0s.0.0s. equivalent group: P4₂nm(00p,00q).s0.0.s0. P4₂nm(00p,00q).ss.0.ss. P4₂nm(00p,00q)0.0s.0s. P4₂nm(00p,00q).s0.0s.ss. P4₂nm(00p,00q).ss.0s.s0. P4₂nm(00p,00q)0.s0.s0. P4₂nm(00p,00q).0s.s0.ss. P4₂nm(00p,00q).ss.s0.0s. P4₂nm(00p,00q)0.ss.ss. P4₂nm(00p,00q).0s.ss.s0. P4₂nm(00p,00q).s0.ss.0s.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,1/2+u; y,1/2-x,1/2+z,t,1/2+u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

00lmn:l+n=2n 00lmn:l+n=2n h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:n=2n kklmn:k+k+n=2n

2695 P4mm(1/21/2p,00q)000

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -y,-x,z,t,u; y,x,z,t,u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n

2696 P4mm(1/21/2p,00q).0s.0.0s. equivalent group: P4mm(1/21/2p,00q).ss.0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -y,-x,z,t,u; y,x,z,t,u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n 0klmn:n=2n h0lmn:n=2n

2697 P4mm(1/21/2p,00q).s0.0.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,1/2+t,u; y,-x,z,1/2+t,u; -y,-x,z,t,u; y,x,z,t,u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:m=2n 00lmn:m=2n 0klmn:m=2n h0lmn:m=2n

2698 P4₂mc(1/21/2p,00q)000 equivalent group: P4₂mc(1/21/2p,00q).0s.0.0s. P4₂mc(1/21/2p,00q).s0.0.s0. P4₂mc(1/21/2p,00q).ss.0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -y,-x,z,t,u; y,x,z,t,u; -x,y,1/2+z,t,u; x,-y,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n 0klmn:l=2n h0lmn:l=2n

2699 P4mm(1/21/2p,00q)0.0s.0s. equivalent group: P4mm(1/21/2p,00q).s0.0s.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n -kklmn:n=2n kklmn:n=2n 0klmn:n=2n h0lmn:n=2n

2700 P4mm(1/21/2p,00q).0s.0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n -kklmn:n=2n kklmn:n=2n

2701 P4mm(1/21/2p,00q).ss.0s.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,1/2+t,1/2+u; y,-x,z,1/2+t,1/2+u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:m+n=2n 00lmn:m+n=2n -kklmn:n=2n kklmn:n=2n 0klmn:m=2n h0lmn:m=2n

2702 P4₂mc(1/21/2p,00q)0.0s.0s. equivalent group: P4₂mc(1/21/2p,00q).0s.0s.0 P4₂mc(1/21/2p,00q).s0.0s.ss. P4₂mc(1/21/2p,00q).ss.0s.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,1/2+z,t,1/2+u; x,-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n -kklmn:n=2n kklmn:n=2n 0klmn:l+n=2n h0lmn:l+n=2n

2703 P4cc(1/21/2p,00q)000 equivalent group: P4cc(1/21/2p,00q).s0.0.s0. P4cc(1/21/2p,00q)0.0s.0s. P4cc(1/21/2p,00q).s0.0s.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,1/2+z,t,u; x,-y,1/2+z,t,u;

hklmn:h+k+m=2n -kklmn:l=2n kklmn:l=2n 0klmn:l=2n h0lmn:l=2n

2704 P4cc(1/21/2p,00q).0s.0.0s. equivalent group: P4cc(1/21/2p,00q).ss.0.ss. P4cc(1/21/2p,00q).0s.0s.0 P4cc(1/21/2p,00q).ss.0s.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,1/2+z,t,1/2+u; x,-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n -kklmn:l=2n kklmn:l=2n 0klmn:l+n=2n h0lmn:l+n=2n

2705 P4₂cm(1/21/2p,00q)000 equivalent group: P4₂cm(1/21/2p,00q).0s.0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n -kklmn:l=2n kklmn:l=2n

2706 P4₂cm(1/21/2p,00q).0s.0.0s. equivalent group: P4₂cm(1/21/2p,00q).ss.0.ss. P4₂cm(1/21/2p,00q)0.0s.0s. P4₂cm(1/21/2p,00q).s0.0s.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,1/2+u; y,-x,1/2+z,t,1/2+u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:l+n=2n 00lmn:l+n=2n -kklmn:l=2n kklmn:l=2n 0klmn:n=2n h0lmn:n=2n

2707 P4₂cm(1/21/2p,00q).s0.0.s0. equivalent group: P4₂cm(1/21/2p,00q).ss.0s.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,1/2+t,u; y,-x,1/2+z,1/2+t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:l+m=2n 00lmn:l+m=2n -kklmn:l=2n kklmn:l=2n 0klmn:m=2n h0lmn:m=2n

2708 P4bm(1/21/2p,00q).q0.q0.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; -x,y,z,t,u; x,1/2-y,z,t,u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n -kklmn:3k+k+3m=4n kklmn:3k+3k+3m=4n

2709 P4bm(1/21/2p,00q).qs.q0.0s. equivalent group: P4bm(1/21/2p,00q).qs.q0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; -x,y,z,t,1/2+u; x,1/2-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n -kklmn:3k+k+3m=4n kklmn:3k+3k+3m=4n 0klmn:n=2n h0lmn:n=2n

2710 P4bm(1/21/2p,00q).q0.q0.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,z,1/4+t,u; 3/4+y,3/4-x,z,1/4+t,u; 3/4-y,1/4-x,z,1/4+t,u; 1/4+y,1/4+x,z,1/4+t,u; -x,y,z,1/2+t,u; x,1/2-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n -kklmn:k+3k+m=4n kklmn:k+k+m=4n 0klmn:m=2n h0lmn:m=2n

2711 P4₂bc(1/21/2p,00q).q0.q0.0 equivalent group: P4₂bc(1/21/2p,00q).qs.q0.0s. P4₂bc(1/21/2p,00q).q0.q0.s0. P4₂bc(1/21/2p,00q).qs.q0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; -x,y,1/2+z,t,u; x,1/2-y,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n -kklmn:3k+k+3m=4n kklmn:3k+3k+3m=4n 0klmn:l=2n h0lmn:l=2n

2712 P4bm(1/21/2p,00q).q0.qs.0s. equivalent group: P4bm(1/21/2p,00q).q0.qs.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; -x,y,z,t,1/2+u; x,1/2-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n -kklmn:3k+k+3m+2n=4n kklmn:3k+3k+3m+2n=4n 0klmn:n=2n h0lmn:n=2n

2713 P4bm(1/21/2p,00q).qs.qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; -x,y,z,t,u; x,1/2-y,z,t,u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n -kklmn:3k+k+3m+2n=4n kklmn:3k+3k+3m+2n=4n

2714 P4bm(1/21/2p,00q).qs.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,z,1/4+t,1/2+u; 3/4+y,3/4-x,z,1/4+t,1/2+u; 3/4-y,1/4-x,z,1/4+t,1/2+u; 1/4+y,1/4+x,z,1/4+t,1/2+u; -x,y,z,1/2+t,u; x,1/2-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n -kklmn:k+3k+m+2n=4n kklmn:k+k+m+2n=4n 0klmn:m=2n h0lmn:m=2n

2715 P4₂bc(1/21/2p,00q).q0.qs.0s. equivalent group: P4₂bc(1/21/2p,00q).qs.qs.0 P4₂bc(1/21/2p,00q).q0.qs.ss. P4₂bc(1/21/2p,00q).qs.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; -x,y,1/2+z,t,1/2+u; x,1/2-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n -kklmn:3k+k+3m+2n=4n kklmn:3k+3k+3m+2n=4n 0klmn:l+n=2n h0lmn:l+n=2n

2716 P4nc(1/21/2p,00q).q0.q0.0 equivalent group: P4nc(1/21/2p,00q).q0.q0.s0. P4nc(1/21/2p,00q).q0.qs.0s. P4nc(1/21/2p,00q).q0.qs.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,1/2+z,t,u; x,1/2-y,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n -kklmn:3k+k+2l+3m=4n kklmn:3k+3k+2l+3m=4n 0klmn:l=2n h0lmn:l=2n

2717 P4nc(1/21/2p,00q).qs.q0.0s. equivalent group: P4nc(1/21/2p,00q).qs.q0.ss. P4nc(1/21/2p,00q).qs.qs.0 P4nc(1/21/2p,00q).qs.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,1/2+z,t,1/2+u; x,1/2-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n -kklmn:3k+k+2l+3m=4n kklmn:3k+3k+2l+3m=4n 0klmn:l+n=2n h0lmn:l+n=2n

2718 P4₂nm(1/21/2p,00q).q0.q0.0 equivalent group: P4₂nm(1/21/2p,00q).qs.qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,z,t,u; x,1/2-y,z,t,u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n -kklmn:3k+k+2l+3m=4n kklmn:3k+3k+2l+3m=4n

2719 P4₂nm(1/21/2p,00q).qs.q0.0s. equivalent group: P4₂nm(1/21/2p,00q).qs.q0.ss. P4₂nm(1/21/2p,00q).q0.qs.0s. P4₂nm(1/21/2p,00q).q0.qs.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,1/2+u; 1/4+y,1/4-x,1/2+z,1/4+t,1/2+u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,z,t,1/2+u; x,1/2-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:2l+m+2n=4n 00lmn:2l+m+2n=4n -kklmn:3k+k+2l+3m=4n kklmn:3k+3k+2l+3m=4n 0klmn:n=2n h0lmn:n=2n

2720 P4₂nm(1/21/2p,00q).q0.q0.s0. equivalent group: P4₂nm(1/21/2p,00q).qs.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 1/4-y,3/4+x,1/2+z,1/4+t,u; 3/4+y,3/4-x,1/2+z,1/4+t,u; 3/4-y,1/4-x,1/2+z,1/4+t,u; 1/4+y,1/4+x,1/2+z,1/4+t,u; -x,y,z,1/2+t,u; x,1/2-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n -kklmn:k+3k+2l+m=4n kklmn:k+k+2l+m=4n 0klmn:m=2n h0lmn:m=2n

2721 P4mm(p00,0p0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

2722 P4₂mc(p00,0p0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

00l00:l=2n 00l00:l=2n h-hl-nn:l=2n kklnn:l=2n

2723 P4mm(p00,0p0)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; x,-y,z,1/2+t,-u; -x,y,z,-t,1/2+u; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t;

h0lm0:m=2n 0kl0n:n=2n kklnn:n+n=2n

2724 P4₂mc(p00,0p0)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; x,-y,z,1/2+t,-u; -x,y,z,-t,1/2+u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,1/2+u,1/2+t;

00l00:l=2n 00l00:l=2n h0lm0:m=2n 0kl0n:n=2n h-hl-nn:l=2n kklnn:l+n+n=2n

2725 P4cc(p00,0p0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

h0lm0:l=2n 0kl0n:l=2n h-hl-nn:l=2n kklnn:l=2n

2726 P4₂cm(p00,0p0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

00l00:l=2n 00l00:l=2n h0lm0:l=2n 0kl0n:l=2n

2727 P4cc(p00,0p0)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; x,-y,1/2+z,1/2+t,-u; -x,y,1/2+z,-t,1/2+u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,1/2+u,1/2+t;

h0lm0:l+m=2n 0kl0n:l+n=2n h-hl-nn:l=2n kklnn:l+n+n=2n

2728 P4₂cm(p00,0p0)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; x,-y,1/2+z,1/2+t,-u; -x,y,1/2+z,-t,1/2+u; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t;

00l00:l=2n 00l00:l=2n h0lm0:l+m=2n 0kl0n:l+n=2n kklnn:n+n=2n

2729 P4bm(p00,0p0)0mm equivalent group: P4bm(p00,0p0)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; 1/2+x,-y,z,t,-u; -x,1/2+y,z,-t,u; -y,-x,z,-u,-t; 1/2+y,1/2+x,z,u,t;

h0lm0:h=2n 0kl0n:k=2n kklnn:k+k=2n

2730 P4₂bc(p00,0p0)0mm equivalent group: P4₂bc(p00,0p0)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; 1/2+x,-y,z,t,-u; -x,1/2+y,z,-t,u; -y,-x,1/2+z,-u,-t; 1/2+y,1/2+x,1/2+z,u,t;

00l00:l=2n 00l00:l=2n h0lm0:h=2n 0kl0n:k=2n h-hl-nn:l=2n kklnn:k+k+l=2n

2731 P4nc(p00,0p0)0mm equivalent group: P4nc(p00,0p0)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; 1/2+x,-y,1/2+z,t,-u; -x,1/2+y,1/2+z,-t,u; -y,-x,1/2+z,-u,-t; 1/2+y,1/2+x,1/2+z,u,t;

h0lm0:h+l=2n 0kl0n:k+l=2n h-hl-nn:l=2n kklnn:k+k+l=2n

2732 P4₂nm(p00,0p0)0mm equivalent group: P4₂nm(p00,0p0)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; 1/2+x,-y,1/2+z,t,-u; -x,1/2+y,1/2+z,-t,u; -y,-x,z,-u,-t; 1/2+y,1/2+x,z,u,t;

00l00:l=2n 00l00:l=2n h0lm0:h+l=2n 0kl0n:k+l=2n kklnn:k+k=2n

2733 P4mm(p1/20,1/2p0)0mm

(00000;01/201/20;1/20001/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:k+m=2n hklmn:h+n=2n hklmn:h+k+m+n=2n

2734 P4₂mc(p1/20,1/2p0)0mm

(00000;01/201/20;1/20001/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

hklmn:k+m=2n hklmn:h+n=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n h-hl-nn:l=2n kklnn:l=2n

2735 P4cc(p1/20,1/2p0)0mm

(00000;01/201/20;1/20001/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

hklmn:k+m=2n hklmn:h+n=2n hklmn:h+k+m+n=2n h0lm0:l=2n 0kl0n:l=2n h-hl-nn:l=2n kklnn:l=2n

2736 P4₂cm(p1/20,1/2p0)0mm

(00000;01/201/20;1/20001/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:k+m=2n hklmn:h+n=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n h0lm0:l=2n 0kl0n:l=2n

2737 P4mm(p01/2,0p1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:l+m+n=2n

2738 P4mm(p01/2,0p1/2)0gm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; x,-y,z,1/2+t,-u; -x,y,z,-t,1/2+u; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t;

hklmn:l+m+n=2n h0lm0:m=2n 0kl0n:n=2n kklnn:n+n=2n

2739 P4bm(p01/2,0p1/2)0mm equivalent group: P4bm(p01/2,0p1/2)0gm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; 1/2+x,1/2-y,z,t,-u; 1/2-x,1/2+y,z,-t,u; 1/2-y,1/2-x,z,-u,-t; 1/2+y,1/2+x,z,u,t;

hklmn:l+m+n=2n h0lm0:h=2n 0kl0n:k=2n kklnn:k+k=2n

2740 P4₂mc(p01/2,0p1/2)0md

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4-u,3/4+t; y,-x,1/4+z,3/4+u,1/4-t; x,-y,z,t,-u; -x,y,z,1/2-t,u; -y,-x,1/4+z,3/4-u,1/4-t; y,x,1/4+z,3/4+u,3/4+t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h-hl-nn:l-n+3n=4n kklnn:l+n+n=4n

2741 P4₂mc(p01/2,0p1/2)0gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; x,-y,z,1/2+t,-u; -x,y,z,1/2-t,1/2+u; -y,-x,1/4+z,3/4-u,1/4-t; y,x,1/4+z,1/4+u,1/4+t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h0lm0:m=2n 0kl0n:n=2n h-hl-nn:l-n+3n=4n kklnn:l+n+n=4n

2742 P4₂bc(p01/2,0p1/2)0md equivalent group: P4₂bc(p01/2,0p1/2)0gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4-u,3/4+t; y,-x,1/4+z,3/4+u,1/4-t; 1/2+x,1/2-y,z,t,-u; 1/2-x,1/2+y,z,1/2-t,u; 1/2-y,1/2-x,1/4+z,3/4-u,1/4-t; 1/2+y,1/2+x,1/4+z,3/4+u,3/4+t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h0lm0:h=2n 0kl0n:k=2n h-hl-nn:l-n+3n=4n kklnn:2k+2k+l+n+n=4n

2743 P4mm(p1/21/2,1/2p1/2)0mm

(00000;001/21/21/2;01/201/20;01/21/201/2;1/20001/2;1/201/21/20; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:l+m+n=2n hklmn:k+m=2n hklmn:k+l+n=2n hklmn:h+n=2n hklmn:h+l+m=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n

2744 P4nc(p1/21/2,1/2p1/2)0dm

(00000;001/21/21/2;01/201/20;01/21/201/2;1/20001/2;1/201/21/20; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; 3/4-x,3/4-y,z,3/4-t,1/4-u; 3/4-y,x,z,-u,1/4+t; y,3/4-x,z,3/4+u,-t; 3/4+x,-y,1/4+z,3/4+t,-u; 1/2-x,1/4+y,1/4+z,1/2-t,3/4+u; 1/2-y,-x,1/4+z,3/4-u,3/4-t; 3/4+y,1/4+x,1/4+z,1/2+u,t;

hklmn:l+m+n=2n hklmn:k+m=2n hklmn:k+l+n=2n hklmn:h+n=2n hklmn:h+l+m=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n h0lm0:3h+l+3m=4n 0kl0n:k+l+3n=4n h-hl-nn:h-3h+l=4n kklnn:2k+2k+l+n+n=4n

2745 P4₂mc(p1/21/2,1/2p1/2)0md

(00000;001/21/21/2;01/201/20;01/21/201/2;1/20001/2;1/201/21/20; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4-u,3/4+t; y,-x,1/4+z,3/4+u,1/4-t; x,-y,z,t,-u; -x,y,z,1/2-t,u; -y,-x,1/4+z,3/4-u,1/4-t; y,x,1/4+z,3/4+u,3/4+t;

hklmn:l+m+n=2n hklmn:k+m=2n hklmn:k+l+n=2n hklmn:h+n=2n hklmn:h+l+m=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h-hl-nn:l-n+3n=4n kklnn:l+n+n=4n

2746 P4₂nm(p1/21/2,1/2p1/2)0dm

(00000;001/21/21/2;01/201/20;01/21/201/2;1/20001/2;1/201/21/20; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; 3/4-x,3/4-y,z,1/4-t,1/4-u; 1/4-y,x,1/4+z,3/4-u,1/2+t; 1/2+y,3/4-x,1/4+z,1/2+u,3/4-t; 3/4+x,-y,1/4+z,3/4+t,-u; 1/2-x,1/4+y,1/4+z,-t,3/4+u; -y,-x,1/2+z,1/2-u,1/2-t; 1/4+y,1/4+x,1/2+z,1/4+u,1/4+t;

hklmn:l+m+n=2n hklmn:k+m=2n hklmn:k+l+n=2n hklmn:h+n=2n hklmn:h+l+m=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h0lm0:3h+l+3m=4n 0kl0n:k+l+3n=4n h-hl-nn:l=2n kklnn:k+k+2l+n+n=4n

2747 P4mm(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

2748 P4₂mc(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; -y,-x,1/2+z,t,-u; y,x,1/2+z,-t,u;

00l00:l=2n 00l00:l=2n -kklm0:l=2n kkl0n:l=2n

2749 P4mm(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; x,-y,z,-u,-t; -x,y,z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

0klnn:n+n=2n -kklm0:m=2n kkl0n:n=2n

2750 P4₂mc(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; x,-y,z,-u,-t; -x,y,z,1/2+u,1/2+t; -y,-x,1/2+z,1/2+t,-u; y,x,1/2+z,-t,1/2+u;

00l00:l=2n 00l00:l=2n 0klnn:n+n=2n -kklm0:l+m=2n kkl0n:l+n=2n

2751 P4cc(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,u,t; -y,-x,1/2+z,t,-u; y,x,1/2+z,-t,u;

h0lm-m:l=2n 0klnn:l=2n -kklm0:l=2n kkl0n:l=2n

2752 P4₂cm(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

00l00:l=2n 00l00:l=2n h0lm-m:l=2n 0klnn:l=2n

2753 P4cc(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,1/2+u,1/2+t; -y,-x,1/2+z,1/2+t,-u; y,x,1/2+z,-t,1/2+u;

h0lm-m:l=2n 0klnn:l+n+n=2n -kklm0:l+m=2n kkl0n:l+n=2n

2754 P4₂cm(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

00l00:l=2n 00l00:l=2n h0lm-m:l=2n 0klnn:l+n+n=2n -kklm0:m=2n kkl0n:n=2n

2755 P4bm(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,u,t; 1/2-y,1/2-x,z,t,-u; 1/2+y,1/2+x,z,-t,u;

h0lm-m:h=2n 0klnn:k=2n kkl0n:k+k=2n

2756 P4₂bc(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,u,t; 1/2-y,1/2-x,1/2+z,t,-u; 1/2+y,1/2+x,1/2+z,-t,u;

00l00:l=2n 00l00:l=2n h0lm-m:h=2n 0klnn:k=2n -kklm0:l=2n kkl0n:k+k+l=2n

2757 P4bm(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,1/2+u,1/2+t; 1/2-y,1/2-x,z,1/2+t,-u; 1/2+y,1/2+x,z,-t,1/2+u;

h0lm-m:h=2n 0klnn:k+n+n=2n -kklm0:m=2n kkl0n:k+k+n=2n

2758 P4₂bc(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,1/2+u,1/2+t; 1/2-y,1/2-x,1/2+z,1/2+t,-u; 1/2+y,1/2+x,1/2+z,-t,1/2+u;

00l00:l=2n 00l00:l=2n h0lm-m:h=2n 0klnn:k+n+n=2n -kklm0:l+m=2n kkl0n:k+k+l+n=2n

2759 P4nc(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2+x,1/2-y,1/2+z,-u,-t; 1/2-x,1/2+y,1/2+z,u,t; 1/2-y,1/2-x,1/2+z,t,-u; 1/2+y,1/2+x,1/2+z,-t,u;

h0lm-m:h+l=2n 0klnn:k+l=2n -kklm0:l=2n kkl0n:k+k+l=2n

2760 P4₂nm(-pp0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2+x,1/2-y,1/2+z,-u,-t; 1/2-x,1/2+y,1/2+z,u,t; 1/2-y,1/2-x,z,t,-u; 1/2+y,1/2+x,z,-t,u;

00l00:l=2n 00l00:l=2n h0lm-m:h+l=2n 0klnn:k+l=2n kkl0n:k+k=2n

2761 P4nc(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2+x,1/2-y,1/2+z,-u,-t; 1/2-x,1/2+y,1/2+z,1/2+u,1/2+t; 1/2-y,1/2-x,1/2+z,1/2+t,-u; 1/2+y,1/2+x,1/2+z,-t,1/2+u;

h0lm-m:h+l=2n 0klnn:k+l+n+n=2n -kklm0:l+m=2n kkl0n:k+k+l+n=2n

2762 P4₂nm(-pp0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2+x,1/2-y,1/2+z,-u,-t; 1/2-x,1/2+y,1/2+z,1/2+u,1/2+t; 1/2-y,1/2-x,z,1/2+t,-u; 1/2+y,1/2+x,z,-t,1/2+u;

00l00:l=2n 00l00:l=2n h0lm-m:h+l=2n 0klnn:k+l+n+n=2n -kklm0:m=2n kkl0n:k+k+n=2n

2763 P4mm(-pp1/2,pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

hklmn:l+m+n=2n

2764 P4mm(-pp1/2,pp1/2)0gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; x,-y,z,-u,-t; -x,y,z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

hklmn:l+m+n=2n 0klnn:n+n=2n -kklm0:m=2n kkl0n:n=2n

2765 P4bm(-pp1/2,pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,u,t; 1/2-y,1/2-x,z,t,-u; 1/2+y,1/2+x,z,-t,u;

hklmn:l+m+n=2n h0lm-m:h=2n 0klnn:k=2n kkl0n:k+k=2n

2766 P4bm(-pp1/2,pp1/2)0gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,1/2+u,1/2+t; 1/2-y,1/2-x,z,1/2+t,-u; 1/2+y,1/2+x,z,-t,1/2+u;

hklmn:l+m+n=2n h0lm-m:h=2n 0klnn:k+n+n=2n -kklm0:m=2n kkl0n:k+k+n=2n

2767 P4₂cm(-pp1/2,pp1/2)0dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; x,-y,3/4+z,1/4-u,3/4-t; -x,y,3/4+z,3/4+u,3/4+t; -y,-x,z,1/2+t,-u; y,x,z,1/2-t,1/2+u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h0lm-m:3l+3m-m=4n 0klnn:3l+3n+3n=4n -kklm0:m=2n kkl0n:n=2n

2768 P4₂cm(-pp1/2,pp1/2)0dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4+u,1/4-t; y,-x,1/4+z,3/4-u,3/4+t; x,-y,1/4+z,3/4-u,1/4-t; -x,y,1/4+z,3/4+u,3/4+t; -y,-x,1/2+z,1/2+t,1/2-u; y,x,1/2+z,-t,1/2+u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h0lm-m:l+m-3m=4n 0klnn:l+3n+3n=4n -kklm0:l+m=2n kkl0n:l+n=2n

2769 P4₂nm(-pp1/2,pp1/2)0dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; 1/2+x,1/2-y,3/4+z,1/4-u,3/4-t; 1/2-x,1/2+y,3/4+z,3/4+u,3/4+t; 1/2-y,1/2-x,z,1/2+t,-u; 1/2+y,1/2+x,z,1/2-t,1/2+u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h0lm-m:2h+3l+3m-m=4n 0klnn:2k+3l+3n+3n=4n -kklm0:m=2n kkl0n:k+k+n=2n

2770 P4₂nm(-pp1/2,pp1/2)0dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4+u,1/4-t; y,-x,1/4+z,3/4-u,3/4+t; 1/2+x,1/2-y,1/4+z,3/4-u,1/4-t; 1/2-x,1/2+y,1/4+z,3/4+u,3/4+t; 1/2-y,1/2-x,1/2+z,1/2+t,1/2-u; 1/2+y,1/2+x,1/2+z,-t,1/2+u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h0lm-m:2h+l+m-3m=4n 0klnn:2k+l+3n+3n=4n -kklm0:l+m=2n kkl0n:k+k+l+n=2n

2771 I4mm(00p,00-q)000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,z,t,u; y,x,z,t,u;

hklmn:h+k+l=2n

2772 I4mm(00p,00-q).0s.0.0s. equivalent group: I4mm(00p,00-q).s0.0.s0. I4mm(00p,00-q).ss.0.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n -kklmn:n=2n kklmn:n=2n

2773 I4md(00p,00-q)000 equivalent group: I4md(00p,00-q).0s.0.0s. I4md(00p,00-q).s0.0.s0. I4md(00p,00-q).ss.0.ss.

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; x,-y,z,t,u; 1/2-x,y,z,t,u; 1/4-y,3/4-x,3/4+z,t,u; 1/4+y,1/4+x,3/4+z,t,u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n -kklmn:3k+k+3l=4n kklmn:k+k+3l=4n

2774 I4mm(00p,00-q)0.0s.0s. equivalent group: I4mm(00p,00-q)0.s0.s0. I4mm(00p,00-q)0.ss.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

hklmn:h+k+l=2n h0lmn:n=2n 0klmn:n=2n -kklmn:n=2n kklmn:n=2n

2775 I4mm(00p,00-q).0s.0s.0 equivalent group: I4mm(00p,00-q).s0.s0.0 I4mm(00p,00-q).ss.ss.0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,t,u; y,x,z,t,u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:n=2n 0klmn:n=2n

2776 I4mm(00p,00-q).s0.0s.ss. equivalent group: I4mm(00p,00-q).ss.0s.s0. I4mm(00p,00-q).0s.s0.ss. I4mm(00p,00-q).ss.s0.0s. I4mm(00p,00-q).0s.ss.s0. I4mm(00p,00-q).s0.ss.0s.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,1/2+t,u; y,-x,z,1/2+t,u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,1/2+t,1/2+u; y,x,z,1/2+t,1/2+u;

hklmn:h+k+l=2n 00lmn:m=2n 00lmn:m=2n h0lmn:n=2n 0klmn:n=2n -kklmn:m+n=2n kklmn:m+n=2n

2777 I4md(00p,00-q)0.0s.0s. equivalent group: I4md(00p,00-q).0s.0s.0 I4md(00p,00-q).s0.0s.ss. I4md(00p,00-q).ss.0s.s0. I4md(00p,00-q)0.s0.s0. I4md(00p,00-q).0s.s0.ss. I4md(00p,00-q).s0.s0.0 I4md(00p,00-q).ss.s0.0s. I4md(00p,00-q)0.ss.ss. I4md(00p,00-q).0s.ss.s0. I4md(00p,00-q).s0.ss.0s. I4md(00p,00-q).ss.ss.0

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; x,-y,z,t,1/2+u; 1/2-x,y,z,t,1/2+u; 1/4-y,3/4-x,3/4+z,t,1/2+u; 1/4+y,1/4+x,3/4+z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n h0lmn:n=2n 0klmn:n=2n -kklmn:3k+k+3l+2n=4n kklmn:k+k+3l+2n=4n

2778 I4cc(00p,00-q)000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

hklmn:h+k+l=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l=2n kklmn:l=2n

2779 I4cc(00p,00-q).0s.0.0s. equivalent group: I4cc(00p,00-q).s0.0.s0. I4cc(00p,00-q).ss.0.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l+n=2n kklmn:l+n=2n

2780 I4₁cd(00p,00-q)000 equivalent group: I4₁cd(00p,00-q).0s.0.0s. I4₁cd(00p,00-q).s0.0.s0. I4₁cd(00p,00-q).ss.0.ss.

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 3/4-y,3/4+x,1/4+z,t,u; 3/4+y,1/4-x,1/4+z,t,u; x,-y,1/2+z,t,u; 1/2-x,y,1/2+z,t,u; 3/4-y,1/4-x,3/4+z,t,u; 3/4+y,3/4+x,3/4+z,t,u;

hklmn:h+k+l=2n 00lmn:l=4n 00lmn:l=4n h0lmn:l=2n 0klmn:l=2n -kklmn:k+3k+3l=4n kklmn:k+k+3l=4n

2781 I4cc(00p,00-q)0.0s.0s. equivalent group: I4cc(00p,00-q)0.s0.s0. I4cc(00p,00-q)0.ss.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

hklmn:h+k+l=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:l+n=2n kklmn:l+n=2n

2782 I4cc(00p,00-q).0s.0s.0 equivalent group: I4cc(00p,00-q).s0.s0.0 I4cc(00p,00-q).ss.ss.0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:l=2n kklmn:l=2n

2783 I4cc(00p,00-q).s0.0s.ss. equivalent group: I4cc(00p,00-q).ss.0s.s0. I4cc(00p,00-q).0s.s0.ss. I4cc(00p,00-q).ss.s0.0s. I4cc(00p,00-q).0s.ss.s0. I4cc(00p,00-q).s0.ss.0s.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,1/2+t,u; y,-x,z,1/2+t,u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; -y,-x,1/2+z,1/2+t,1/2+u; y,x,1/2+z,1/2+t,1/2+u;

hklmn:h+k+l=2n 00lmn:m=2n 00lmn:m=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:l+m+n=2n kklmn:l+m+n=2n

2784 I4₁cd(00p,00-q)0.0s.0s. equivalent group: I4₁cd(00p,00-q).0s.0s.0 I4₁cd(00p,00-q).s0.0s.ss. I4₁cd(00p,00-q).ss.0s.s0. I4₁cd(00p,00-q)0.s0.s0. I4₁cd(00p,00-q).0s.s0.ss. I4₁cd(00p,00-q).s0.s0.0 I4₁cd(00p,00-q).ss.s0.0s. I4₁cd(00p,00-q)0.ss.ss. I4₁cd(00p,00-q).0s.ss.s0. I4₁cd(00p,00-q).s0.ss.0s. I4₁cd(00p,00-q).ss.ss.0

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 3/4-y,3/4+x,1/4+z,t,u; 3/4+y,1/4-x,1/4+z,t,u; x,-y,1/2+z,t,1/2+u; 1/2-x,y,1/2+z,t,1/2+u; 3/4-y,1/4-x,3/4+z,t,1/2+u; 3/4+y,3/4+x,3/4+z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:l=4n 00lmn:l=4n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:k+3k+3l+2n=4n kklmn:k+k+3l+2n=4n

2785 I4mm(p00,0p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:h+k+l=2n

2786 I4md(p00,0p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,-u,t; 1/4+y,3/4-x,3/4+z,u,-t; x,-y,z,t,-u; 1/2-x,y,z,-t,u; 1/4-y,3/4-x,3/4+z,-u,-t; 1/4+y,1/4+x,3/4+z,u,t;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h-hl-nn:3h-h+3l=4n kklnn:k+k+3l=4n

2787 I4mm(p00,0p0)0gm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; x,-y,z,1/2+t,-u; -x,y,z,-t,1/2+u; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t;

hklmn:h+k+l=2n h0lm0:m=2n 0kl0n:n=2n kklnn:n+n=2n

2788 I4md(p00,0p0)0gm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,3/4+z,1/2-u,t; 1/4+y,3/4-x,3/4+z,u,1/2-t; x,-y,z,1/2+t,-u; 1/2-x,y,z,-t,1/2+u; 1/4-y,3/4-x,3/4+z,-u,-t; 1/4+y,1/4+x,3/4+z,1/2+u,1/2+t;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h0lm0:m=2n 0kl0n:n=2n h-hl-nn:3h-h+3l=4n kklnn:k+k+3l+2n+2n=4n

2789 I4cc(p00,0p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

hklmn:h+k+l=2n h0lm0:l=2n 0kl0n:l=2n h-hl-nn:l=2n kklnn:l=2n

2790 I4₁cd(p00,0p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 3/4-y,3/4+x,1/4+z,-u,t; 3/4+y,1/4-x,1/4+z,u,-t; x,-y,1/2+z,t,-u; 1/2-x,y,1/2+z,-t,u; 3/4-y,1/4-x,3/4+z,-u,-t; 3/4+y,3/4+x,3/4+z,u,t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h0lm0:l=2n 0kl0n:l=2n h-hl-nn:h-3h+3l=4n kklnn:k+k+3l=4n

2791 I4cc(p00,0p0)0gm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; x,-y,1/2+z,1/2+t,-u; -x,y,1/2+z,-t,1/2+u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,1/2+u,1/2+t;

hklmn:h+k+l=2n h0lm0:l+m=2n 0kl0n:l+n=2n h-hl-nn:l=2n kklnn:l+n+n=2n

2792 I4₁cd(p00,0p0)0gm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,1/2-t,1/2-u; 3/4-y,3/4+x,1/4+z,1/2-u,t; 3/4+y,1/4-x,1/4+z,u,1/2-t; x,-y,1/2+z,1/2+t,-u; 1/2-x,y,1/2+z,-t,1/2+u; 3/4-y,1/4-x,3/4+z,-u,-t; 3/4+y,3/4+x,3/4+z,1/2+u,1/2+t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h0lm0:l+m=2n 0kl0n:l+n=2n h-hl-nn:h-3h+3l=4n kklnn:k+k+3l+2n+2n=4n

2793 I4mm(-pp0,pp0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

hklmn:h+k+l=2n

2794 I4mm(-pp0,pp0)0gg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; x,-y,z,-u,-t; -x,y,z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

hklmn:h+k+l=2n 0klnn:n+n=2n -kklm0:m=2n kkl0n:n=2n

2795 I4md(-pp0,pp0)0mm equivalent group: I4md(-pp0,pp0)0gg

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; x,-y,z,-u,-t; 1/2-x,y,z,u,t; 1/4-y,3/4-x,3/4+z,t,-u; 1/4+y,1/4+x,3/4+z,-t,u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n -kklm0:3k+k+3l=4n kkl0n:k+k+3l=4n

2796 I4cc(-pp0,pp0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,u,t; -y,-x,1/2+z,t,-u; y,x,1/2+z,-t,u;

hklmn:h+k+l=2n h0lm-m:l=2n 0klnn:l=2n -kklm0:l=2n kkl0n:l=2n

2797 I4cc(-pp0,pp0)0gg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,1/2+u,1/2+t; -y,-x,1/2+z,1/2+t,-u; y,x,1/2+z,-t,1/2+u;

hklmn:h+k+l=2n h0lm-m:l=2n 0klnn:l+n+n=2n -kklm0:l+m=2n kkl0n:l+n=2n

2798 I4cd(-pp0,pp0)0mm equivalent group: I4cd(-pp0,pp0)0gg

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; x,-y,1/2+z,-u,-t; 1/2-x,y,1/2+z,u,t; 1/4-y,3/4-x,1/4+z,t,-u; 1/4+y,1/4+x,1/4+z,-t,u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h0lm-m:l=2n 0klnn:l=2n -kklm0:3k+k+l=4n kkl0n:k+k+l=4n

2799 I4mm(-p+1/2p+1/20,p+1/2p+1/21)0mm

(00000;1/201/21/20;01/21/201/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -y,-x,z,-u,-t; y,x,z,u,t; -x,y,z,t,-u; x,-y,z,-t,u;

hklmn:h+l+m=2n hklmn:k+l+n=2n hklmn:h+k+m+n=2n

2800 I4mm(-p+1/2p+1/20,p+1/2p+1/21)0gg

(00000;1/201/21/20;01/21/201/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t; -x,y,z,1/2+t,-u; x,-y,z,-t,1/2+u;

hklmn:h+l+m=2n hklmn:k+l+n=2n hklmn:h+k+m+n=2n kklnn:n+n=2n 0klm0:m=2n h0l0n:n=2n

2801 I4bm(-p+1/2p+1/20,p+1/2p+1/21)0dg

(00000;1/201/21/20;01/21/201/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -y,1/2-x,z,1/2-u,-t; y,1/2+x,z,1/2+u,t; -x,1/2+y,z,1/2+t,-u; x,1/2-y,z,1/2-t,u;

hklmn:h+l+m=2n hklmn:k+l+n=2n hklmn:h+k+m+n=2n h-hl-nn:3h-h-n+3n=4n kklnn:k+k+n+n=4n 0klm0:k+m=2n

2802 I4bm(-p+1/2p+1/20,p+1/2p+1/21)0dm

(00000;1/201/21/20;01/21/201/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -y,1/2-x,z,1/2-u,-t; y,1/2+x,z,u,1/2+t; -x,1/2+y,z,t,-u; x,1/2-y,z,1/2-t,1/2+u;

hklmn:h+l+m=2n hklmn:k+l+n=2n hklmn:h+k+m+n=2n h-hl-nn:3h-h-n+3n=4n kklnn:k+k+n+n=4n 0klm0:k=2n h0l0n:n=2n

2803 P-42m(00p,00q)000

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; -y,-x,z,t,u; y,x,z,t,u;

2804 P-42m(00p,00q)00.0s. equivalent group: P-42m(00p,00q)00.s0. P-42m(00p,00q)00.ss.

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

-kklmn:n=2n kklmn:n=2n

2805 P-42c(00p,00q)000 equivalent group: P-42c(00p,00q)00.0s. P-42c(00p,00q)00.s0. P-42c(00p,00q)00.ss.

x,y,z,t,u; -x,-y,z,t,u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

-kklmn:l=2n kklmn:l=2n

2806 P-42₁m(00p,00q)000

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2-y,1/2-x,z,t,u; y,x,z,t,u;

0k000:k=2n h0000:h=2n

2807 P-42₁m(00p,00q)00.0s. equivalent group: P-42₁m(00p,00q)00.s0. P-42₁m(00p,00q)00.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2-y,1/2-x,z,t,1/2+u; y,x,z,t,1/2+u;

0k000:k=2n h0000:h=2n -kklmn:n=2n kklmn:n=2n

2808 P-42₁c(00p,00q)000 equivalent group: P-42₁c(00p,00q)00.0s. P-42₁c(00p,00q)00.s0. P-42₁c(00p,00q)00.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2-y,1/2-x,1/2+z,t,u; y,x,1/2+z,t,u;

0k000:k=2n h0000:h=2n -kklmn:l=2n kklmn:l=2n

2809 P-42m(1/21/2p,00q)000

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n

2810 P-42m(1/21/2p,00q)00.0s. equivalent group: P-42m(1/21/2p,00q)00.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n 0klmn:n=2n h0lmn:n=2n

2811 P-42m(1/21/2p,00q)00.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,1/2-t,-u; -y,x,-z,1/2-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n 0klmn:m=2n h0lmn:m=2n

2812 P-42c(1/21/2p,00q)000 equivalent group: P-42c(1/21/2p,00q)00.0s. P-42c(1/21/2p,00q)00.s0. P-42c(1/21/2p,00q)00.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,y,1/2+z,t,u; x,-y,1/2+z,t,u;

hklmn:h+k+m=2n 0klmn:l=2n h0lmn:l=2n

2813 P-42m(0p0,p00)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

2814 P-42c(0p0,p00)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

h-hl-nn:l=2n kklnn:l=2n

2815 P-42m(0p0,p00)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t;

0k0m0:m=2n h000n:n=2n kklnn:n+n=2n

2816 P-42c(0p0,p00)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,1/2-z,1/2-u,t; -y,x,1/2-z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,1/2+u,1/2+t;

0k0m0:m=2n h000n:n=2n h-hl-nn:l=2n kklnn:l+n+n=2n

2817 P-42₁m(0p0,p00)0mm equivalent group: P-42₁m(0p0,p00)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,-z,-t,u; 1/2-y,1/2-x,z,-u,-t; y,x,z,u,t;

0k0m0:k=2n h000n:h=2n

2818 P-42₁c(0p0,p00)0mm equivalent group: P-42₁c(0p0,p00)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,-z,-t,u; 1/2-y,1/2-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

0k0m0:k=2n h000n:h=2n h-hl-nn:l=2n kklnn:l=2n

2819 P-42m(1/2p0,p1/20)0mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n

2820 P-42c(1/2p0,p1/20)0mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,1/2+z,-u,-t; y,x,1/2+z,u,t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n h-hl-nn:l=2n kklnn:l=2n

2821 P-42m(0p1/2,p01/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:l+m+n=2n

2822 P-42c(0p1/2,p01/2)0gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; y,-x,1/4-z,3/4-u,3/4+t; -y,x,1/4-z,1/4+u,3/4-t; -x,y,-z,t,-u; x,-y,-z,-t,1/2+u; -y,-x,3/4+z,3/4-u,1/4-t; y,x,3/4+z,1/4+u,1/4+t;

hklmn:l+m+n=2n h000n:n=2n h-hl-nn:3l-n+3n=4n kklnn:3l+n+n=4n

2823 P-42₁m(0p1/2,p01/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,u; 1/2-y,1/2-x,z,-u,-t; 1/2+y,1/2+x,z,u,t;

hklmn:l+m+n=2n 0k0m0:k=2n h000n:h=2n kklnn:k+k=2n

2824 P-42₁c(0p1/2,p01/2)0gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; y,-x,1/4-z,3/4-u,3/4+t; -y,x,1/4-z,1/4+u,3/4-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,1/2+u; 1/2-y,1/2-x,3/4+z,3/4-u,1/4-t; 1/2+y,1/2+x,3/4+z,1/4+u,1/4+t;

hklmn:l+m+n=2n 0k0m0:k=2n h000n:h+n=2n h-hl-nn:3l-n+3n=4n kklnn:2k+2k+3l+n+n=4n

2825 P-42m(1/2p1/2,p1/21/2)0mm

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n

2826 P-42c(1/2p1/2,p1/21/2)0md

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,-u; 3/4+y,1/4-x,1/4-z,-u,1/2+t; 3/4-y,1/4+x,1/4-z,u,-t; -x,y,-z,t,-u; x,-y,-z,1/2-t,u; 1/4-y,1/4-x,3/4+z,-u,1/2-t; 1/4+y,1/4+x,3/4+z,u,t;

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n h-hl-nn:3l-3n+n=4n kklnn:k+k+3l=4n

2827 P-42m(p-p0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

2828 P-42c(p-p0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; -y,-x,1/2+z,t,-u; y,x,1/2+z,-t,u;

-kklm0:l=2n kkl0n:l=2n

2829 P-42m(p-p0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

h00nn:n+n=2n -kklm0:m=2n kkl0n:n=2n

2830 P-42c(p-p0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,1/2-z,u,1/2-t; -y,x,1/2-z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; -y,-x,1/2+z,1/2+t,-u; y,x,1/2+z,-t,1/2+u;

h00nn:n+n=2n -kklm0:l+m=2n kkl0n:l+n=2n

2831 P-42₁m(p-p0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2-y,1/2-x,z,t,-u; 1/2+y,1/2+x,z,-t,u;

0k0-nn:k=2n h00nn:h=2n kkl0n:k+k=2n

2832 P-42₁c(p-p0,pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2-y,1/2-x,1/2+z,t,-u; 1/2+y,1/2+x,1/2+z,-t,u;

0k0-nn:k=2n h00nn:h=2n -kklm0:l=2n kkl0n:k+k+l=2n

2833 P-42₁m(p-p0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2-y,1/2-x,z,1/2+t,-u; 1/2+y,1/2+x,z,-t,1/2+u;

0k0-nn:k=2n h00nn:h+n+n=2n -kklm0:m=2n kkl0n:k+k+n=2n

2834 P-42₁c(p-p0,pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,1/2-z,u,1/2-t; -y,x,1/2-z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2-y,1/2-x,1/2+z,1/2+t,-u; 1/2+y,1/2+x,1/2+z,-t,1/2+u;

0k0-nn:k=2n h00nn:h+n+n=2n -kklm0:l+m=2n kkl0n:k+k+l+n=2n

2835 P-42m(p-p1/2,pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

hklmn:l+m+n=2n

2836 P-42m(p-p1/2,pp1/2)0gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

hklmn:l+m+n=2n h00nn:n+n=2n -kklm0:m=2n kkl0n:n=2n

2837 P-42₁m(p-p1/2,pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2-y,1/2-x,z,t,-u; 1/2+y,1/2+x,z,-t,u;

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h=2n kkl0n:k+k=2n

2838 P-42₁m(p-p1/2,pp1/2)0gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2-y,1/2-x,z,1/2+t,-u; 1/2+y,1/2+x,z,-t,1/2+u;

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h+n+n=2n -kklm0:m=2n kkl0n:k+k+n=2n

2839 P-4m2(00p,00q)000

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,z,t,u; -x,y,z,t,u; y,x,-z,-t,-u; -y,-x,-z,-t,-u;

2840 P-4m2(00p,00q)0.0s.0 equivalent group: P-4m2(00p,00q)0.s0.0 P-4m2(00p,00q)0.ss.0

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u;

h0lmn:n=2n 0klmn:n=2n

2841 P-4c2(00p,00q)000 equivalent group: P-4c2(00p,00q)0.0s.0 P-4c2(00p,00q)0.s0.0 P-4c2(00p,00q)0.ss.0

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u;

h0lmn:l=2n 0klmn:l=2n

2842 P-4b2(00p,00q)000

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; y,x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u;

h0lmn:h=2n 0klmn:k=2n

2843 P-4b2(00p,00q)0.0s.0 equivalent group: P-4b2(00p,00q)0.s0.0 P-4b2(00p,00q)0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; y,x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u;

h0lmn:h+n=2n 0klmn:k+n=2n

2844 P-4n2(00p,00q)000 equivalent group: P-4n2(00p,00q)0.0s.0 P-4n2(00p,00q)0.s0.0 P-4n2(00p,00q)0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; y,x,1/2-z,-t,-u; 1/2-y,1/2-x,1/2-z,-t,-u;

h0lmn:h+l=2n 0klmn:k+l=2n

2845 P-4m2(1/21/2p,00q)000

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,z,t,u; y,x,z,t,u; x,-y,-z,-t,-u; -x,y,-z,-t,-u;

hklmn:h+k+m=2n

2846 P-4m2(1/21/2p,00q)0.0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; x,-y,-z,-t,1/2-u; -x,y,-z,-t,1/2-u;

hklmn:h+k+m=2n -kklmn:n=2n kklmn:n=2n

2847 P-4c2(1/21/2p,00q)000 equivalent group: P-4c2(1/21/2p,00q)0.0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; x,-y,1/2-z,-t,-u; -x,y,1/2-z,-t,-u;

hklmn:h+k+m=2n -kklmn:l=2n kklmn:l=2n

2848 P-4b2(1/21/2p,00q)0.q0.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4+y,1/4-x,-z,1/4-t,-u; 1/4-y,1/4+x,-z,1/4-t,-u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; x,-y,-z,-t,-u; -x,1/2+y,-z,-t,-u;

hklmn:h+k+m=2n -kklmn:3k+k+3m=4n kklmn:3k+3k+3m=4n 0k000:k=2n

2849 P-4b2(1/21/2p,00q)0.qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4+y,1/4-x,-z,1/4-t,-u; 1/4-y,1/4+x,-z,1/4-t,-u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; x,-y,-z,-t,1/2-u; -x,1/2+y,-z,-t,1/2-u;

hklmn:h+k+m=2n -kklmn:3k+k+3m+2n=4n kklmn:3k+3k+3m+2n=4n 0k000:k=2n

2850 P-4n2(1/21/2p,00q)0.q0.0 equivalent group: P-4n2(1/21/2p,00q)0.qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4+y,1/4-x,-z,1/4-t,-u; 1/4-y,1/4+x,-z,1/4-t,-u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; x,-y,1/2-z,-t,-u; -x,1/2+y,1/2-z,-t,-u;

hklmn:h+k+m=2n -kklmn:3k+k+2l+3m=4n kklmn:3k+3k+2l+3m=4n 0k000:k=2n

2851 P-4m2(-p00,0p0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

2852 P-4m2(-p00,0p0)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t; x,-y,z,1/2+t,-u; -x,y,z,-t,1/2+u; y,x,-z,-u,-t; -y,-x,-z,1/2+u,1/2+t;

h0lm0:m=2n 0kl0n:n=2n h-h0nn:n+n=2n

2853 P-4c2(-p00,0p0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t;

h0lm0:l=2n 0kl0n:l=2n

2854 P-4c2(-p00,0p0)0gm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t; x,-y,1/2+z,1/2+t,-u; -x,y,1/2+z,-t,1/2+u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,1/2+u,1/2+t;

h0lm0:l+m=2n 0kl0n:l+n=2n h-h0nn:n+n=2n

2855 P-4b2(-p00,0p0)0mm equivalent group: P-4b2(-p00,0p0)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; 1/2+x,-y,z,t,-u; -x,1/2+y,z,-t,u; y,x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t;

h0lm0:h=2n 0kl0n:k=2n

2856 P-4n2(-p00,0p0)0mm equivalent group: P-4n2(-p00,0p0)0gm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; 1/2+x,-y,1/2+z,t,-u; -x,1/2+y,1/2+z,-t,u; y,x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,u,t;

h0lm0:h+l=2n 0kl0n:k+l=2n

2857 P-4m2(-p1/20,1/2p0)0mm

(00000;01/201/20;1/20001/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:k+m=2n hklmn:h+n=2n hklmn:h+k+m+n=2n

2858 P-4c2(-p1/20,1/2p0)0mm

(00000;01/201/20;1/20001/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t;

hklmn:k+m=2n hklmn:h+n=2n hklmn:h+k+m+n=2n h0lm0:l=2n 0kl0n:l=2n

2859 P-4m2(-p01/2,0p1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:l+m+n=2n

2860 P-4m2(-p01/2,0p1/2)0gm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; y,-x,1/4-z,3/4-u,3/4+t; -y,x,1/4-z,1/4+u,3/4-t; x,-y,z,1/2+t,-u; -x,y,z,1/2-t,1/2+u; y,x,1/4-z,1/4-u,1/4-t; -y,-x,1/4-z,3/4+u,1/4+t;

hklmn:l+m+n=2n h0lm0:m=2n 0kl0n:n=2n h-h0nn:n+n=2n

2861 P-4b2₁(-p01/2,0p1/2)0mm equivalent group: P-4b2₁(-p01/2,0p1/2)0gm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; 1/2+x,1/2-y,z,t,-u; 1/2-x,1/2+y,z,-t,u; 1/2+y,1/2+x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t;

hklmn:l+m+n=2n h0lm0:h=2n 0kl0n:k=2n kk0m-m:k+k=2n

2862 P-4m2(-p1/21/2,1/2p1/2)0mm

(00000;001/21/21/2;01/201/20;01/21/201/2;1/20001/2;1/201/21/20; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:l+m+n=2n hklmn:k+m=2n hklmn:k+l+n=2n hklmn:h+n=2n hklmn:h+l+m=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n

2863 P-4n2(-p1/21/2,1/2p1/2)0dm

(00000;001/21/21/2;01/201/20;01/21/201/2;1/20001/2;1/201/21/20; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; 1/4-x,3/4-y,z,1/4-t,1/4-u; 1/4+y,-x,3/4-z,1/4-u,t; -y,3/4+x,3/4-z,u,1/4-t; 3/4+x,-y,1/4+z,3/4+t,-u; -x,1/4+y,1/4+z,-t,3/4+u; y,x,-z,-u,-t; 3/4-y,1/4-x,-z,3/4+u,3/4+t;

hklmn:l+m+n=2n hklmn:k+m=2n hklmn:k+l+n=2n hklmn:h+n=2n hklmn:h+l+m=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n h0lm0:3h+l+3m=4n 0kl0n:k+l+3n=4n h-h0nn:h-3h+3n+3n=4n

2864 P-4m2(pp0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u;

2865 P-4m2(pp0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; x,-y,z,-u,-t; -x,y,z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u;

0klnn:n+n=2n hh0m0:m=2n h-h00n:n=2n

2866 P-4c2(pp0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,u,t; y,x,1/2-z,t,-u; -y,-x,1/2-z,-t,u;

h0lm-m:l=2n 0klnn:l=2n

2867 P-4c2(pp0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u;

h0lm-m:l=2n 0klnn:l+n+n=2n hh0m0:m=2n h-h00n:n=2n

2868 P-4b2₁(pp0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,u,t; 1/2+y,1/2+x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u;

h0lm-m:h=2n 0klnn:k=2n hh0m0:h+h=2n

2869 P-4b2₁(pp0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,-u; 1/2-y,1/2-x,-z,-t,1/2+u;

h0lm-m:h=2n 0klnn:k+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n

2870 P-4n2₁(pp0,-pp0)0mm

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2+x,1/2-y,1/2+z,-u,-t; 1/2-x,1/2+y,1/2+z,u,t; 1/2+y,1/2+x,1/2-z,t,-u; 1/2-y,1/2-x,1/2-z,-t,u;

h0lm-m:h+l=2n 0klnn:k+l=2n hh0m0:h+h=2n

2871 P-4n2₁(pp0,-pp0)0gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; 1/2+x,1/2-y,1/2+z,-u,-t; 1/2-x,1/2+y,1/2+z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,-u; 1/2-y,1/2-x,1/2-z,-t,1/2+u;

h0lm-m:h+l=2n 0klnn:k+l+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n

2872 P-4m2(pp1/2,-pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u;

hklmn:l+m+n=2n

2873 P-4c2(pp1/2,-pp1/2)0dm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; y,-x,1/4-z,3/4+u,3/4-t; -y,x,1/4-z,3/4-u,1/4+t; x,-y,3/4+z,3/4-u,1/4-t; -x,y,3/4+z,3/4+u,3/4+t; y,x,-z,t,1/2-u; -y,-x,-z,1/2-t,1/2+u;

hklmn:l+m+n=2n h0lm-m:3l+m-3m=4n 0klnn:3l+3n+3n=4n h-h00n:n=2n

2874 P-4b2₁(pp1/2,-pp1/2)0mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2+x,1/2-y,z,-u,-t; 1/2-x,1/2+y,z,u,t; 1/2+y,1/2+x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u;

hklmn:l+m+n=2n h0lm-m:h=2n 0klnn:k=2n hh0m0:h+h=2n

2875 P-4n2₁(pp1/2,-pp1/2)0dm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; y,-x,1/4-z,3/4+u,3/4-t; -y,x,1/4-z,3/4-u,1/4+t; 1/2+x,1/2-y,3/4+z,3/4-u,1/4-t; 1/2-x,1/2+y,3/4+z,3/4+u,3/4+t; 1/2+y,1/2+x,-z,t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2+u;

hklmn:l+m+n=2n h0lm-m:2h+3l+m-3m=4n 0klnn:2k+3l+3n+3n=4n hh0m0:h+h=2n h-h00n:n=2n

2876 I-4m2(00p,00-q)000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,z,t,u; -x,y,z,t,u; y,x,-z,-t,-u; -y,-x,-z,-t,-u;

hklmn:h+k+l=2n

2877 I-4m2(00p,00-q)0.0s.0 equivalent group: I-4m2(00p,00-q)0.s0.0 I-4m2(00p,00-q)0.ss.0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u;

hklmn:h+k+l=2n h0lmn:n=2n 0klmn:n=2n

2878 I-4c2(00p,00-q)000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u;

hklmn:h+k+l=2n h0lmn:l=2n 0klmn:l=2n

2879 I-4c2(00p,00-q)0.0s.0 equivalent group: I-4c2(00p,00-q)0.s0.0 I-4c2(00p,00-q)0.ss.0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; y,x,1/2-z,-t,1/2-u; -y,-x,1/2-z,-t,1/2-u;

hklmn:h+k+l=2n h0lmn:l+n=2n 0klmn:l+n=2n

2880 I-4m2(-p00,0p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,t,-u; -x,y,z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t;

hklmn:h+k+l=2n

2881 I-4m2(-p00,0p0)0gm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t; x,-y,z,1/2+t,-u; -x,y,z,-t,1/2+u; y,x,-z,-u,-t; -y,-x,-z,1/2+u,1/2+t;

hklmn:h+k+l=2n h0lm0:m=2n 0kl0n:n=2n h-h0nn:n+n=2n

2882 I-4c2(-p00,0p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,1/2+z,t,-u; -x,y,1/2+z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t;

hklmn:h+k+l=2n h0lm0:l=2n 0kl0n:l=2n

2883 I-4c2(-p00,0p0)0gm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t; x,-y,1/2+z,1/2+t,-u; -x,y,1/2+z,-t,1/2+u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,1/2+u,1/2+t;

hklmn:h+k+l=2n h0lm0:l+m=2n 0kl0n:l+n=2n h-h0nn:n+n=2n

2884 I-4m2(-p-p0,p-p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,z,-u,-t; -x,y,z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u;

hklmn:h+k+l=2n

2885 I-4m2(-p-p0,p-p0)0gg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; x,-y,z,-u,-t; -x,y,z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u;

hklmn:h+k+l=2n 0klnn:n+n=2n hh0m0:m=2n h-h00n:n=2n

2886 I-4c2(-p-p0,p-p0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,u,t; y,x,1/2-z,t,-u; -y,-x,1/2-z,-t,u;

hklmn:h+k+l=2n h0lm-m:l=2n 0klnn:l=2n

2887 I-4c2(-p-p0,p-p0)0gg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; x,-y,1/2+z,-u,-t; -x,y,1/2+z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u;

hklmn:h+k+l=2n h0lm-m:l=2n 0klnn:l+n+n=2n hh0m0:m=2n h-h00n:n=2n

2888 I-4m2(-p+1/2-p+1/21,p+1/2-p+1/20)0mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; -y,-x,z,-u,-t; y,x,z,u,t; x,-y,-z,t,-u; -x,y,-z,-t,u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n

2889 I-4b2₁(-p+1/2-p+1/21,p+1/2-p+1/20)0dg

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; -y,1/2-x,z,1/2-u,-t; y,1/2+x,z,1/2+u,t; x,1/2-y,-z,1/2+t,-u; -x,1/2+y,-z,1/2-t,u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n h-hl-nn:3h-h-n+3n=4n kklnn:k+k+n+n=4n h00m0:m=2n 0k00n:k=2n

2890 I-42m(00p,00-q)000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; -y,-x,z,t,u; y,x,z,t,u;

hklmn:h+k+l=2n

2891 I-42m(00p,00-q)00.0s. equivalent group: I-42m(00p,00-q)00.s0. I-42m(00p,00-q)00.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

hklmn:h+k+l=2n -kklmn:n=2n kklmn:n=2n

2892 I-42₁d(00p,00-q)000 equivalent group: I-42₁d(00p,00-q)00.0s. I-42₁d(00p,00-q)00.s0. I-42₁d(00p,00-q)00.ss.

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4+y,1/4-x,3/4-z,-t,-u; 1/4-y,3/4+x,3/4-z,-t,-u; -x,y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 3/4-y,1/4-x,1/4+z,t,u; 3/4+y,3/4+x,1/4+z,t,u;

hklmn:h+k+l=2n h0000:h=2n -kklmn:k+3k+l=4n kklmn:3k+3k+l=4n

2893 I-42m(0p0,p00)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,-u,t; -y,x,-z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; -y,-x,z,-u,-t; y,x,z,u,t;

hklmn:h+k+l=2n

2894 I-42₁d(0p0,p00)0mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4+y,1/4-x,3/4-z,-u,t; 1/4-y,3/4+x,3/4-z,u,-t; -x,y,-z,t,-u; 1/2+x,-y,-z,-t,u; 3/4-y,1/4-x,1/4+z,-u,-t; 3/4+y,3/4+x,1/4+z,u,t;

hklmn:h+k+l=2n h000n:h=2n h-hl-nn:h-3h+l=4n kklnn:3k+3k+l=4n

2895 I-42m(0p0,p00)0gm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,1/2-u,t; -y,x,-z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; -y,-x,z,-u,-t; y,x,z,1/2+u,1/2+t;

hklmn:h+k+l=2n 0k0m0:m=2n h000n:n=2n kklnn:n+n=2n

2896 I-42₁d(0p0,p00)0gm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,1/2-t,1/2-u; 1/4+y,1/4-x,3/4-z,1/2-u,t; 1/4-y,3/4+x,3/4-z,u,1/2-t; -x,y,-z,1/2+t,-u; 1/2+x,-y,-z,-t,1/2+u; 3/4-y,1/4-x,1/4+z,-u,-t; 3/4+y,3/4+x,1/4+z,1/2+u,1/2+t;

2897 I-42m(p-p0,pp0)0mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; -y,-x,z,t,-u; y,x,z,-t,u;

hklmn:h+k+l=2n

2898 I-42m(p-p0,pp0)0gg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; y,-x,-z,u,1/2-t; -y,x,-z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; -y,-x,z,1/2+t,-u; y,x,z,-t,1/2+u;

hklmn:h+k+l=2n h00nn:n+n=2n -kklm0:m=2n kkl0n:n=2n

2899 I-42₁d(p-p0,pp0)0mm equivalent group: I-42₁d(p-p0,pp0)0gg

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4+y,1/4-x,3/4-z,u,-t; 1/4-y,3/4+x,3/4-z,-u,t; -x,y,-z,-u,-t; 1/2+x,-y,-z,u,t; 3/4-y,1/4-x,1/4+z,t,-u; 3/4+y,3/4+x,1/4+z,-t,u;

hklmn:h+k+l=2n h00nn:h=2n -kklm0:k+3k+l=4n kkl0n:3k+3k+l=4n

2900 I-42m(p+1/2-p+1/20,p+1/2p+1/21)0mm

(00000;1/201/21/20;01/21/201/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,-x,-z,u,-t; -y,x,-z,-u,t; y,x,-z,-u,-t; -y,-x,-z,u,t; -x,y,z,t,-u; x,-y,z,-t,u;

hklmn:h+l+m=2n hklmn:k+l+n=2n hklmn:h+k+m+n=2n

2901 I-42m(p+1/2-p+1/20,p+1/2p+1/21)0mg

(00000;1/201/21/20;01/21/201/2;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; y,1/2-x,-z,u,1/2-t; -y,1/2+x,-z,-u,1/2+t; y,x,-z,-u,-t; -y,-x,-z,u,t; 1/2-x,y,z,1/2+t,-u; 1/2+x,-y,z,1/2-t,u;

hklmn:h+l+m=2n hklmn:k+l+n=2n hklmn:h+k+m+n=2n 0klm0:m=2n h0l0n:h=2n

2902 P4/mmm(00p,00q)0000

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,z,t,u; y,x,z,t,u;

2903 P4/mmm(00p,00q)00.0s.0s. equivalent group: P4/mmm(00p,00q)00.s0.s0. P4/mmm(00p,00q)00.ss.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,-z,-t,1/2-u; x,-y,-z,-t,1/2-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

h0lmn:n=2n 0klmn:n=2n -kklmn:n=2n kklmn:n=2n

2904 P4/mcc(00p,00q)0000 equivalent group: P4/mcc(00p,00q)00.0s.0s. P4/mcc(00p,00q)00.s0.s0. P4/mcc(00p,00q)00.ss.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,1/2-z,-t,-u; x,-y,1/2-z,-t,-u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

h0lmn:l=2n 0klmn:l=2n -kklmn:l=2n kklmn:l=2n

2905 P4/mmm(00p,00q).0s.00.0s. equivalent group: P4/mmm(00p,00q).s0.00.s0. P4/mmm(00p,00q).ss.00.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n -kklmn:n=2n kklmn:n=2n

2906 P4/mmm(00p,00q).0s.0.0s.0 equivalent group: P4/mmm(00p,00q).s0.0.s0.0 P4/mmm(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,-t,1/2-u; x,-y,-z,-t,1/2-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,z,t,u; y,x,z,t,u;

00lmn:n=2n 00lmn:n=2n h0lmn:n=2n 0klmn:n=2n

2907 P4/mmm(00p,00q).0s.0.s0.ss. equivalent group: P4/mmm(00p,00q).0s.0.ss.s0. P4/mmm(00p,00q).s0.0.0s.ss. P4/mmm(00p,00q).s0.0.ss.0s. P4/mmm(00p,00q).ss.0.0s.s0. P4/mmm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,1/2-t,-u; x,-y,-z,1/2-t,-u; y,x,-z,1/2-t,1/2-u; -y,-x,-z,1/2-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; x,-y,z,1/2+t,u; -x,y,z,1/2+t,u; -y,-x,z,1/2+t,1/2+u; y,x,z,1/2+t,1/2+u;

00lmn:n=2n 00lmn:n=2n h0lmn:m=2n 0klmn:m=2n -kklmn:m+n=2n kklmn:m+n=2n

2908 P4/mcc(00p,00q).0s.00.0s. equivalent group: P4/mcc(00p,00q).0s.0.0s.0 P4/mcc(00p,00q).0s.0.s0.ss. P4/mcc(00p,00q).0s.0.ss.s0. P4/mcc(00p,00q).s0.00.s0. P4/mcc(00p,00q).s0.0.0s.ss. P4/mcc(00p,00q).s0.0.s0.0 P4/mcc(00p,00q).s0.0.ss.0s. P4/mcc(00p,00q).ss.00.ss. P4/mcc(00p,00q).ss.0.0s.s0. P4/mcc(00p,00q).ss.0.s0.0s. P4/mcc(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,1/2-z,-t,-u; x,-y,1/2-z,-t,-u; y,x,1/2-z,-t,1/2-u; -y,-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l+n=2n kklmn:l+n=2n

2909 P4₂/mmc(00p,00q)0000 equivalent group: P4₂/mmc(00p,00q).0s.00.0s. P4₂/mmc(00p,00q).s0.00.s0. P4₂/mmc(00p,00q).ss.00.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; x,-y,z,t,u; -x,y,z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n -kklmn:l=2n kklmn:l=2n

2910 P4₂/mmc(00p,00q)00.0s.0s. equivalent group: P4₂/mmc(00p,00q)00.s0.s0. P4₂/mmc(00p,00q)00.ss.ss. P4₂/mmc(00p,00q).0s.0.0s.0 P4₂/mmc(00p,00q).0s.0.s0.ss. P4₂/mmc(00p,00q).0s.0.ss.s0. P4₂/mmc(00p,00q).s0.0.0s.ss. P4₂/mmc(00p,00q).s0.0.s0.0 P4₂/mmc(00p,00q).s0.0.ss.0s. P4₂/mmc(00p,00q).ss.0.0s.s0. P4₂/mmc(00p,00q).ss.0.s0.0s. P4₂/mmc(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,y,-z,-t,1/2-u; x,-y,-z,-t,1/2-u; y,x,1/2-z,-t,1/2-u; -y,-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; x,-y,z,t,1/2+u; -x,y,z,t,1/2+u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n h0lmn:n=2n 0klmn:n=2n -kklmn:l+n=2n kklmn:l+n=2n

2911 P4₂/mcm(00p,00q)0000 equivalent group: P4₂/mcm(00p,00q).0s.0.0s.0 P4₂/mcm(00p,00q).s0.0.s0.0 P4₂/mcm(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,y,1/2-z,-t,-u; x,-y,1/2-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,z,t,u; y,x,z,t,u;

00lmn:l=2n 00lmn:l=2n h0lmn:l=2n 0klmn:l=2n

2912 P4₂/mcm(00p,00q)00.0s.0s. equivalent group: P4₂/mcm(00p,00q)00.s0.s0. P4₂/mcm(00p,00q)00.ss.ss. P4₂/mcm(00p,00q).0s.00.0s. P4₂/mcm(00p,00q).0s.0.s0.ss. P4₂/mcm(00p,00q).0s.0.ss.s0. P4₂/mcm(00p,00q).s0.00.s0. P4₂/mcm(00p,00q).s0.0.0s.ss. P4₂/mcm(00p,00q).s0.0.ss.0s. P4₂/mcm(00p,00q).ss.00.ss. P4₂/mcm(00p,00q).ss.0.0s.s0. P4₂/mcm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; -x,y,1/2-z,-t,1/2-u; x,-y,1/2-z,-t,1/2-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:n=2n kklmn:n=2n

2913 P4/nbm(00p,00q)0000

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; 1/2-x,y,-z,-t,-u; x,1/2-y,-z,-t,-u; y,x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; -y,-x,z,t,u; 1/2+y,1/2+x,z,t,u;

hk000:h+k=2n h0lmn:h=2n 0klmn:k=2n kklmn:k+k=2n

2914 P4/nbm(00p,00q)00.0s.0s. equivalent group: P4/nbm(00p,00q)00.s0.s0. P4/nbm(00p,00q)00.ss.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; 1/2-x,y,-z,-t,1/2-u; x,1/2-y,-z,-t,1/2-u; y,x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

hk000:h+k=2n h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:n=2n kklmn:k+k+n=2n

2915 P4/nnc(00p,00q)0000 equivalent group: P4/nnc(00p,00q)00.0s.0s. P4/nnc(00p,00q)00.s0.s0. P4/nnc(00p,00q)00.ss.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; 1/2-x,y,1/2-z,-t,-u; x,1/2-y,1/2-z,-t,-u; y,x,1/2-z,-t,-u; 1/2-y,1/2-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,1/2+z,t,u; 1/2+y,1/2+x,1/2+z,t,u;

hk000:h+k=2n h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:l=2n kklmn:k+k+l=2n

2916 P4/nbm(00p,00q).0s.00.0s. equivalent group: P4/nbm(00p,00q).s0.00.s0. P4/nbm(00p,00q).ss.00.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2-x,y,-z,-t,-u; x,1/2-y,-z,-t,-u; y,x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; -y,-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n hk000:h+k=2n h0lmn:h=2n 0klmn:k=2n -kklmn:n=2n kklmn:k+k+n=2n

2917 P4/nbm(00p,00q).0s.0.0s.0 equivalent group: P4/nbm(00p,00q).s0.0.s0.0 P4/nbm(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2-x,y,-z,-t,1/2-u; x,1/2-y,-z,-t,1/2-u; y,x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,z,t,u; 1/2+y,1/2+x,z,t,u;

00lmn:n=2n 00lmn:n=2n hk000:h+k=2n h0lmn:h+n=2n 0klmn:k+n=2n kklmn:k+k=2n

2918 P4/nbm(00p,00q).0s.0.s0.ss. equivalent group: P4/nbm(00p,00q).0s.0.ss.s0. P4/nbm(00p,00q).s0.0.0s.ss. P4/nbm(00p,00q).s0.0.ss.0s. P4/nbm(00p,00q).ss.0.0s.s0. P4/nbm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2-x,y,-z,1/2-t,-u; x,1/2-y,-z,1/2-t,-u; y,x,-z,1/2-t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; 1/2+x,-y,z,1/2+t,u; -x,1/2+y,z,1/2+t,u; -y,-x,z,1/2+t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2+u;

00lmn:n=2n 00lmn:n=2n hk000:h+k=2n h0lmn:h+m=2n 0klmn:k+m=2n -kklmn:m+n=2n kklmn:k+k+m+n=2n

2919 P4/nnc(00p,00q).0s.00.0s. equivalent group: P4/nnc(00p,00q).0s.0.0s.0 P4/nnc(00p,00q).0s.0.s0.ss. P4/nnc(00p,00q).0s.0.ss.s0. P4/nnc(00p,00q).s0.00.s0. P4/nnc(00p,00q).s0.0.0s.ss. P4/nnc(00p,00q).s0.0.s0.0 P4/nnc(00p,00q).s0.0.ss.0s. P4/nnc(00p,00q).ss.00.ss. P4/nnc(00p,00q).ss.0.0s.s0. P4/nnc(00p,00q).ss.0.s0.0s. P4/nnc(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; 1/2-x,y,1/2-z,-t,-u; x,1/2-y,1/2-z,-t,-u; y,x,1/2-z,-t,1/2-u; 1/2-y,1/2-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,1/2+z,t,1/2+u; 1/2+y,1/2+x,1/2+z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n hk000:h+k=2n h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:l+n=2n kklmn:k+k+l+n=2n

2920 P4₂/nbc(00p,00q)0000 equivalent group: P4₂/nbc(00p,00q).0s.00.0s. P4₂/nbc(00p,00q).s0.00.s0. P4₂/nbc(00p,00q).ss.00.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2-x,y,-z,-t,-u; x,1/2-y,-z,-t,-u; y,x,1/2-z,-t,-u; 1/2-y,1/2-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; 1/2+x,-y,z,t,u; -x,1/2+y,z,t,u; -y,-x,1/2+z,t,u; 1/2+y,1/2+x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n hk000:h+k=2n h0lmn:h=2n 0klmn:k=2n -kklmn:l=2n kklmn:k+k+l=2n

2921 P4₂/nbc(00p,00q)00.0s.0s. equivalent group: P4₂/nbc(00p,00q)00.s0.s0. P4₂/nbc(00p,00q)00.ss.ss. P4₂/nbc(00p,00q).0s.0.0s.0 P4₂/nbc(00p,00q).0s.0.s0.ss. P4₂/nbc(00p,00q).0s.0.ss.s0. P4₂/nbc(00p,00q).s0.0.0s.ss. P4₂/nbc(00p,00q).s0.0.s0.0 P4₂/nbc(00p,00q).s0.0.ss.0s. P4₂/nbc(00p,00q).ss.0.0s.s0. P4₂/nbc(00p,00q).ss.0.s0.0s. P4₂/nbc(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2-x,y,-z,-t,1/2-u; x,1/2-y,-z,-t,1/2-u; y,x,1/2-z,-t,1/2-u; 1/2-y,1/2-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; 1/2+x,-y,z,t,1/2+u; -x,1/2+y,z,t,1/2+u; -y,-x,1/2+z,t,1/2+u; 1/2+y,1/2+x,1/2+z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n hk000:h+k=2n h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:l+n=2n kklmn:k+k+l+n=2n

2922 P4₂/nnm(00p,00q)0000 equivalent group: P4₂/nnm(00p,00q).0s.0.0s.0 P4₂/nnm(00p,00q).s0.0.s0.0 P4₂/nnm(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2-x,y,1/2-z,-t,-u; x,1/2-y,1/2-z,-t,-u; y,x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; 1/2+x,-y,1/2+z,t,u; -x,1/2+y,1/2+z,t,u; -y,-x,z,t,u; 1/2+y,1/2+x,z,t,u;

00lmn:l=2n 00lmn:l=2n hk000:h+k=2n h0lmn:h+l=2n 0klmn:k+l=2n kklmn:k+k=2n

2923 P4₂/nnm(00p,00q)00.0s.0s. equivalent group: P4₂/nnm(00p,00q)00.s0.s0. P4₂/nnm(00p,00q)00.ss.ss. P4₂/nnm(00p,00q).0s.00.0s. P4₂/nnm(00p,00q).0s.0.s0.ss. P4₂/nnm(00p,00q).0s.0.ss.s0. P4₂/nnm(00p,00q).s0.00.s0. P4₂/nnm(00p,00q).s0.0.0s.ss. P4₂/nnm(00p,00q).s0.0.ss.0s. P4₂/nnm(00p,00q).ss.00.ss. P4₂/nnm(00p,00q).ss.0.0s.s0. P4₂/nnm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; 1/2-x,y,1/2-z,-t,1/2-u; x,1/2-y,1/2-z,-t,1/2-u; y,x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; 1/2+x,-y,1/2+z,t,1/2+u; -x,1/2+y,1/2+z,t,1/2+u; -y,-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n hk000:h+k=2n h0lmn:h+l+n=2n 0klmn:k+l+n=2n -kklmn:n=2n kklmn:k+k+n=2n

2924 P4/nmm(00p,00q)0000

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2+y,1/2+x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; x,1/2-y,z,t,u; 1/2-x,y,z,t,u; 1/2-y,1/2-x,z,t,u; y,x,z,t,u;

0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n

2925 P4/nmm(00p,00q)00.0s.0s. equivalent group: P4/nmm(00p,00q)00.s0.s0. P4/nmm(00p,00q)00.ss.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; -x,1/2+y,-z,-t,1/2-u; 1/2+x,-y,-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; x,1/2-y,z,t,1/2+u; 1/2-x,y,z,t,1/2+u; 1/2-y,1/2-x,z,t,1/2+u; y,x,z,t,1/2+u;

0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:n=2n 0klmn:n=2n -kklmn:n=2n kklmn:n=2n

2926 P4/ncc(00p,00q)0000 equivalent group: P4/ncc(00p,00q)00.0s.0s. P4/ncc(00p,00q)00.s0.s0. P4/ncc(00p,00q)00.ss.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,u; y,1/2-x,z,t,u; -x,1/2+y,1/2-z,-t,-u; 1/2+x,-y,1/2-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,-u; -y,1/2+x,-z,-t,-u; x,1/2-y,1/2+z,t,u; 1/2-x,y,1/2+z,t,u; 1/2-y,1/2-x,1/2+z,t,u; y,x,1/2+z,t,u;

0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l=2n kklmn:l=2n

2927 P4/nmm(00p,00q).0s.00.0s. equivalent group: P4/nmm(00p,00q).s0.00.s0. P4/nmm(00p,00q).ss.00.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2+y,1/2+x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; x,1/2-y,z,t,u; 1/2-x,y,z,t,u; 1/2-y,1/2-x,z,t,1/2+u; y,x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n -kklmn:n=2n kklmn:n=2n

2928 P4/nmm(00p,00q).0s.0.0s.0 equivalent group: P4/nmm(00p,00q).s0.0.s0.0 P4/nmm(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; -x,1/2+y,-z,-t,1/2-u; 1/2+x,-y,-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; x,1/2-y,z,t,1/2+u; 1/2-x,y,z,t,1/2+u; 1/2-y,1/2-x,z,t,u; y,x,z,t,u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:n=2n 0klmn:n=2n

2929 P4/nmm(00p,00q).0s.0.s0.ss. equivalent group: P4/nmm(00p,00q).0s.0.ss.s0. P4/nmm(00p,00q).s0.0.0s.ss. P4/nmm(00p,00q).s0.0.ss.0s. P4/nmm(00p,00q).ss.0.0s.s0. P4/nmm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; -x,1/2+y,-z,1/2-t,-u; 1/2+x,-y,-z,1/2-t,-u; 1/2+y,1/2+x,-z,1/2-t,1/2-u; -y,-x,-z,1/2-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; x,1/2-y,z,1/2+t,u; 1/2-x,y,z,1/2+t,u; 1/2-y,1/2-x,z,1/2+t,1/2+u; y,x,z,1/2+t,1/2+u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:m=2n 0klmn:m=2n -kklmn:m+n=2n kklmn:m+n=2n

2930 P4/ncc(00p,00q).0s.00.0s. equivalent group: P4/ncc(00p,00q).0s.0.0s.0 P4/ncc(00p,00q).0s.0.s0.ss. P4/ncc(00p,00q).0s.0.ss.s0. P4/ncc(00p,00q).s0.00.s0. P4/ncc(00p,00q).s0.0.0s.ss. P4/ncc(00p,00q).s0.0.s0.0 P4/ncc(00p,00q).s0.0.ss.0s. P4/ncc(00p,00q).ss.00.ss. P4/ncc(00p,00q).ss.0.0s.s0. P4/ncc(00p,00q).ss.0.s0.0s. P4/ncc(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,z,t,1/2+u; y,1/2-x,z,t,1/2+u; -x,1/2+y,1/2-z,-t,-u; 1/2+x,-y,1/2-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,1/2-u; -y,-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,-z,-t,1/2-u; -y,1/2+x,-z,-t,1/2-u; x,1/2-y,1/2+z,t,u; 1/2-x,y,1/2+z,t,u; 1/2-y,1/2-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l+n=2n kklmn:l+n=2n

2931 P4₂/nmc(00p,00q)0000 equivalent group: P4₂/nmc(00p,00q).0s.00.0s. P4₂/nmc(00p,00q).s0.00.s0. P4₂/nmc(00p,00q).ss.00.ss.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; -x,1/2+y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; x,1/2-y,z,t,u; 1/2-x,y,z,t,u; 1/2-y,1/2-x,1/2+z,t,u; y,x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n -kklmn:l=2n kklmn:l=2n

2932 P4₂/nmc(00p,00q)00.0s.0s. equivalent group: P4₂/nmc(00p,00q)00.s0.s0. P4₂/nmc(00p,00q)00.ss.ss. P4₂/nmc(00p,00q).0s.0.0s.0 P4₂/nmc(00p,00q).0s.0.s0.ss. P4₂/nmc(00p,00q).0s.0.ss.s0. P4₂/nmc(00p,00q).s0.0.0s.ss. P4₂/nmc(00p,00q).s0.0.s0.0 P4₂/nmc(00p,00q).s0.0.ss.0s. P4₂/nmc(00p,00q).ss.0.0s.s0. P4₂/nmc(00p,00q).ss.0.s0.0s. P4₂/nmc(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; -x,1/2+y,-z,-t,1/2-u; 1/2+x,-y,-z,-t,1/2-u; 1/2+y,1/2+x,1/2-z,-t,1/2-u; -y,-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; x,1/2-y,z,t,1/2+u; 1/2-x,y,z,t,1/2+u; 1/2-y,1/2-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:n=2n 0klmn:n=2n -kklmn:l+n=2n kklmn:l+n=2n

2933 P4₂/ncm(00p,00q)0000 equivalent group: P4₂/ncm(00p,00q).0s.0.0s.0 P4₂/ncm(00p,00q).s0.0.s0.0 P4₂/ncm(00p,00q).ss.0.ss.0

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; -x,1/2+y,1/2-z,-t,-u; 1/2+x,-y,1/2-z,-t,-u; 1/2+y,1/2+x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; x,1/2-y,1/2+z,t,u; 1/2-x,y,1/2+z,t,u; 1/2-y,1/2-x,z,t,u; y,x,z,t,u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:l=2n 0klmn:l=2n

2934 P4₂/ncm(00p,00q)00.0s.0s. equivalent group: P4₂/ncm(00p,00q)00.s0.s0. P4₂/ncm(00p,00q)00.ss.ss. P4₂/ncm(00p,00q).0s.00.0s. P4₂/ncm(00p,00q).0s.0.s0.ss. P4₂/ncm(00p,00q).0s.0.ss.s0. P4₂/ncm(00p,00q).s0.00.s0. P4₂/ncm(00p,00q).s0.0.0s.ss. P4₂/ncm(00p,00q).s0.0.ss.0s. P4₂/ncm(00p,00q).ss.00.ss. P4₂/ncm(00p,00q).ss.0.0s.s0. P4₂/ncm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; 1/2-x,1/2-y,z,t,u; 1/2-y,x,1/2+z,t,u; y,1/2-x,1/2+z,t,u; -x,1/2+y,1/2-z,-t,1/2-u; 1/2+x,-y,1/2-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,-t,-u; 1/2+y,-x,1/2-z,-t,-u; -y,1/2+x,1/2-z,-t,-u; x,1/2-y,1/2+z,t,1/2+u; 1/2-x,y,1/2+z,t,1/2+u; 1/2-y,1/2-x,z,t,1/2+u; y,x,z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n hk000:h+k=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:n=2n kklmn:n=2n

2935 P4/mbm(00p,00q)0000

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; 1/2-x,1/2+y,-z,-t,-u; 1/2+x,1/2-y,-z,-t,-u; 1/2+y,1/2+x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; 1/2+x,1/2-y,z,t,u; 1/2-x,1/2+y,z,t,u; 1/2-y,1/2-x,z,t,u; 1/2+y,1/2+x,z,t,u;

0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h=2n 0klmn:k=2n kklmn:k+k=2n

2936 P4/mbm(00p,00q)00.0s.0s. equivalent group: P4/mbm(00p,00q)00.s0.s0. P4/mbm(00p,00q)00.ss.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; 1/2-x,1/2+y,-z,-t,1/2-u; 1/2+x,1/2-y,-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; 1/2+x,1/2-y,z,t,1/2+u; 1/2-x,1/2+y,z,t,1/2+u; 1/2-y,1/2-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:n=2n kklmn:k+k+n=2n

2937 P4/mnc(00p,00q)0000 equivalent group: P4/mnc(00p,00q)00.0s.0s. P4/mnc(00p,00q)00.s0.s0. P4/mnc(00p,00q)00.ss.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; 1/2-x,1/2+y,1/2-z,-t,-u; 1/2+x,1/2-y,1/2-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,-u; 1/2-y,1/2-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; 1/2+x,1/2-y,1/2+z,t,u; 1/2-x,1/2+y,1/2+z,t,u; 1/2-y,1/2-x,1/2+z,t,u; 1/2+y,1/2+x,1/2+z,t,u;

0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:l=2n kklmn:k+k+l=2n

2938 P4/mbm(00p,00q).0s.00.0s. equivalent group: P4/mbm(00p,00q).s0.00.s0. P4/mbm(00p,00q).ss.00.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; 1/2-x,1/2+y,-z,-t,-u; 1/2+x,1/2-y,-z,-t,-u; 1/2+y,1/2+x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; 1/2+x,1/2-y,z,t,u; 1/2-x,1/2+y,z,t,u; 1/2-y,1/2-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h=2n 0klmn:k=2n -kklmn:n=2n kklmn:k+k+n=2n

2939 P4/mbm(00p,00q).0s.0.0s.0 equivalent group: P4/mbm(00p,00q).s0.0.s0.0 P4/mbm(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; 1/2-x,1/2+y,-z,-t,1/2-u; 1/2+x,1/2-y,-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; 1/2+x,1/2-y,z,t,1/2+u; 1/2-x,1/2+y,z,t,1/2+u; 1/2-y,1/2-x,z,t,u; 1/2+y,1/2+x,z,t,u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+n=2n 0klmn:k+n=2n kklmn:k+k=2n

2940 P4/mbm(00p,00q).0s.0.s0.ss. equivalent group: P4/mbm(00p,00q).0s.0.ss.s0. P4/mbm(00p,00q).s0.0.0s.ss. P4/mbm(00p,00q).s0.0.ss.0s. P4/mbm(00p,00q).ss.0.0s.s0. P4/mbm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; 1/2-x,1/2+y,-z,1/2-t,-u; 1/2+x,1/2-y,-z,1/2-t,-u; 1/2+y,1/2+x,-z,1/2-t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; 1/2+x,1/2-y,z,1/2+t,u; 1/2-x,1/2+y,z,1/2+t,u; 1/2-y,1/2-x,z,1/2+t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2+u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+m=2n 0klmn:k+m=2n -kklmn:m+n=2n kklmn:k+k+m+n=2n

2941 P4/mnc(00p,00q).0s.00.0s. equivalent group: P4/mnc(00p,00q).0s.0.0s.0 P4/mnc(00p,00q).0s.0.s0.ss. P4/mnc(00p,00q).0s.0.ss.s0. P4/mnc(00p,00q).s0.00.s0. P4/mnc(00p,00q).s0.0.0s.ss. P4/mnc(00p,00q).s0.0.s0.0 P4/mnc(00p,00q).s0.0.ss.0s. P4/mnc(00p,00q).ss.00.ss. P4/mnc(00p,00q).ss.0.0s.s0. P4/mnc(00p,00q).ss.0.s0.0s. P4/mnc(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; 1/2-x,1/2+y,1/2-z,-t,-u; 1/2+x,1/2-y,1/2-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,1/2-u; 1/2-y,1/2-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; 1/2+x,1/2-y,1/2+z,t,u; 1/2-x,1/2+y,1/2+z,t,u; 1/2-y,1/2-x,1/2+z,t,1/2+u; 1/2+y,1/2+x,1/2+z,t,1/2+u;

00lmn:n=2n 00lmn:n=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+l=2n 0klmn:k+l=2n -kklmn:l+n=2n kklmn:k+k+l+n=2n

2942 P4₂/mbc(00p,00q)0000 equivalent group: P4₂/mbc(00p,00q).0s.00.0s. P4₂/mbc(00p,00q).s0.00.s0. P4₂/mbc(00p,00q).ss.00.ss.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; 1/2-x,1/2+y,-z,-t,-u; 1/2+x,1/2-y,-z,-t,-u; 1/2+y,1/2+x,1/2-z,-t,-u; 1/2-y,1/2-x,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; 1/2+x,1/2-y,z,t,u; 1/2-x,1/2+y,z,t,u; 1/2-y,1/2-x,1/2+z,t,u; 1/2+y,1/2+x,1/2+z,t,u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h=2n 0klmn:k=2n -kklmn:l=2n kklmn:k+k+l=2n

2943 P4₂/mbc(00p,00q)00.0s.0s. equivalent group: P4₂/mbc(00p,00q)00.s0.s0. P4₂/mbc(00p,00q)00.ss.ss. P4₂/mbc(00p,00q).0s.0.0s.0 P4₂/mbc(00p,00q).0s.0.s0.ss. P4₂/mbc(00p,00q).0s.0.ss.s0. P4₂/mbc(00p,00q).s0.0.0s.ss. P4₂/mbc(00p,00q).s0.0.s0.0 P4₂/mbc(00p,00q).s0.0.ss.0s. P4₂/mbc(00p,00q).ss.0.0s.s0. P4₂/mbc(00p,00q).ss.0.s0.0s. P4₂/mbc(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; 1/2-x,1/2+y,-z,-t,1/2-u; 1/2+x,1/2-y,-z,-t,1/2-u; 1/2+y,1/2+x,1/2-z,-t,1/2-u; 1/2-y,1/2-x,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; 1/2+x,1/2-y,z,t,1/2+u; 1/2-x,1/2+y,z,t,1/2+u; 1/2-y,1/2-x,1/2+z,t,1/2+u; 1/2+y,1/2+x,1/2+z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+n=2n 0klmn:k+n=2n -kklmn:l+n=2n kklmn:k+k+l+n=2n

2944 P4₂/mnm(00p,00q)0000 equivalent group: P4₂/mnm(00p,00q).0s.0.0s.0 P4₂/mnm(00p,00q).s0.0.s0.0 P4₂/mnm(00p,00q).ss.0.ss.0

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; 1/2-x,1/2+y,1/2-z,-t,-u; 1/2+x,1/2-y,1/2-z,-t,-u; 1/2+y,1/2+x,-z,-t,-u; 1/2-y,1/2-x,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; 1/2+x,1/2-y,1/2+z,t,u; 1/2-x,1/2+y,1/2+z,t,u; 1/2-y,1/2-x,z,t,u; 1/2+y,1/2+x,z,t,u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+l=2n 0klmn:k+l=2n kklmn:k+k=2n

2945 P4₂/mnm(00p,00q)00.0s.0s. equivalent group: P4₂/mnm(00p,00q)00.s0.s0. P4₂/mnm(00p,00q)00.ss.ss. P4₂/mnm(00p,00q).0s.00.0s. P4₂/mnm(00p,00q).0s.0.s0.ss. P4₂/mnm(00p,00q).0s.0.ss.s0. P4₂/mnm(00p,00q).s0.00.s0. P4₂/mnm(00p,00q).s0.0.0s.ss. P4₂/mnm(00p,00q).s0.0.ss.0s. P4₂/mnm(00p,00q).ss.00.ss. P4₂/mnm(00p,00q).ss.0.0s.s0. P4₂/mnm(00p,00q).ss.0.s0.0s.

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; 1/2-x,1/2+y,1/2-z,-t,1/2-u; 1/2+x,1/2-y,1/2-z,-t,1/2-u; 1/2+y,1/2+x,-z,-t,1/2-u; 1/2-y,1/2-x,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; 1/2+x,1/2-y,1/2+z,t,1/2+u; 1/2-x,1/2+y,1/2+z,t,1/2+u; 1/2-y,1/2-x,z,t,1/2+u; 1/2+y,1/2+x,z,t,1/2+u;

00lmn:l=2n 00lmn:l=2n 0k000:k=2n h0000:h=2n hh000:h+h=2n h0lmn:h+l+n=2n 0klmn:k+l+n=2n -kklmn:n=2n kklmn:k+k+n=2n

2946 P4/mmm(1/21/2p,00q)0000

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; x,-y,-z,-t,-u; -x,y,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,z,t,u; y,x,z,t,u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n

2947 P4/mmm(1/21/2p,00q)00.0s.0s. equivalent group: P4/mmm(1/21/2p,00q)00.ss.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; x,-y,-z,-t,1/2-u; -x,y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n -kklmn:n=2n kklmn:n=2n 0klmn:n=2n h0lmn:n=2n

2948 P4/mmm(1/21/2p,00q)00.s0.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; y,x,-z,1/2-t,-u; -y,-x,-z,1/2-t,-u; x,-y,-z,1/2-t,-u; -x,y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,z,1/2+t,u; y,x,z,1/2+t,u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n -kklmn:m=2n kklmn:m=2n 0klmn:m=2n h0lmn:m=2n

2949 P4/mcc(1/21/2p,00q)0000 equivalent group: P4/mcc(1/21/2p,00q)00.0s.0s. P4/mcc(1/21/2p,00q)00.s0.s0. P4/mcc(1/21/2p,00q)00.ss.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; x,-y,1/2-z,-t,-u; -x,y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,-u; -y,x,-z,-t,-u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,1/2+z,t,u; x,-y,1/2+z,t,u;

hklmn:h+k+m=2n -kklmn:l=2n kklmn:l=2n 0klmn:l=2n h0lmn:l=2n

2950 P4/mmm(1/21/2p,00q).0s.00.0s. equivalent group: P4/mmm(1/21/2p,00q).0s.0.s0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; x,-y,-z,-t,1/2-u; -x,y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; -y,-x,z,t,u; y,x,z,t,u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n 0klmn:n=2n h0lmn:n=2n

2951 P4/mmm(1/21/2p,00q).0s.0.0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; x,-y,-z,-t,-u; -x,y,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n -kklmn:n=2n kklmn:n=2n

2952 P4/mmm(1/21/2p,00q).0s.0.ss.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; y,x,-z,1/2-t,1/2-u; -y,-x,-z,1/2-t,1/2-u; x,-y,-z,1/2-t,-u; -x,y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; -y,-x,z,1/2+t,1/2+u; y,x,z,1/2+t,1/2+u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n -kklmn:m+n=2n kklmn:m+n=2n 0klmn:m=2n h0lmn:m=2n

2953 P4/mcc(1/21/2p,00q).0s.00.0s. equivalent group: P4/mcc(1/21/2p,00q).0s.0.0s.0 P4/mcc(1/21/2p,00q).0s.0.s0.ss. P4/mcc(1/21/2p,00q).0s.0.ss.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; x,-y,1/2-z,-t,1/2-u; -x,y,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,-z,-t,1/2-u; -y,x,-z,-t,1/2-u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,1/2+z,t,1/2+u; x,-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:n=2n 00lmn:n=2n -kklmn:l=2n kklmn:l=2n 0klmn:l+n=2n h0lmn:l+n=2n

2954 P4₂/mmc(1/21/2p,00q)0000 equivalent group: P4₂/mmc(1/21/2p,00q)00.s0.s0. P4₂/mmc(1/21/2p,00q).0s.00.0s. P4₂/mmc(1/21/2p,00q).0s.0.s0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; x,-y,1/2-z,-t,-u; -x,y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; -y,-x,z,t,u; y,x,z,t,u; -x,y,1/2+z,t,u; x,-y,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n 0klmn:l=2n h0lmn:l=2n

2955 P4₂/mmc(1/21/2p,00q)00.0s.0s. equivalent group: P4₂/mmc(1/21/2p,00q)00.ss.ss. P4₂/mmc(1/21/2p,00q).0s.0.0s.0 P4₂/mmc(1/21/2p,00q).0s.0.ss.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; x,-y,1/2-z,-t,1/2-u; -x,y,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; -y,-x,z,t,1/2+u; y,x,z,t,1/2+u; -x,y,1/2+z,t,1/2+u; x,-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n -kklmn:n=2n kklmn:n=2n 0klmn:l+n=2n h0lmn:l+n=2n

2956 P4₂/mcm(1/21/2p,00q)0000 equivalent group: P4₂/mcm(1/21/2p,00q).0s.0.0s.0

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; y,x,1/2-z,-t,-u; -y,-x,1/2-z,-t,-u; x,-y,-z,-t,-u; -x,y,-z,-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u; -x,y,z,t,u; x,-y,z,t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n -kklmn:l=2n kklmn:l=2n

2957 P4₂/mcm(1/21/2p,00q)00.0s.0s. equivalent group: P4₂/mcm(1/21/2p,00q)00.ss.ss. P4₂/mcm(1/21/2p,00q).0s.00.0s. P4₂/mcm(1/21/2p,00q).0s.0.s0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; y,x,1/2-z,-t,1/2-u; -y,-x,1/2-z,-t,1/2-u; x,-y,-z,-t,1/2-u; -x,y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u; -x,y,z,t,1/2+u; x,-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n -kklmn:l+n=2n kklmn:l+n=2n 0klmn:n=2n h0lmn:n=2n

2958 P4₂/mcm(1/21/2p,00q)00.s0.s0. equivalent group: P4₂/mcm(1/21/2p,00q).0s.0.ss.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,-y,z,t,u; -y,x,1/2+z,t,u; y,-x,1/2+z,t,u; y,x,1/2-z,1/2-t,-u; -y,-x,1/2-z,1/2-t,-u; x,-y,-z,1/2-t,-u; -x,y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,y,-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; -y,-x,1/2+z,1/2+t,u; y,x,1/2+z,1/2+t,u; -x,y,z,1/2+t,u; x,-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:l=2n 00lmn:l=2n -kklmn:l+m=2n kklmn:l+m=2n 0klmn:m=2n h0lmn:m=2n

2959 P4/nbm(1/21/2p,00q).q0.0.q0.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 3/4+y,1/4+x,-z,1/4-t,-u; 1/4-y,1/4-x,-z,1/4-t,-u; x,-y,-z,-t,-u; -x,1/2+y,-z,-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,-u; 3/4-y,3/4+x,-z,3/4-t,-u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; -x,y,z,t,u; x,1/2-y,z,t,u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+3m=4n kklmn:k+k+3m=4n

2960 P4/nbm(1/21/2p,00q).q0.0.qs.0s. equivalent group: P4/nbm(1/21/2p,00q).q0.0.qs.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 3/4+y,1/4+x,-z,1/4-t,1/2-u; 1/4-y,1/4-x,-z,1/4-t,1/2-u; x,-y,-z,-t,1/2-u; -x,1/2+y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,-u; 3/4-y,3/4+x,-z,3/4-t,-u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; -x,y,z,t,1/2+u; x,1/2-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+3m+2n=4n kklmn:k+k+3m+2n=4n 0klmn:n=2n h0lmn:n=2n

2961 P4/nbm(1/21/2p,00q).q0.0.q0.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 3/4+y,1/4+x,-z,3/4-t,-u; 1/4-y,1/4-x,-z,3/4-t,-u; x,-y,-z,1/2-t,-u; -x,1/2+y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,-u; 3/4-y,3/4+x,-z,3/4-t,-u; 1/4-y,3/4-x,z,1/4+t,u; 3/4+y,3/4+x,z,1/4+t,u; -x,y,z,1/2+t,u; x,1/2-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+m=4n kklmn:k+k+m=4n 0klmn:m=2n h0lmn:m=2n

2962 P4/nnc(1/21/2p,00q).q0.0.q0.0 equivalent group: P4/nnc(1/21/2p,00q).q0.0.qs.0s. P4/nnc(1/21/2p,00q).q0.0.q0.s0. P4/nnc(1/21/2p,00q).q0.0.qs.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,u; 1/4+y,1/4-x,z,1/4+t,u; 3/4+y,1/4+x,1/2-z,1/4-t,-u; 1/4-y,1/4-x,1/2-z,1/4-t,-u; x,-y,1/2-z,-t,-u; -x,1/2+y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,-u; 3/4-y,3/4+x,-z,3/4-t,-u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,1/2+z,t,u; x,1/2-y,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:m=4n 00lmn:m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+2l+3m=4n kklmn:k+k+2l+3m=4n 0klmn:l=2n h0lmn:l=2n

2963 P4/nbm(1/21/2p,00q).qs.0.q0.0s. equivalent group: P4/nbm(1/21/2p,00q).qs.0.q0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 3/4+y,1/4+x,-z,1/4-t,-u; 1/4-y,1/4-x,-z,1/4-t,-u; x,-y,-z,-t,1/2-u; -x,1/2+y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,1/2-u; 3/4-y,3/4+x,-z,3/4-t,1/2-u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; -x,y,z,t,1/2+u; x,1/2-y,z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+3m=4n kklmn:k+k+3m=4n 0klmn:n=2n h0lmn:n=2n

2964 P4/nbm(1/21/2p,00q).qs.0.qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 3/4+y,1/4+x,-z,1/4-t,1/2-u; 1/4-y,1/4-x,-z,1/4-t,1/2-u; x,-y,-z,-t,-u; -x,1/2+y,-z,-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,1/2-u; 3/4-y,3/4+x,-z,3/4-t,1/2-u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; -x,y,z,t,u; x,1/2-y,z,t,u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+3m+2n=4n kklmn:k+k+3m+2n=4n

2965 P4/nbm(1/21/2p,00q).qs.0.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 3/4+y,1/4+x,-z,3/4-t,1/2-u; 1/4-y,1/4-x,-z,3/4-t,1/2-u; x,-y,-z,1/2-t,-u; -x,1/2+y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,1/2-u; 3/4-y,3/4+x,-z,3/4-t,1/2-u; 1/4-y,3/4-x,z,1/4+t,1/2+u; 3/4+y,3/4+x,z,1/4+t,1/2+u; -x,y,z,1/2+t,u; x,1/2-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+m+2n=4n kklmn:k+k+m+2n=4n 0klmn:m=2n h0lmn:m=2n

2966 P4/nnc(1/21/2p,00q).qs.0.q0.0s. equivalent group: P4/nnc(1/21/2p,00q).qs.0.qs.0 P4/nnc(1/21/2p,00q).qs.0.q0.ss. P4/nnc(1/21/2p,00q).qs.0.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,z,1/4+t,1/2+u; 1/4+y,1/4-x,z,1/4+t,1/2+u; 3/4+y,1/4+x,1/2-z,1/4-t,-u; 1/4-y,1/4-x,1/2-z,1/4-t,-u; x,-y,1/2-z,-t,1/2-u; -x,1/2+y,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,-z,3/4-t,1/2-u; 3/4-y,3/4+x,-z,3/4-t,1/2-u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,1/2+z,t,1/2+u; x,1/2-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:m+2n=4n 00lmn:m+2n=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+2l+3m=4n kklmn:k+k+2l+3m=4n 0klmn:l+n=2n h0lmn:l+n=2n

2967 P4₂/nbc(1/21/2p,00q).q0.0.q0.0 equivalent group: P4₂/nbc(1/21/2p,00q).q0.0.q0.s0. P4₂/nbc(1/21/2p,00q).qs.0.q0.0s. P4₂/nbc(1/21/2p,00q).qs.0.q0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 3/4+y,1/4+x,-z,1/4-t,-u; 1/4-y,1/4-x,-z,1/4-t,-u; x,-y,1/2-z,-t,-u; -x,1/2+y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,1/2-z,3/4-t,-u; 3/4-y,3/4+x,1/2-z,3/4-t,-u; 1/4-y,3/4-x,z,3/4+t,u; 3/4+y,3/4+x,z,3/4+t,u; -x,y,1/2+z,t,u; x,1/2-y,1/2+z,t,u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+3m=4n kklmn:k+k+3m=4n 0klmn:l=2n h0lmn:l=2n

2968 P4₂/nbc(1/21/2p,00q).q0.0.qs.0s. equivalent group: P4₂/nbc(1/21/2p,00q).q0.0.qs.ss. P4₂/nbc(1/21/2p,00q).qs.0.qs.0 P4₂/nbc(1/21/2p,00q).qs.0.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 3/4+y,1/4+x,-z,1/4-t,1/2-u; 1/4-y,1/4-x,-z,1/4-t,1/2-u; x,-y,1/2-z,-t,1/2-u; -x,1/2+y,1/2-z,-t,1/2-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,1/2-z,3/4-t,-u; 3/4-y,3/4+x,1/2-z,3/4-t,-u; 1/4-y,3/4-x,z,3/4+t,1/2+u; 3/4+y,3/4+x,z,3/4+t,1/2+u; -x,y,1/2+z,t,1/2+u; x,1/2-y,1/2+z,t,1/2+u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+3m+2n=4n kklmn:k+k+3m+2n=4n 0klmn:l+n=2n h0lmn:l+n=2n

2969 P4₂/nnm(1/21/2p,00q).q0.0.q0.0 equivalent group: P4₂/nnm(1/21/2p,00q).qs.0.qs.0

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 3/4+y,1/4+x,1/2-z,1/4-t,-u; 1/4-y,1/4-x,1/2-z,1/4-t,-u; x,-y,-z,-t,-u; -x,1/2+y,-z,-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,1/2-z,3/4-t,-u; 3/4-y,3/4+x,1/2-z,3/4-t,-u; 1/4-y,3/4-x,1/2+z,3/4+t,u; 3/4+y,3/4+x,1/2+z,3/4+t,u; -x,y,z,t,u; x,1/2-y,z,t,u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+2l+3m=4n kklmn:k+k+2l+3m=4n

2970 P4₂/nnm(1/21/2p,00q).q0.0.qs.0s. equivalent group: P4₂/nnm(1/21/2p,00q).q0.0.qs.ss. P4₂/nnm(1/21/2p,00q).qs.0.q0.0s. P4₂/nnm(1/21/2p,00q).qs.0.q0.ss.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 3/4+y,1/4+x,1/2-z,1/4-t,1/2-u; 1/4-y,1/4-x,1/2-z,1/4-t,1/2-u; x,-y,-z,-t,1/2-u; -x,1/2+y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,1/2-z,3/4-t,-u; 3/4-y,3/4+x,1/2-z,3/4-t,-u; 1/4-y,3/4-x,1/2+z,3/4+t,1/2+u; 3/4+y,3/4+x,1/2+z,3/4+t,1/2+u; -x,y,z,t,1/2+u; x,1/2-y,z,t,1/2+u;

2971 P4₂/nnm(1/21/2p,00q).q0.0.q0.s0. equivalent group: P4₂/nnm(1/21/2p,00q).qs.0.qs.s0.

(00000;1/21/201/20)

x,y,z,t,u; -x,1/2-y,z,t,u; 3/4-y,1/4+x,1/2+z,1/4+t,u; 1/4+y,1/4-x,1/2+z,1/4+t,u; 3/4+y,1/4+x,1/2-z,3/4-t,-u; 1/4-y,1/4-x,1/2-z,3/4-t,-u; x,-y,-z,1/2-t,-u; -x,1/2+y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,1/2+y,-z,-t,-u; 1/4+y,3/4-x,1/2-z,3/4-t,-u; 3/4-y,3/4+x,1/2-z,3/4-t,-u; 1/4-y,3/4-x,1/2+z,1/4+t,u; 3/4+y,3/4+x,1/2+z,1/4+t,u; -x,y,z,1/2+t,u; x,1/2-y,z,1/2+t,u;

hklmn:h+k+m=2n 00lmn:2l+m=4n 00lmn:2l+m=4n hh000:h+h=2n 0k000:k=2n hk000:k=2n -kklmn:3k+k+2l+m=4n kklmn:k+k+2l+m=4n 0klmn:m=2n h0lmn:m=2n

2972 P4/mmm(0-p0,p00)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,z,-t,u; -x,y,z,t,-u; -y,-x,z,u,t; y,x,z,-u,-t;

2973 P4/mcc(0-p0,p00)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,1/2-z,t,-u; x,-y,1/2-z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,1/2+z,-t,u; -x,y,1/2+z,t,-u; -y,-x,1/2+z,u,t; y,x,1/2+z,-u,-t;

h0l0n:l=2n 0klm0:l=2n -kklnn:l=2n hhl-nn:l=2n

2974 P4₂/mmc(0-p0,p00)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; x,-y,z,-t,u; -x,y,z,t,-u; -y,-x,1/2+z,u,t; y,x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n -kklnn:l=2n hhl-nn:l=2n

2975 P4₂/mcm(0-p0,p00)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,1/2-z,t,-u; x,-y,1/2-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; x,-y,1/2+z,-t,u; -x,y,1/2+z,t,-u; -y,-x,z,u,t; y,x,z,-u,-t;

00l00:l=2n 00l00:l=2n h0l0n:l=2n 0klm0:l=2n

2976 P4/mmm(0-p0,p00)0.ss.gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; -x,y,-z,t,1/2-u; x,-y,-z,1/2-t,u; y,x,-z,1/2-u,1/2-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2+u,-t; -y,x,-z,-u,1/2+t; x,-y,z,-t,1/2+u; -x,y,z,1/2+t,-u; -y,-x,z,1/2+u,1/2+t; y,x,z,-u,-t;

hk0mn:m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

2977 P4/mcc(0-p0,p00)0.ss.gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; -x,y,1/2-z,t,1/2-u; x,-y,1/2-z,1/2-t,u; y,x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2+u,-t; -y,x,-z,-u,1/2+t; x,-y,1/2+z,-t,1/2+u; -x,y,1/2+z,1/2+t,-u; -y,-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,-u,-t;

hk0mn:m+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

2978 P4₂/mmc(0-p0,p00)0.ss.gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; -x,y,-z,t,1/2-u; x,-y,-z,1/2-t,u; y,x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2+u,-t; -y,x,1/2-z,-u,1/2+t; x,-y,z,-t,1/2+u; -x,y,z,1/2+t,-u; -y,-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n hk0mn:m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

2979 P4₂/mcm(0-p0,p00)0.ss.gg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; -x,y,1/2-z,t,1/2-u; x,-y,1/2-z,1/2-t,u; y,x,-z,1/2-u,1/2-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2+u,-t; -y,x,1/2-z,-u,1/2+t; x,-y,1/2+z,-t,1/2+u; -x,y,1/2+z,1/2+t,-u; -y,-x,z,1/2+u,1/2+t; y,x,z,-u,-t;

00l00:l=2n 00l00:l=2n hk0mn:m+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:n+n=2n

2980 P4/nbm(0-p0,p00)00mm equivalent group: P4/nbm(0-p0,p00)0.ss.gg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; 1/2-x,y,-z,t,-u; x,1/2-y,-z,-t,u; y,x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,u,-t; -y,1/2+x,-z,-u,t; 1/2+x,-y,z,-t,u; -x,1/2+y,z,t,-u; -y,-x,z,u,t; 1/2+y,1/2+x,z,-u,-t;

hk0mn:h+k=2n h0l0n:h=2n 0klm0:k=2n hhl-nn:h+h=2n

2981 P4/nnc(0-p0,p00)00mm equivalent group: P4/nnc(0-p0,p00)0.ss.gg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; 1/2-x,y,1/2-z,t,-u; x,1/2-y,1/2-z,-t,u; y,x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,u,-t; -y,1/2+x,-z,-u,t; 1/2+x,-y,1/2+z,-t,u; -x,1/2+y,1/2+z,t,-u; -y,-x,1/2+z,u,t; 1/2+y,1/2+x,1/2+z,-u,-t;

hk0mn:h+k=2n h0l0n:h+l=2n 0klm0:k+l=2n -kklnn:l=2n hhl-nn:h+h+l=2n

2982 P4₂/nbc(0-p0,p00)00mm equivalent group: P4₂/nbc(0-p0,p00)0.ss.gg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; 1/2-x,y,-z,t,-u; x,1/2-y,-z,-t,u; y,x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,u,-t; -y,1/2+x,1/2-z,-u,t; 1/2+x,-y,z,-t,u; -x,1/2+y,z,t,-u; -y,-x,1/2+z,u,t; 1/2+y,1/2+x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n hk0mn:h+k=2n h0l0n:h=2n 0klm0:k=2n -kklnn:l=2n hhl-nn:h+h+l=2n

2983 P4₂/nnm(0-p0,p00)00mm equivalent group: P4₂/nnm(0-p0,p00)0.ss.gg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; 1/2-x,y,1/2-z,t,-u; x,1/2-y,1/2-z,-t,u; y,x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,u,-t; -y,1/2+x,1/2-z,-u,t; 1/2+x,-y,1/2+z,-t,u; -x,1/2+y,1/2+z,t,-u; -y,-x,z,u,t; 1/2+y,1/2+x,z,-u,-t;

00l00:l=2n 00l00:l=2n hk0mn:h+k=2n h0l0n:h+l=2n 0klm0:k+l=2n hhl-nn:h+h=2n

2984 P4/mmm(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; y,x,-z,-u,-t; -y,-x,-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2+u,-t; -y,x,-z,-u,1/2+t; x,-y,z,1/2-t,u; -x,y,z,t,1/2-u; -y,-x,z,u,t; y,x,z,1/2-u,1/2-t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:m+n=2n

2985 P4/mcc(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; -x,y,1/2-z,1/2+t,-u; x,-y,1/2-z,-t,1/2+u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2+u,-t; -y,x,-z,-u,1/2+t; x,-y,1/2+z,1/2-t,u; -x,y,1/2+z,t,1/2-u; -y,-x,1/2+z,u,t; y,x,1/2+z,1/2-u,1/2-t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:m+n=2n h0l0n:l=2n 0klm0:l=2n -kklnn:l=2n hhl-nn:l=2n

2986 P4₂/mmc(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; -x,y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2+u,-t; -y,x,1/2-z,-u,1/2+t; x,-y,z,1/2-t,u; -x,y,z,t,1/2-u; -y,-x,1/2+z,u,t; y,x,1/2+z,1/2-u,1/2-t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:m+n=2n -kklnn:l=2n hhl-nn:l=2n

2987 P4₂/mcm(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; -x,y,1/2-z,1/2+t,-u; x,-y,1/2-z,-t,1/2+u; y,x,-z,-u,-t; -y,-x,-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2+u,-t; -y,x,1/2-z,-u,1/2+t; x,-y,1/2+z,1/2-t,u; -x,y,1/2+z,t,1/2-u; -y,-x,z,u,t; y,x,z,1/2-u,1/2-t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:m+n=2n h0l0n:l=2n 0klm0:l=2n

2988 P4/mmm(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,1/2+t,1/2-u; x,-y,-z,1/2-t,1/2+u; y,x,-z,1/2-u,1/2-t; -y,-x,-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,z,1/2-t,1/2+u; -x,y,z,1/2+t,1/2-u; -y,-x,z,1/2+u,1/2+t; y,x,z,1/2-u,1/2-t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

2989 P4/mcc(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,1/2-z,1/2+t,1/2-u; x,-y,1/2-z,1/2-t,1/2+u; y,x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,1/2+z,1/2-t,1/2+u; -x,y,1/2+z,1/2+t,1/2-u; -y,-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,1/2-u,1/2-t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

2990 P4₂/mmc(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,-z,1/2+t,1/2-u; x,-y,-z,1/2-t,1/2+u; y,x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; x,-y,z,1/2-t,1/2+u; -x,y,z,1/2+t,1/2-u; -y,-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,1/2-u,1/2-t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

2991 P4₂/mcm(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,1/2-z,1/2+t,1/2-u; x,-y,1/2-z,1/2-t,1/2+u; y,x,-z,1/2-u,1/2-t; -y,-x,-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; x,-y,1/2+z,1/2-t,1/2+u; -x,y,1/2+z,1/2+t,1/2-u; -y,-x,z,1/2+u,1/2+t; y,x,z,1/2-u,1/2-t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:n+n=2n

2992 P4/nbm(0-p0,p00)0.ss.mm equivalent group: P4/nbm(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,1/2-u,t; y,1/2-x,z,u,1/2-t; 1/2-x,y,-z,1/2+t,-u; x,1/2-y,-z,-t,1/2+u; y,x,-z,-u,-t; 1/2-y,1/2-x,-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,1/2+u,-t; -y,1/2+x,-z,-u,1/2+t; 1/2+x,-y,z,1/2-t,u; -x,1/2+y,z,t,1/2-u; -y,-x,z,u,t; 1/2+y,1/2+x,z,1/2-u,1/2-t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:h+k+m+n=2n h0l0n:h=2n 0klm0:k=2n hhl-nn:h+h=2n

2993 P4/nnc(0-p0,p00)0.ss.mm equivalent group: P4/nnc(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,1/2-u,t; y,1/2-x,z,u,1/2-t; 1/2-x,y,1/2-z,1/2+t,-u; x,1/2-y,1/2-z,-t,1/2+u; y,x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,1/2+u,-t; -y,1/2+x,-z,-u,1/2+t; 1/2+x,-y,1/2+z,1/2-t,u; -x,1/2+y,1/2+z,t,1/2-u; -y,-x,1/2+z,u,t; 1/2+y,1/2+x,1/2+z,1/2-u,1/2-t;

0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:h+k+m+n=2n h0l0n:h+l=2n 0klm0:k+l=2n -kklnn:l=2n hhl-nn:h+h+l=2n

2994 P4₂/nbc(0-p0,p00)0.ss.mm equivalent group: P4₂/nbc(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,1/2-u,t; y,1/2-x,1/2+z,u,1/2-t; 1/2-x,y,-z,1/2+t,-u; x,1/2-y,-z,-t,1/2+u; y,x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,1/2+u,-t; -y,1/2+x,1/2-z,-u,1/2+t; 1/2+x,-y,z,1/2-t,u; -x,1/2+y,z,t,1/2-u; -y,-x,1/2+z,u,t; 1/2+y,1/2+x,1/2+z,1/2-u,1/2-t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:h+k+m+n=2n h0l0n:h=2n 0klm0:k=2n -kklnn:l=2n hhl-nn:h+h+l=2n

2995 P4₂/nnm(0-p0,p00)0.ss.mm equivalent group: P4₂/nnm(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,1/2-u,t; y,1/2-x,1/2+z,u,1/2-t; 1/2-x,y,1/2-z,1/2+t,-u; x,1/2-y,1/2-z,-t,1/2+u; y,x,-z,-u,-t; 1/2-y,1/2-x,-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,1/2+u,-t; -y,1/2+x,1/2-z,-u,1/2+t; 1/2+x,-y,1/2+z,1/2-t,u; -x,1/2+y,1/2+z,t,1/2-u; -y,-x,z,u,t; 1/2+y,1/2+x,z,1/2-u,1/2-t;

00l00:l=2n 00l00:l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:h+k+m+n=2n h0l0n:h+l=2n 0klm0:k+l=2n hhl-nn:h+h=2n

2996 P4/nmm(0-p0,p00)00mm equivalent group: P4/nmm(0-p0,p00)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,u,-t; -y,1/2+x,-z,-u,t; x,1/2-y,z,-t,u; 1/2-x,y,z,t,-u; 1/2-y,1/2-x,z,u,t; y,x,z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k=2n

2997 P4/ncc(0-p0,p00)00mm equivalent group: P4/ncc(0-p0,p00)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,-u,t; y,1/2-x,z,u,-t; -x,1/2+y,1/2-z,t,-u; 1/2+x,-y,1/2-z,-t,u; 1/2+y,1/2+x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,u,-t; -y,1/2+x,-z,-u,t; x,1/2-y,1/2+z,-t,u; 1/2-x,y,1/2+z,t,-u; 1/2-y,1/2-x,1/2+z,u,t; y,x,1/2+z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k=2n h0l0n:l=2n 0klm0:l=2n -kklnn:l=2n hhl-nn:l=2n

2998 P4₂/nmc(0-p0,p00)00mm equivalent group: P4₂/nmc(0-p0,p00)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; -x,1/2+y,-z,t,-u; 1/2+x,-y,-z,-t,u; 1/2+y,1/2+x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,u,-t; -y,1/2+x,1/2-z,-u,t; x,1/2-y,z,-t,u; 1/2-x,y,z,t,-u; 1/2-y,1/2-x,1/2+z,u,t; y,x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k=2n -kklnn:l=2n hhl-nn:l=2n

2999 P4₂/ncm(0-p0,p00)00mm equivalent group: P4₂/ncm(0-p0,p00)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,-u,t; y,1/2-x,1/2+z,u,-t; -x,1/2+y,1/2-z,t,-u; 1/2+x,-y,1/2-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,u,-t; -y,1/2+x,1/2-z,-u,t; x,1/2-y,1/2+z,-t,u; 1/2-x,y,1/2+z,t,-u; 1/2-y,1/2-x,z,u,t; y,x,z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k=2n h0l0n:l=2n 0klm0:l=2n

3000 P4/nmm(0-p0,p00)0.ss.gg equivalent group: P4/nmm(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,1/2-u,t; y,1/2-x,z,u,1/2-t; -x,1/2+y,-z,t,1/2-u; 1/2+x,-y,-z,1/2-t,u; 1/2+y,1/2+x,-z,1/2-u,1/2-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,1/2+u,-t; -y,1/2+x,-z,-u,1/2+t; x,1/2-y,z,-t,1/2+u; 1/2-x,y,z,1/2+t,-u; 1/2-y,1/2-x,z,1/2+u,1/2+t; y,x,z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k+m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

3001 P4/ncc(0-p0,p00)0.ss.gg equivalent group: P4/ncc(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,1/2-u,t; y,1/2-x,z,u,1/2-t; -x,1/2+y,1/2-z,t,1/2-u; 1/2+x,-y,1/2-z,1/2-t,u; 1/2+y,1/2+x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,1/2+u,-t; -y,1/2+x,-z,-u,1/2+t; x,1/2-y,1/2+z,-t,1/2+u; 1/2-x,y,1/2+z,1/2+t,-u; 1/2-y,1/2-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k+m+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

3002 P4₂/nmc(0-p0,p00)0.ss.gg equivalent group: P4₂/nmc(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,1/2-u,t; y,1/2-x,1/2+z,u,1/2-t; -x,1/2+y,-z,t,1/2-u; 1/2+x,-y,-z,1/2-t,u; 1/2+y,1/2+x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,1/2+u,-t; -y,1/2+x,1/2-z,-u,1/2+t; x,1/2-y,z,-t,1/2+u; 1/2-x,y,z,1/2+t,-u; 1/2-y,1/2-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k+m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

3003 P4₂/ncm(0-p0,p00)0.ss.gg equivalent group: P4₂/ncm(0-p0,p00)00gg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,1/2-u,t; y,1/2-x,1/2+z,u,1/2-t; -x,1/2+y,1/2-z,t,1/2-u; 1/2+x,-y,1/2-z,1/2-t,u; 1/2+y,1/2+x,-z,1/2-u,1/2-t; -y,-x,-z,u,t; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,1/2+u,-t; -y,1/2+x,1/2-z,-u,1/2+t; x,1/2-y,1/2+z,-t,1/2+u; 1/2-x,y,1/2+z,1/2+t,-u; 1/2-y,1/2-x,z,1/2+u,1/2+t; y,x,z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k+m+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:n+n=2n

3004 P4/mbm(0-p0,p00)00mm equivalent group: P4/mbm(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2+x,1/2-y,z,-t,u; 1/2-x,1/2+y,z,t,-u; 1/2-y,1/2-x,z,u,t; 1/2+y,1/2+x,z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n h0l0n:h=2n 0klm0:k=2n hhl-nn:h+h=2n

3005 P4/mnc(0-p0,p00)00mm equivalent group: P4/mnc(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; 1/2-x,1/2+y,1/2-z,t,-u; 1/2+x,1/2-y,1/2-z,-t,u; 1/2+y,1/2+x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; 1/2+x,1/2-y,1/2+z,-t,u; 1/2-x,1/2+y,1/2+z,t,-u; 1/2-y,1/2-x,1/2+z,u,t; 1/2+y,1/2+x,1/2+z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n h0l0n:h+l=2n 0klm0:k+l=2n -kklnn:l=2n hhl-nn:h+h+l=2n

3006 P4₂/mbc(0-p0,p00)00mm equivalent group: P4₂/mbc(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,u; 1/2+y,1/2+x,1/2-z,-u,-t; 1/2-y,1/2-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; 1/2+x,1/2-y,z,-t,u; 1/2-x,1/2+y,z,t,-u; 1/2-y,1/2-x,1/2+z,u,t; 1/2+y,1/2+x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n h0l0n:h=2n 0klm0:k=2n -kklnn:l=2n hhl-nn:h+h+l=2n

3007 P4₂/mnm(0-p0,p00)00mm equivalent group: P4₂/mnm(0-p0,p00)00gg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; 1/2-x,1/2+y,1/2-z,t,-u; 1/2+x,1/2-y,1/2-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; 1/2+x,1/2-y,1/2+z,-t,u; 1/2-x,1/2+y,1/2+z,t,-u; 1/2-y,1/2-x,z,u,t; 1/2+y,1/2+x,z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n h0l0n:h+l=2n 0klm0:k+l=2n hhl-nn:h+h=2n

3008 P4/mbm(0-p0,p00)0.ss.gg equivalent group: P4/mbm(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; 1/2-x,1/2+y,-z,t,1/2-u; 1/2+x,1/2-y,-z,1/2-t,u; 1/2+y,1/2+x,-z,1/2-u,1/2-t; 1/2-y,1/2-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2+u,-t; -y,x,-z,-u,1/2+t; 1/2+x,1/2-y,z,-t,1/2+u; 1/2-x,1/2+y,z,1/2+t,-u; 1/2-y,1/2-x,z,1/2+u,1/2+t; 1/2+y,1/2+x,z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:m+n=2n h0l0n:h+n=2n 0klm0:k+m=2n -kklnn:n+n=2n hhl-nn:h+h=2n

3009 P4/mnc(0-p0,p00)0.ss.gg equivalent group: P4/mnc(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; 1/2-x,1/2+y,1/2-z,t,1/2-u; 1/2+x,1/2-y,1/2-z,1/2-t,u; 1/2+y,1/2+x,1/2-z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,1/2+u,-t; -y,x,-z,-u,1/2+t; 1/2+x,1/2-y,1/2+z,-t,1/2+u; 1/2-x,1/2+y,1/2+z,1/2+t,-u; 1/2-y,1/2-x,1/2+z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2+z,-u,-t;

0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:m+n=2n h0l0n:h+l+n=2n 0klm0:k+l+m=2n -kklnn:l+n+n=2n hhl-nn:h+h+l=2n

3010 P4₂/mbc(0-p0,p00)0.ss.gg equivalent group: P4₂/mbc(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; 1/2-x,1/2+y,-z,t,1/2-u; 1/2+x,1/2-y,-z,1/2-t,u; 1/2+y,1/2+x,1/2-z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2+u,-t; -y,x,1/2-z,-u,1/2+t; 1/2+x,1/2-y,z,-t,1/2+u; 1/2-x,1/2+y,z,1/2+t,-u; 1/2-y,1/2-x,1/2+z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2+z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:m+n=2n h0l0n:h+n=2n 0klm0:k+m=2n -kklnn:l+n+n=2n hhl-nn:h+h+l=2n

3011 P4₂/mnm(0-p0,p00)0.ss.gg equivalent group: P4₂/mnm(0-p0,p00)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,1/2-u,t; y,-x,1/2+z,u,1/2-t; 1/2-x,1/2+y,1/2-z,t,1/2-u; 1/2+x,1/2-y,1/2-z,1/2-t,u; 1/2+y,1/2+x,-z,1/2-u,1/2-t; 1/2-y,1/2-x,-z,u,t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,1/2+u,-t; -y,x,1/2-z,-u,1/2+t; 1/2+x,1/2-y,1/2+z,-t,1/2+u; 1/2-x,1/2+y,1/2+z,1/2+t,-u; 1/2-y,1/2-x,z,1/2+u,1/2+t; 1/2+y,1/2+x,z,-u,-t;

00l00:l=2n 00l00:l=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:m+n=2n h0l0n:h+l+n=2n 0klm0:k+l+m=2n -kklnn:n+n=2n hhl-nn:h+h=2n

3012 P4/mmm(1/2-p0,p1/20)00mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n

3013 P4/mcc(1/2-p0,p1/20)00mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t; -x,-y,1/2-z,-t,-u; x,y,1/2-z,t,u; y,-x,1/2-z,u,-t; -y,x,1/2-z,-u,t; x,-y,1/2+z,-t,u; -x,y,1/2+z,t,-u; -y,-x,1/2+z,u,t; y,x,1/2+z,-u,-t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n h0l0n:l=2n 0klm0:l=2n -kklnn:l=2n hhl-nn:l=2n

3014 P4₂/mmc(1/2-p0,p1/20)00mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n -kklnn:l=2n hhl-nn:l=2n

3015 P4₂/mcm(1/2-p0,p1/20)00mm

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,-u,t; y,-x,1/2+z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; -x,-y,1/2-z,-t,-u; x,y,1/2-z,t,u; y,-x,-z,u,-t; -y,x,-z,-u,t; x,-y,1/2+z,-t,u; -x,y,1/2+z,t,-u; -y,-x,z,u,t; y,x,z,-u,-t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n h0l0n:l=2n 0klm0:l=2n

3016 P4/mmm(1/2-p0,p1/20)0.ss.gd

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,z,1/4-u,3/4+t; 1/4+y,1/4-x,z,3/4+u,1/4-t; -x,y,-z,t,-u; x,-y,-z,1/2-t,1/2+u; 3/4+y,1/4+x,-z,1/4-u,1/4-t; 3/4-y,1/4-x,-z,3/4+u,3/4+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; 3/4+y,3/4-x,-z,3/4+u,1/4-t; 3/4-y,3/4+x,-z,1/4-u,3/4+t; x,-y,z,-t,u; -x,y,z,1/2+t,1/2-u; 1/4-y,3/4-x,z,3/4+u,3/4+t; 1/4+y,3/4+x,z,1/4-u,1/4-t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n h000n:n=2n kk0m-m:k+k=2n h-h0nn:h-3h+n+n=4n hk0mn:m+n=2n 0klm0:m=2n -kklnn:3k+k+3n+3n=4n hhl-nn:h+h=2n

3017 P4/mcc(1/2-p0,p1/20)0.ss.gd

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,z,1/4-u,3/4+t; 1/4+y,1/4-x,z,3/4+u,1/4-t; -x,y,-z,t,-u; x,-y,-z,1/2-t,1/2+u; 3/4+y,1/4+x,-z,1/4-u,1/4-t; 3/4-y,1/4-x,-z,3/4+u,3/4+t; -x,-y,1/2-z,-t,-u; x,y,1/2-z,1/2+t,1/2+u; 3/4+y,3/4-x,1/2-z,3/4+u,1/4-t; 3/4-y,3/4+x,1/2-z,1/4-u,3/4+t; x,-y,1/2+z,-t,u; -x,y,1/2+z,1/2+t,1/2-u; 1/4-y,3/4-x,1/2+z,3/4+u,3/4+t; 1/4+y,3/4+x,1/2+z,1/4-u,1/4-t;

3018 P4₂/mmc(1/2-p0,p1/20)0.ss.gd

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,1/2+z,1/4-u,3/4+t; 1/4+y,1/4-x,1/2+z,3/4+u,1/4-t; -x,y,-z,t,-u; x,-y,-z,1/2-t,1/2+u; 3/4+y,1/4+x,1/2-z,1/4-u,1/4-t; 3/4-y,1/4-x,1/2-z,3/4+u,3/4+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; 3/4+y,3/4-x,1/2-z,3/4+u,1/4-t; 3/4-y,3/4+x,1/2-z,1/4-u,3/4+t; x,-y,z,-t,u; -x,y,z,1/2+t,1/2-u; 1/4-y,3/4-x,1/2+z,3/4+u,3/4+t; 1/4+y,3/4+x,1/2+z,1/4-u,1/4-t;

3019 P4₂/mcm(1/2-p0,p1/20)0.ss.gd

(00000;01/2001/2;1/2001/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; 1/4-y,1/4+x,1/2+z,1/4-u,3/4+t; 1/4+y,1/4-x,1/2+z,3/4+u,1/4-t; -x,y,-z,t,-u; x,-y,-z,1/2-t,1/2+u; 3/4+y,1/4+x,1/2-z,1/4-u,1/4-t; 3/4-y,1/4-x,1/2-z,3/4+u,3/4+t; -x,-y,1/2-z,-t,-u; x,y,1/2-z,1/2+t,1/2+u; 3/4+y,3/4-x,-z,3/4+u,1/4-t; 3/4-y,3/4+x,-z,1/4-u,3/4+t; x,-y,1/2+z,-t,u; -x,y,1/2+z,1/2+t,1/2-u; 1/4-y,3/4-x,z,3/4+u,3/4+t; 1/4+y,3/4+x,z,1/4-u,1/4-t;

hklmn:k+n=2n hklmn:h+m=2n hklmn:h+k+m+n=2n 00l00:l=2n 00l00:l=2n h000n:n=2n kk0m-m:k+k=2n h-h0nn:h-3h+n+n=4n hk0mn:m+n=2n h0l0n:l=2n 0klm0:l+m=2n -kklnn:3k+k+3n+3n=4n hhl-nn:h+h=2n

3020 P4/mmm(0-p1/2,p01/2)00mm

(00000;001/21/21/2)

hklmn:l+m+n=2n

3021 P4/mmm(0-p1/2,p01/2)0.ss.gg

(00000;001/21/21/2)

hklmn:l+m+n=2n hk0mn:m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

3022 P4/nbm(0-p1/2,p01/2)00mm equivalent group: P4/nbm(0-p1/2,p01/2)0.ss.gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; -x,y,-z,t,-u; x,-y,-z,-t,u; y,x,-z,-u,-t; -y,-x,-z,u,t; 1/2-x,1/2-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,1/2-x,-z,u,-t; 1/2-y,1/2+x,-z,-u,t; 1/2+x,1/2-y,z,-t,u; 1/2-x,1/2+y,z,t,-u; 1/2-y,1/2-x,z,u,t; 1/2+y,1/2+x,z,-u,-t;

hklmn:l+m+n=2n hk0mn:h+k=2n h0l0n:h=2n 0klm0:k=2n hhl-nn:h+h=2n

3023 P4₂/mmc(0-p1/2,p01/2)0.0s.md

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; -x,y,-z,t,-u; x,-y,-z,-t,1/2+u; y,x,3/4-z,1/4-u,1/4-t; -y,-x,3/4-z,3/4+u,1/4+t; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,3/4+u,1/4-t; -y,x,3/4-z,1/4-u,1/4+t; x,-y,z,-t,u; -x,y,z,t,1/2-u; -y,-x,1/4+z,3/4+u,3/4+t; y,x,1/4+z,1/4-u,3/4-t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h000n:n=2n h-h0nn:n+n=2n hk0mn:n=2n -kklnn:l+3n+3n=4n hhl-nn:l-3n+n=4n

3024 P4₂/mmc(0-p1/2,p01/2)0.s0.gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4-u,3/4+t; y,-x,1/4+z,3/4+u,1/4-t; -x,y,-z,t,1/2-u; x,-y,-z,1/2-t,1/2+u; y,x,3/4-z,3/4-u,3/4-t; -y,-x,3/4-z,3/4+u,1/4+t; -x,-y,-z,-t,-u; x,y,-z,1/2+t,u; y,-x,3/4-z,1/4+u,1/4-t; -y,x,3/4-z,1/4-u,3/4+t; x,-y,z,-t,1/2+u; -x,y,z,1/2+t,1/2-u; -y,-x,1/4+z,1/4+u,1/4+t; y,x,1/4+z,1/4-u,3/4-t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h000n:n=2n h-h0nn:n+n=2n hk0mn:m=2n h0l0n:n=2n 0klm0:m=2n -kklnn:l+n+n=4n hhl-nn:l-3n+n=4n

3025 P4₂/nbc(0-p1/2,p01/2)0.0s.md equivalent group: P4₂/nbc(0-p1/2,p01/2)0.s0.gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; -x,y,-z,t,-u; x,-y,-z,-t,1/2+u; y,x,3/4-z,1/4-u,1/4-t; -y,-x,3/4-z,3/4+u,1/4+t; 1/2-x,1/2-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; 1/2+y,1/2-x,3/4-z,3/4+u,1/4-t; 1/2-y,1/2+x,3/4-z,1/4-u,1/4+t; 1/2+x,1/2-y,z,-t,u; 1/2-x,1/2+y,z,t,1/2-u; 1/2-y,1/2-x,1/4+z,3/4+u,3/4+t; 1/2+y,1/2+x,1/4+z,1/4-u,3/4-t;

3026 P4/mbm(0-p1/2,p01/2)00mm equivalent group: P4/mbm(0-p1/2,p01/2)0.ss.gg

(00000;001/21/21/2)

hklmn:l+m+n=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n h0l0n:h=2n 0klm0:k=2n hhl-nn:h+h=2n

3027 P4/nmm(0-p1/2,p01/2)00mm

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,-u,t; y,-x,z,u,-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,u; 1/2+y,1/2+x,-z,-u,-t; 1/2-y,1/2-x,-z,u,t; 1/2-x,1/2-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,1/2-x,-z,u,-t; 1/2-y,1/2+x,-z,-u,t; x,-y,z,-t,u; -x,y,z,t,-u; -y,-x,z,u,t; y,x,z,-u,-t;

hklmn:l+m+n=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k=2n

3028 P4/nmm(0-p1/2,p01/2)0.ss.gg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,1/2-u,t; y,-x,z,u,1/2-t; 1/2-x,1/2+y,-z,t,1/2-u; 1/2+x,1/2-y,-z,1/2-t,u; 1/2+y,1/2+x,-z,1/2-u,1/2-t; 1/2-y,1/2-x,-z,u,t; 1/2-x,1/2-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,1/2-x,-z,1/2+u,-t; 1/2-y,1/2+x,-z,-u,1/2+t; x,-y,z,-t,1/2+u; -x,y,z,1/2+t,-u; -y,-x,z,1/2+u,1/2+t; y,x,z,-u,-t;

hklmn:l+m+n=2n 0k0m0:k=2n h000n:h=2n kk0m-m:k+k=2n hk0mn:h+k+m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

3029 P4₂/mbc(0-p1/2,p01/2)0.0s.md equivalent group: P4₂/mbc(0-p1/2,p01/2)0.s0.gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,1/2+u; 1/2+y,1/2+x,3/4-z,1/4-u,1/4-t; 1/2-y,1/2-x,3/4-z,3/4+u,1/4+t; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,3/4+u,1/4-t; -y,x,3/4-z,1/4-u,1/4+t; 1/2+x,1/2-y,z,-t,u; 1/2-x,1/2+y,z,t,1/2-u; 1/2-y,1/2-x,1/4+z,3/4+u,3/4+t; 1/2+y,1/2+x,1/4+z,1/4-u,3/4-t;

3030 P4₂/nmc(0-p1/2,p01/2)0.0s.md

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,1/4-u,3/4+t; y,-x,1/4+z,3/4+u,3/4-t; 1/2-x,1/2+y,-z,t,-u; 1/2+x,1/2-y,-z,-t,1/2+u; 1/2+y,1/2+x,3/4-z,1/4-u,1/4-t; 1/2-y,1/2-x,3/4-z,3/4+u,1/4+t; 1/2-x,1/2-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; 1/2+y,1/2-x,3/4-z,3/4+u,1/4-t; 1/2-y,1/2+x,3/4-z,1/4-u,1/4+t; x,-y,z,-t,u; -x,y,z,t,1/2-u; -y,-x,1/4+z,3/4+u,3/4+t; y,x,1/4+z,1/4-u,3/4-t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0m0:k=2n h000n:h+n=2n kk0m-m:k+k=2n h-h0nn:n+n=2n hk0mn:h+k+n=2n -kklnn:l+3n+3n=4n hhl-nn:l-3n+n=4n

3031 P4₂/nmc(0-p1/2,p01/2)0.s0.gd

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,1/2-t,-u; -y,x,1/4+z,3/4-u,3/4+t; y,-x,1/4+z,3/4+u,1/4-t; 1/2-x,1/2+y,-z,t,1/2-u; 1/2+x,1/2-y,-z,1/2-t,1/2+u; 1/2+y,1/2+x,3/4-z,3/4-u,3/4-t; 1/2-y,1/2-x,3/4-z,3/4+u,1/4+t; 1/2-x,1/2-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,u; 1/2+y,1/2-x,3/4-z,1/4+u,1/4-t; 1/2-y,1/2+x,3/4-z,1/4-u,3/4+t; x,-y,z,-t,1/2+u; -x,y,z,1/2+t,1/2-u; -y,-x,1/4+z,1/4+u,1/4+t; y,x,1/4+z,1/4-u,3/4-t;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0m0:k=2n h000n:h+n=2n kk0m-m:k+k=2n h-h0nn:n+n=2n hk0mn:h+k+m=2n h0l0n:n=2n 0klm0:m=2n -kklnn:l+n+n=4n hhl-nn:l-3n+n=4n

3032 P4/mmm(1/2-p1/2,p1/21/2)00mm

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n

3033 P4/nnc(1/2-p1/2,p1/21/2)0.qq.dd

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; 3/4-x,3/4-y,z,3/4-t,3/4-u; 3/4-y,x,z,3/4-u,t; y,3/4-x,z,u,3/4-t; 3/4-x,y,1/4-z,t,3/4-u; x,3/4-y,1/4-z,3/4-t,u; y,x,1/4-z,3/4-u,3/4-t; 3/4-y,3/4-x,1/4-z,u,t; -x,-y,-z,-t,-u; 1/4+x,1/4+y,-z,1/4+t,1/4+u; 1/4+y,-x,-z,1/4+u,-t; -y,1/4+x,-z,-u,1/4+t; 1/4+x,-y,3/4+z,-t,1/4+u; -x,1/4+y,3/4+z,1/4+t,-u; -y,-x,3/4+z,1/4+u,1/4+t; 1/4+y,1/4+x,3/4+z,-u,-t;

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n hk0mn:h+k+m+n=4n h0l0n:h+3l+n=4n 0klm0:k+3l+m=4n -kklnn:3l+n+n=4n hhl-nn:h+h+3l=4n

3034 P4₂/mmc(1/2-p1/2,p1/21/2)0.0s.md

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h000n:n=2n h-h0nn:n+n=2n hk0mn:n=2n -kklnn:l+3n+3n=4n hhl-nn:l-3n+n=4n

3035 P4₂/nnm(1/2-p1/2,p1/21/2)0.qq.dm

(00000;001/21/21/2;01/2001/2;01/21/21/20;1/2001/20;1/201/201/2; 1/21/201/21/2;1/21/21/200)

x,y,z,t,u; 3/4-x,3/4-y,z,3/4-t,1/4-u; 3/4-y,x,1/4+z,-u,3/4+t; y,3/4-x,1/4+z,3/4+u,1/2-t; 3/4-x,y,1/4-z,t,3/4-u; x,3/4-y,1/4-z,3/4-t,1/2+u; y,x,-z,-u,-t; 3/4-y,3/4-x,-z,3/4+u,1/4+t; -x,-y,-z,-t,-u; 1/4+x,1/4+y,-z,1/4+t,3/4+u; 1/4+y,-x,3/4-z,u,1/4-t; -y,1/4+x,3/4-z,1/4-u,1/2+t; 1/4+x,-y,3/4+z,-t,1/4+u; -x,1/4+y,3/4+z,1/4+t,1/2-u; -y,-x,z,u,t; 1/4+y,1/4+x,z,1/4-u,3/4-t;

hklmn:l+m+n=2n hklmn:k+n=2n hklmn:k+l+m=2n hklmn:h+m=2n hklmn:h+l+n=2n hklmn:h+k+m+n=2n hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h000n:n=2n h-h0nn:n+n=2n hk0mn:h+k+m+3n=4n h0l0n:h+3l+n=4n 0klm0:k+3l+m=4n hhl-nn:h+h-3n+n=4n

3036 P4/mmm(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,u,t; -x,y,z,-u,-t; -y,-x,z,-t,u; y,x,z,t,-u;

3037 P4/mcc(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,1/2-z,-u,-t; x,-y,1/2-z,u,t; y,x,1/2-z,t,-u; -y,-x,1/2-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,1/2+z,u,t; -x,y,1/2+z,-u,-t; -y,-x,1/2+z,-t,u; y,x,1/2+z,t,-u;

h0lnn:l=2n 0kl-nn:l=2n -kkl0n:l=2n kklm0:l=2n

3038 P4₂/mmc(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,1/2-z,t,-u; -y,-x,1/2-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; x,-y,z,u,t; -x,y,z,-u,-t; -y,-x,1/2+z,-t,u; y,x,1/2+z,t,-u;

00l00:l=2n 00l00:l=2n -kkl0n:l=2n kklm0:l=2n

3039 P4₂/mcm(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; -x,y,1/2-z,-u,-t; x,-y,1/2-z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; x,-y,1/2+z,u,t; -x,y,1/2+z,-u,-t; -y,-x,z,-t,u; y,x,z,t,-u;

00l00:l=2n 00l00:l=2n h0lnn:l=2n 0kl-nn:l=2n

3040 P4/mmm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,-z,1/2-u,1/2-t; x,-y,-z,u,t; y,x,-z,t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; x,-y,z,1/2+u,1/2+t; -x,y,z,-u,-t; -y,-x,z,-t,1/2+u; y,x,z,1/2+t,-u;

hk0mn:m+n=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3041 P4/mcc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,1/2-z,1/2-u,1/2-t; x,-y,1/2-z,u,t; y,x,1/2-z,t,1/2-u; -y,-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; x,-y,1/2+z,1/2+u,1/2+t; -x,y,1/2+z,-u,-t; -y,-x,1/2+z,-t,1/2+u; y,x,1/2+z,1/2+t,-u;

hk0mn:m+n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:l+n=2n kklm0:l+m=2n

3042 P4₂/mmc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; -x,y,-z,1/2-u,1/2-t; x,-y,-z,u,t; y,x,1/2-z,t,1/2-u; -y,-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; x,-y,z,1/2+u,1/2+t; -x,y,z,-u,-t; -y,-x,1/2+z,-t,1/2+u; y,x,1/2+z,1/2+t,-u;

00l00:l=2n 00l00:l=2n hk0mn:m+n=2n h0lnn:n+n=2n -kkl0n:l+n=2n kklm0:l+m=2n

3043 P4₂/mcm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; -x,y,1/2-z,1/2-u,1/2-t; x,-y,1/2-z,u,t; y,x,-z,t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; x,-y,1/2+z,1/2+u,1/2+t; -x,y,1/2+z,-u,-t; -y,-x,z,-t,1/2+u; y,x,z,1/2+t,-u;

00l00:l=2n 00l00:l=2n hk0mn:m+n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:n=2n kklm0:m=2n

3044 P4/nbm(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; 1/2-x,y,-z,-u,-t; x,1/2-y,-z,u,t; y,x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; 1/2+x,-y,z,u,t; -x,1/2+y,z,-u,-t; -y,-x,z,-t,u; 1/2+y,1/2+x,z,t,-u;

hk0mn:h+k=2n h0lnn:h=2n 0kl-nn:k=2n kklm0:k+k=2n

3045 P4/nnc(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; 1/2-x,y,1/2-z,-u,-t; x,1/2-y,1/2-z,u,t; y,x,1/2-z,t,-u; 1/2-y,1/2-x,1/2-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; 1/2+x,-y,1/2+z,u,t; -x,1/2+y,1/2+z,-u,-t; -y,-x,1/2+z,-t,u; 1/2+y,1/2+x,1/2+z,t,-u;

hk0mn:h+k=2n h0lnn:h+l=2n 0kl-nn:k+l=2n -kkl0n:l=2n kklm0:k+k+l=2n

3046 P4₂/nbc(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; 1/2-x,y,-z,-u,-t; x,1/2-y,-z,u,t; y,x,1/2-z,t,-u; 1/2-y,1/2-x,1/2-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; 1/2+x,-y,z,u,t; -x,1/2+y,z,-u,-t; -y,-x,1/2+z,-t,u; 1/2+y,1/2+x,1/2+z,t,-u;

00l00:l=2n 00l00:l=2n hk0mn:h+k=2n h0lnn:h=2n 0kl-nn:k=2n -kkl0n:l=2n kklm0:k+k+l=2n

3047 P4₂/nnm(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; 1/2-x,y,1/2-z,-u,-t; x,1/2-y,1/2-z,u,t; y,x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; 1/2+x,-y,1/2+z,u,t; -x,1/2+y,1/2+z,-u,-t; -y,-x,z,-t,u; 1/2+y,1/2+x,z,t,-u;

00l00:l=2n 00l00:l=2n hk0mn:h+k=2n h0lnn:h+l=2n 0kl-nn:k+l=2n kklm0:k+k=2n

3048 P4/nbm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; 1/2-x,y,-z,1/2-u,1/2-t; x,1/2-y,-z,u,t; y,x,-z,t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; 1/2+x,-y,z,1/2+u,1/2+t; -x,1/2+y,z,-u,-t; -y,-x,z,-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,-u;

hk0mn:h+k+m+n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:n=2n kklm0:k+k+m=2n

3049 P4/nnc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; 1/2-x,y,1/2-z,1/2-u,1/2-t; x,1/2-y,1/2-z,u,t; y,x,1/2-z,t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; 1/2+x,-y,1/2+z,1/2+u,1/2+t; -x,1/2+y,1/2+z,-u,-t; -y,-x,1/2+z,-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,-u;

hk0mn:h+k+m+n=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3050 P4₂/nbc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; 1/2-x,y,-z,1/2-u,1/2-t; x,1/2-y,-z,u,t; y,x,1/2-z,t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; 1/2+x,-y,z,1/2+u,1/2+t; -x,1/2+y,z,-u,-t; -y,-x,1/2+z,-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,-u;

00l00:l=2n 00l00:l=2n hk0mn:h+k+m+n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3051 P4₂/nnm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; 1/2-x,y,1/2-z,1/2-u,1/2-t; x,1/2-y,1/2-z,u,t; y,x,-z,t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; 1/2+x,-y,1/2+z,1/2+u,1/2+t; -x,1/2+y,1/2+z,-u,-t; -y,-x,z,-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,-u;

00l00:l=2n 00l00:l=2n hk0mn:h+k+m+n=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:n=2n kklm0:k+k+m=2n

3052 P4/mmm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; x,-y,z,u,t; -x,y,z,1/2-u,1/2-t; -y,-x,z,1/2-t,u; y,x,z,t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:m+n=2n

3053 P4/mcc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,1/2-z,-u,-t; x,-y,1/2-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; x,-y,1/2+z,u,t; -x,y,1/2+z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,u; y,x,1/2+z,t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:l=2n 0kl-nn:l=2n -kkl0n:l=2n kklm0:l=2n

3054 P4₂/mmc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; x,-y,z,u,t; -x,y,z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,u; y,x,1/2+z,t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:m+n=2n -kkl0n:l=2n kklm0:l=2n

3055 P4₂/mcm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; -x,y,1/2-z,-u,-t; x,-y,1/2-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; x,-y,1/2+z,u,t; -x,y,1/2+z,1/2-u,1/2-t; -y,-x,z,1/2-t,u; y,x,z,t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:l=2n 0kl-nn:l=2n

3056 P4/mmm(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,1/2-u,1/2-t; x,-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,z,1/2+u,1/2+t; -x,y,z,1/2-u,1/2-t; -y,-x,z,1/2-t,1/2+u; y,x,z,1/2+t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3057 P4/mcc(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,1/2-z,1/2-u,1/2-t; x,-y,1/2-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; x,-y,1/2+z,1/2+u,1/2+t; -x,y,1/2+z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:l+n=2n kklm0:l+m=2n

3058 P4₂/mmc(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; -x,y,-z,1/2-u,1/2-t; x,-y,-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; x,-y,z,1/2+u,1/2+t; -x,y,z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:n+n=2n -kkl0n:l+n=2n kklm0:l+m=2n

3059 P4₂/mcm(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; -x,y,1/2-z,1/2-u,1/2-t; x,-y,1/2-z,1/2+u,1/2+t; y,x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; x,-y,1/2+z,1/2+u,1/2+t; -x,y,1/2+z,1/2-u,1/2-t; -y,-x,z,1/2-t,1/2+u; y,x,z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:n=2n kklm0:m=2n

3060 P4/nbm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; 1/2-x,y,-z,-u,-t; x,1/2-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; 1/2-y,1/2-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; 1/2+x,-y,z,u,t; -x,1/2+y,z,1/2-u,1/2-t; -y,-x,z,1/2-t,u; 1/2+y,1/2+x,z,t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n h0lnn:h=2n 0kl-nn:k=2n kklm0:k+k=2n

3061 P4/nnc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; 1/2-x,y,1/2-z,-u,-t; x,1/2-y,1/2-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; 1/2-y,1/2-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; 1/2+x,-y,1/2+z,u,t; -x,1/2+y,1/2+z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,u; 1/2+y,1/2+x,1/2+z,t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n h0lnn:h+l=2n 0kl-nn:k+l=2n -kkl0n:l=2n kklm0:k+k+l=2n

3062 P4₂/nbc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; 1/2-x,y,-z,-u,-t; x,1/2-y,-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,-u; 1/2-y,1/2-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; 1/2+x,-y,z,u,t; -x,1/2+y,z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,u; 1/2+y,1/2+x,1/2+z,t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n h0lnn:h=2n 0kl-nn:k=2n -kkl0n:l=2n kklm0:k+k+l=2n

3063 P4₂/nnm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; 1/2-x,y,1/2-z,-u,-t; x,1/2-y,1/2-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; 1/2-y,1/2-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; 1/2+x,-y,1/2+z,u,t; -x,1/2+y,1/2+z,1/2-u,1/2-t; -y,-x,z,1/2-t,u; 1/2+y,1/2+x,z,t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n h0lnn:h+l=2n 0kl-nn:k+l=2n kklm0:k+k=2n

3064 P4/nbm(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; 1/2-x,y,-z,1/2-u,1/2-t; x,1/2-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; 1/2+x,-y,z,1/2+u,1/2+t; -x,1/2+y,z,1/2-u,1/2-t; -y,-x,z,1/2-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:n=2n kklm0:k+k+m=2n

3065 P4/nnc(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; 1/2-x,y,1/2-z,1/2-u,1/2-t; x,1/2-y,1/2-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; 1/2+x,-y,1/2+z,1/2+u,1/2+t; -x,1/2+y,1/2+z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,1/2-u;

h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3066 P4₂/nbc(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; 1/2-x,y,-z,1/2-u,1/2-t; x,1/2-y,-z,1/2+u,1/2+t; y,x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; 1/2+x,-y,z,1/2+u,1/2+t; -x,1/2+y,z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3067 P4₂/nnm(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; 1/2-x,y,1/2-z,1/2-u,1/2-t; x,1/2-y,1/2-z,1/2+u,1/2+t; y,x,-z,1/2+t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; 1/2+x,-y,1/2+z,1/2+u,1/2+t; -x,1/2+y,1/2+z,1/2-u,1/2-t; -y,-x,z,1/2-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:n=2n kklm0:k+k+m=2n

3068 P4/mbm(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; 1/2+x,1/2-y,z,u,t; 1/2-x,1/2+y,z,-u,-t; 1/2-y,1/2-x,z,-t,u; 1/2+y,1/2+x,z,t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n h0lnn:h=2n 0kl-nn:k=2n kklm0:k+k=2n

3069 P4/mnc(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2-x,1/2+y,1/2-z,-u,-t; 1/2+x,1/2-y,1/2-z,u,t; 1/2+y,1/2+x,1/2-z,t,-u; 1/2-y,1/2-x,1/2-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; 1/2+x,1/2-y,1/2+z,u,t; 1/2-x,1/2+y,1/2+z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,u; 1/2+y,1/2+x,1/2+z,t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n h0lnn:h+l=2n 0kl-nn:k+l=2n -kkl0n:l=2n kklm0:k+k+l=2n

3070 P4₂/mbc(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,1/2-z,t,-u; 1/2-y,1/2-x,1/2-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; 1/2+x,1/2-y,z,u,t; 1/2-x,1/2+y,z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,u; 1/2+y,1/2+x,1/2+z,t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n h0lnn:h=2n 0kl-nn:k=2n -kkl0n:l=2n kklm0:k+k+l=2n

3071 P4₂/mnm(-p-p0,-pp0)00mm

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2-x,1/2+y,1/2-z,-u,-t; 1/2+x,1/2-y,1/2-z,u,t; 1/2+y,1/2+x,-z,t,-u; 1/2-y,1/2-x,-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; 1/2+x,1/2-y,1/2+z,u,t; 1/2-x,1/2+y,1/2+z,-u,-t; 1/2-y,1/2-x,z,-t,u; 1/2+y,1/2+x,z,t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n h0lnn:h+l=2n 0kl-nn:k+l=2n kklm0:k+k=2n

3072 P4/mbm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2-x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,-z,t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; 1/2+x,1/2-y,z,1/2+u,1/2+t; 1/2-x,1/2+y,z,-u,-t; 1/2-y,1/2-x,z,-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:m+n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:n=2n kklm0:k+k+m=2n

3073 P4/mnc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2-x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,1/2-y,1/2-z,u,t; 1/2+y,1/2+x,1/2-z,t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; 1/2+x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,1/2+y,1/2+z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:m+n=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3074 P4₂/mbc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2-x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,1/2-y,-z,u,t; 1/2+y,1/2+x,1/2-z,t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; 1/2+x,1/2-y,z,1/2+u,1/2+t; 1/2-x,1/2+y,z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:m+n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3075 P4₂/mnm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2-x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,1/2-y,1/2-z,u,t; 1/2+y,1/2+x,-z,t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; 1/2+x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,1/2+y,1/2+z,-u,-t; 1/2-y,1/2-x,z,-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:m+n=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:n=2n kklm0:k+k+m=2n

3076 P4/nmm(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; -x,1/2+y,-z,-u,-t; 1/2+x,-y,-z,u,t; 1/2+y,1/2+x,-z,t,-u; -y,-x,-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; x,1/2-y,z,u,t; 1/2-x,y,z,-u,-t; 1/2-y,1/2-x,z,-t,u; y,x,z,t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k=2n

3077 P4/ncc(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; -x,1/2+y,1/2-z,-u,-t; 1/2+x,-y,1/2-z,u,t; 1/2+y,1/2+x,1/2-z,t,-u; -y,-x,1/2-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; x,1/2-y,1/2+z,u,t; 1/2-x,y,1/2+z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,u; y,x,1/2+z,t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k=2n h0lnn:l=2n 0kl-nn:l=2n -kkl0n:l=2n kklm0:l=2n

3078 P4₂/nmc(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; -x,1/2+y,-z,-u,-t; 1/2+x,-y,-z,u,t; 1/2+y,1/2+x,1/2-z,t,-u; -y,-x,1/2-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; x,1/2-y,z,u,t; 1/2-x,y,z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,u; y,x,1/2+z,t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k=2n -kkl0n:l=2n kklm0:l=2n

3079 P4₂/ncm(-p-p0,-pp0)00mm

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; -x,1/2+y,1/2-z,-u,-t; 1/2+x,-y,1/2-z,u,t; 1/2+y,1/2+x,-z,t,-u; -y,-x,-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; x,1/2-y,1/2+z,u,t; 1/2-x,y,1/2+z,-u,-t; 1/2-y,1/2-x,z,-t,u; y,x,z,t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k=2n h0lnn:l=2n 0kl-nn:l=2n

3080 P4/nmm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; -x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,-y,-z,u,t; 1/2+y,1/2+x,-z,t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; x,1/2-y,z,1/2+u,1/2+t; 1/2-x,y,z,-u,-t; 1/2-y,1/2-x,z,-t,1/2+u; y,x,z,1/2+t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k+m+n=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3081 P4/ncc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; -x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,-y,1/2-z,u,t; 1/2+y,1/2+x,1/2-z,t,1/2-u; -y,-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,y,1/2+z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,1/2+u; y,x,1/2+z,1/2+t,-u;

0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k+m+n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:l+n=2n kklm0:l+m=2n

3082 P4₂/nmc(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; -x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,-y,-z,u,t; 1/2+y,1/2+x,1/2-z,t,1/2-u; -y,-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; x,1/2-y,z,1/2+u,1/2+t; 1/2-x,y,z,-u,-t; 1/2-y,1/2-x,1/2+z,-t,1/2+u; y,x,1/2+z,1/2+t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k+m+n=2n h0lnn:n+n=2n -kkl0n:l+n=2n kklm0:l+m=2n

3083 P4₂/ncm(-p-p0,-pp0)0.ss.mg

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; -x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,-y,1/2-z,u,t; 1/2+y,1/2+x,-z,t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,y,1/2+z,-u,-t; 1/2-y,1/2-x,z,-t,1/2+u; y,x,z,1/2+t,-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k+m+n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:n=2n kklm0:m=2n

3084 P4/mbm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,-u; 1/2-y,1/2-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; 1/2+x,1/2-y,z,u,t; 1/2-x,1/2+y,z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,u; 1/2+y,1/2+x,z,t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:h=2n 0kl-nn:k=2n kklm0:k+k=2n

3085 P4/mnc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; 1/2-x,1/2+y,1/2-z,-u,-t; 1/2+x,1/2-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,-u; 1/2-y,1/2-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,-z,-u,1/2+t; -y,x,-z,1/2+u,-t; 1/2+x,1/2-y,1/2+z,u,t; 1/2-x,1/2+y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,u; 1/2+y,1/2+x,1/2+z,t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:h+l=2n 0kl-nn:k+l=2n -kkl0n:l=2n kklm0:k+k+l=2n

3086 P4₂/mbc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2-x,1/2+y,-z,-u,-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,-u; 1/2-y,1/2-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; 1/2+x,1/2-y,z,u,t; 1/2-x,1/2+y,z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,u; 1/2+y,1/2+x,1/2+z,t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:h=2n 0kl-nn:k=2n -kkl0n:l=2n kklm0:k+k+l=2n

3087 P4₂/mnm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,1/2+z,u,1/2-t; y,-x,1/2+z,1/2-u,t; 1/2-x,1/2+y,1/2-z,-u,-t; 1/2+x,1/2-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,-u; 1/2-y,1/2-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; 1/2+x,1/2-y,1/2+z,u,t; 1/2-x,1/2+y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,u; 1/2+y,1/2+x,z,t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:h+l=2n 0kl-nn:k+l=2n kklm0:k+k=2n

3088 P4/mbm(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2-x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; 1/2+x,1/2-y,z,1/2+u,1/2+t; 1/2-x,1/2+y,z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:n=2n kklm0:k+k+m=2n

3089 P4/mnc(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; 1/2-x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,1/2-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; 1/2+x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,1/2+y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3090 P4₂/mbc(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2-x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,1/2-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; 1/2+x,1/2-y,z,1/2+u,1/2+t; 1/2-x,1/2+y,z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3091 P4₂/mnm(-p-p0,-pp0)00mg

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,1/2+z,u,-t; y,-x,1/2+z,-u,t; 1/2-x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,1/2-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; 1/2+x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,1/2+y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n h0lnn:h+l+n+n=2n 0kl-nn:k+l=2n -kkl0n:n=2n kklm0:k+k+m=2n

3092 P4/nmm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; -x,1/2+y,-z,-u,-t; 1/2+x,-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; x,1/2-y,z,u,t; 1/2-x,y,z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,u; y,x,z,t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n

3093 P4/ncc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,z,u,1/2-t; y,1/2-x,z,1/2-u,t; -x,1/2+y,1/2-z,-u,-t; 1/2+x,-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,-z,-u,1/2+t; -y,1/2+x,-z,1/2+u,-t; x,1/2-y,1/2+z,u,t; 1/2-x,y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,u; y,x,1/2+z,t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n h0lnn:l=2n 0kl-nn:l=2n -kkl0n:l=2n kklm0:l=2n

3094 P4₂/nmc(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; -x,1/2+y,-z,-u,-t; 1/2+x,-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,-u; -y,-x,1/2-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; x,1/2-y,z,u,t; 1/2-x,y,z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,u; y,x,1/2+z,t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n -kkl0n:l=2n kklm0:l=2n

3095 P4₂/ncm(-p-p0,-pp0)0.ss.mm

x,y,z,t,u; 1/2-x,1/2-y,z,1/2-t,1/2-u; 1/2-y,x,1/2+z,u,1/2-t; y,1/2-x,1/2+z,1/2-u,t; -x,1/2+y,1/2-z,-u,-t; 1/2+x,-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,1/2+t,1/2+u; 1/2+y,-x,1/2-z,-u,1/2+t; -y,1/2+x,1/2-z,1/2+u,-t; x,1/2-y,1/2+z,u,t; 1/2-x,y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,u; y,x,z,t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k+m+n=2n h0lnn:l=2n 0kl-nn:l=2n

3096 P4/nmm(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; -x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; x,1/2-y,z,1/2+u,1/2+t; 1/2-x,y,z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,1/2+u; y,x,z,1/2+t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3097 P4/ncc(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,z,u,-t; y,1/2-x,z,-u,t; -x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,-z,-u,t; -y,1/2+x,-z,u,-t; x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,1/2-u;

0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:l+n=2n kklm0:l+m=2n

3098 P4₂/nmc(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; -x,1/2+y,-z,1/2-u,1/2-t; 1/2+x,-y,-z,1/2+u,1/2+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; x,1/2-y,z,1/2+u,1/2+t; 1/2-x,y,z,1/2-u,1/2-t; 1/2-y,1/2-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:n+n=2n -kkl0n:l+n=2n kklm0:l+m=2n

3099 P4₂/ncm(-p-p0,-pp0)00mg

x,y,z,t,u; 1/2-x,1/2-y,z,-t,-u; 1/2-y,x,1/2+z,u,-t; y,1/2-x,1/2+z,-u,t; -x,1/2+y,1/2-z,1/2-u,1/2-t; 1/2+x,-y,1/2-z,1/2+u,1/2+t; 1/2+y,1/2+x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,u; 1/2+y,-x,1/2-z,-u,t; -y,1/2+x,1/2-z,u,-t; x,1/2-y,1/2+z,1/2+u,1/2+t; 1/2-x,y,1/2+z,1/2-u,1/2-t; 1/2-y,1/2-x,z,1/2-t,1/2+u; y,x,z,1/2+t,1/2-u;

00l00:l=2n 00l00:l=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:n=2n kklm0:m=2n

3100 P4/mmm(-p-p1/2,-pp1/2)00mm

(00000;001/21/21/2)

hklmn:l+m+n=2n

3101 P4/mmm(-p-p1/2,-pp1/2)00mg

(00000;001/21/21/2)

hklmn:l+m+n=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3102 P4/nbm(-p-p1/2,-pp1/2)00mm

(00000;001/21/21/2)

hklmn:l+m+n=2n hk0mn:h+k=2n h0lnn:h=2n 0kl-nn:k=2n kklm0:k+k=2n

3103 P4/nbm(-p-p1/2,-pp1/2)00mg

(00000;001/21/21/2)

hklmn:l+m+n=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:n=2n kklm0:k+k+m=2n

3104 P4₂/mcm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; -x,y,3/4-z,1/4-u,1/4-t; x,-y,3/4-z,3/4+u,1/4+t; y,x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,1/4-u,1/4+t; -y,x,3/4-z,3/4+u,1/4-t; x,-y,1/4+z,3/4+u,3/4+t; -x,y,1/4+z,1/4-u,3/4-t; -y,-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h00nn:n+n=2n hh0m0:m=2n hk0mn:n=2n h0lnn:l+3n+3n=4n 0kl-nn:l-3n+n=4n -kkl0n:l+n=2n kklm0:l+m=2n

3105 P4₂/mcm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; -x,y,1/4-z,1/4-u,1/4-t; x,-y,1/4-z,3/4+u,1/4+t; y,x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,1/4-u,1/4+t; -y,x,3/4-z,3/4+u,1/4-t; x,-y,3/4+z,3/4+u,3/4+t; -x,y,3/4+z,1/4-u,3/4-t; -y,-x,z,1/2-t,1/2+u; y,x,z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h00nn:n+n=2n hh0m0:m=2n hk0mn:n=2n h0lnn:3l+3n+3n=4n 0kl-nn:3l-3n+n=4n -kkl0n:n=2n kklm0:m=2n

3106 P4₂/nnm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; 1/2-x,1/2-y,z,-t,1/2-u; 1/2-y,x,1/4+z,3/4+u,3/4-t; y,1/2-x,1/4+z,1/4-u,3/4+t; 1/2-x,y,3/4-z,1/4-u,1/4-t; x,1/2-y,3/4-z,3/4+u,1/4+t; y,x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; 1/2+y,-x,3/4-z,1/4-u,1/4+t; -y,1/2+x,3/4-z,3/4+u,1/4-t; 1/2+x,-y,1/4+z,3/4+u,3/4+t; -x,1/2+y,1/4+z,1/4-u,3/4-t; -y,-x,1/2+z,1/2-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h00nn:n+n=2n hh0m0:m=2n hk0mn:h+k+n=2n h0lnn:2h+l+3n+3n=4n 0kl-nn:2k+l-3n+n=4n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3107 P4₂/nnm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; 1/2-x,1/2-y,z,-t,1/2-u; 1/2-y,x,1/4+z,3/4+u,3/4-t; y,1/2-x,1/4+z,1/4-u,3/4+t; 1/2-x,y,1/4-z,1/4-u,1/4-t; x,1/2-y,1/4-z,3/4+u,1/4+t; y,x,-z,1/2+t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; 1/2+y,-x,3/4-z,1/4-u,1/4+t; -y,1/2+x,3/4-z,3/4+u,1/4-t; 1/2+x,-y,3/4+z,3/4+u,3/4+t; -x,1/2+y,3/4+z,1/4-u,3/4-t; -y,-x,z,1/2-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n h00nn:n+n=2n hh0m0:m=2n hk0mn:h+k+n=2n h0lnn:2h+3l+3n+3n=4n 0kl-nn:2k+3l-3n+n=4n -kkl0n:n=2n kklm0:k+k+m=2n

3108 P4/mbm(-p-p1/2,-pp1/2)00mm

(00000;001/21/21/2)

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n h0lnn:h=2n 0kl-nn:k=2n kklm0:k+k=2n

3109 P4/mbm(-p-p1/2,-pp1/2)00mg

(00000;001/21/21/2)

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n h0lnn:h+n+n=2n 0kl-nn:k=2n -kkl0n:n=2n kklm0:k+k+m=2n

3110 P4/nmm(-p-p1/2,-pp1/2)00mm

(00000;001/21/21/2)

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h=2n hh0m0:h+h=2n hk0mn:h+k=2n

3111 P4/nmm(-p-p1/2,-pp1/2)00mg

(00000;001/21/21/2)

hklmn:l+m+n=2n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h+k=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3112 P4₂/mnm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; 1/2-x,1/2+y,3/4-z,1/4-u,1/4-t; 1/2+x,1/2-y,3/4-z,3/4+u,1/4+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; 1/2-y,1/2-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,1/4-u,1/4+t; -y,x,3/4-z,3/4+u,1/4-t; 1/2+x,1/2-y,1/4+z,3/4+u,3/4+t; 1/2-x,1/2+y,1/4+z,1/4-u,3/4-t; 1/2-y,1/2-x,1/2+z,1/2-t,1/2+u; 1/2+y,1/2+x,1/2+z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n hk0mn:n=2n h0lnn:2h+l+3n+3n=4n 0kl-nn:2k+l-3n+n=4n -kkl0n:l+n=2n kklm0:k+k+l+m=2n

3113 P4₂/mnm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; -x,-y,z,-t,1/2-u; -y,x,1/4+z,3/4+u,3/4-t; y,-x,1/4+z,1/4-u,3/4+t; 1/2-x,1/2+y,1/4-z,1/4-u,1/4-t; 1/2+x,1/2-y,1/4-z,3/4+u,1/4+t; 1/2+y,1/2+x,-z,1/2+t,1/2-u; 1/2-y,1/2-x,-z,1/2-t,u; -x,-y,-z,-t,-u; x,y,-z,t,1/2+u; y,-x,3/4-z,1/4-u,1/4+t; -y,x,3/4-z,3/4+u,1/4-t; 1/2+x,1/2-y,3/4+z,3/4+u,3/4+t; 1/2-x,1/2+y,3/4+z,1/4-u,3/4-t; 1/2-y,1/2-x,z,1/2-t,1/2+u; 1/2+y,1/2+x,z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n hk0mn:n=2n h0lnn:2h+3l+3n+3n=4n 0kl-nn:2k+3l-3n+n=4n -kkl0n:n=2n kklm0:k+k+m=2n

3114 P4₂/ncm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; 1/2-x,1/2-y,z,-t,1/2-u; 1/2-y,x,1/4+z,3/4+u,3/4-t; y,1/2-x,1/4+z,1/4-u,3/4+t; -x,1/2+y,3/4-z,1/4-u,1/4-t; 1/2+x,-y,3/4-z,3/4+u,1/4+t; 1/2+y,1/2+x,1/2-z,1/2+t,1/2-u; -y,-x,1/2-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; 1/2+y,-x,3/4-z,1/4-u,1/4+t; -y,1/2+x,3/4-z,3/4+u,1/4-t; x,1/2-y,1/4+z,3/4+u,3/4+t; 1/2-x,y,1/4+z,1/4-u,3/4-t; 1/2-y,1/2-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n hk0mn:h+k+n=2n h0lnn:l+3n+3n=4n 0kl-nn:l-3n+n=4n -kkl0n:l+n=2n kklm0:l+m=2n

3115 P4₂/ncm(-p-p1/2,-pp1/2)0.0s.dg

(00000;001/21/21/2)

x,y,z,t,u; 1/2-x,1/2-y,z,-t,1/2-u; 1/2-y,x,1/4+z,3/4+u,3/4-t; y,1/2-x,1/4+z,1/4-u,3/4+t; -x,1/2+y,1/4-z,1/4-u,1/4-t; 1/2+x,-y,1/4-z,3/4+u,1/4+t; 1/2+y,1/2+x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,-z,-t,-u; 1/2+x,1/2+y,-z,t,1/2+u; 1/2+y,-x,3/4-z,1/4-u,1/4+t; -y,1/2+x,3/4-z,3/4+u,1/4-t; x,1/2-y,3/4+z,3/4+u,3/4+t; 1/2-x,y,3/4+z,1/4-u,3/4-t; 1/2-y,1/2-x,z,1/2-t,1/2+u; y,x,z,1/2+t,-u;

hklmn:l+m+n=2n 00l00:l=4n 00l00:l=4n 0k0-nn:k=2n h00nn:h+n+n=2n hh0m0:h+h+m=2n hk0mn:h+k+n=2n h0lnn:3l+3n+3n=4n 0kl-nn:3l-3n+n=4n -kkl0n:n=2n kklm0:m=2n

3116 I4/mmm(00p,00-q)0000

(00000;1/21/21/200)

hklmn:h+k+l=2n

3117 I4/mmm(00p,00-q)00.0s.0s. equivalent group: I4/mmm(00p,00-q)00.s0.s0. I4/mmm(00p,00-q)00.ss.ss.

(00000;1/21/21/200)

hklmn:h+k+l=2n h0lmn:n=2n 0klmn:n=2n -kklmn:n=2n kklmn:n=2n

3118 I4/mcc(00p,00-q)0000

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

hklmn:h+k+l=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l=2n kklmn:l=2n

3119 I4/mcc(00p,00-q)00.0s.0s. equivalent group: I4/mcc(00p,00-q)00.s0.s0. I4/mcc(00p,00-q)00.ss.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,u; y,-x,z,t,u; -x,y,-z,-t,1/2-u; x,-y,-z,-t,1/2-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,-t,-u; y,-x,1/2-z,-t,-u; -y,x,1/2-z,-t,-u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

hklmn:h+k+l=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:l+n=2n kklmn:l+n=2n

3120 I4/mmm(00p,00-q).0s.00.0s. equivalent group: I4/mmm(00p,00-q).s0.00.s0. I4/mmm(00p,00-q).ss.00.ss.

(00000;1/21/21/200)

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n -kklmn:n=2n kklmn:n=2n

3121 I4/mmm(00p,00-q).0s.0.0s.0 equivalent group: I4/mmm(00p,00-q).s0.0.s0.0 I4/mmm(00p,00-q).ss.0.ss.0

(00000;1/21/21/200)

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:n=2n 0klmn:n=2n

3122 I4/mmm(00p,00-q).0s.0.s0.ss. equivalent group: I4/mmm(00p,00-q).0s.0.ss.s0. I4/mmm(00p,00-q).s0.0.0s.ss. I4/mmm(00p,00-q).s0.0.ss.0s. I4/mmm(00p,00-q).ss.0.0s.s0. I4/mmm(00p,00-q).ss.0.s0.0s.

(00000;1/21/21/200)

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:m=2n 0klmn:m=2n -kklmn:m+n=2n kklmn:m+n=2n

3123 I4/mcc(00p,00-q).0s.00.0s. equivalent group: I4/mcc(00p,00-q).s0.00.s0. I4/mcc(00p,00-q).ss.00.ss.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,-t,-u; x,-y,-z,-t,-u; y,x,-z,-t,1/2-u; -y,-x,-z,-t,1/2-u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,-t,-u; y,-x,1/2-z,-t,1/2-u; -y,x,1/2-z,-t,1/2-u; x,-y,1/2+z,t,u; -x,y,1/2+z,t,u; -y,-x,1/2+z,t,1/2+u; y,x,1/2+z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:l=2n 0klmn:l=2n -kklmn:l+n=2n kklmn:l+n=2n

3124 I4/mcc(00p,00-q).0s.0.0s.0 equivalent group: I4/mcc(00p,00-q).s0.0.s0.0 I4/mcc(00p,00-q).ss.0.ss.0

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,-t,1/2-u; x,-y,-z,-t,1/2-u; y,x,-z,-t,-u; -y,-x,-z,-t,-u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,-t,-u; y,-x,1/2-z,-t,1/2-u; -y,x,1/2-z,-t,1/2-u; x,-y,1/2+z,t,1/2+u; -x,y,1/2+z,t,1/2+u; -y,-x,1/2+z,t,u; y,x,1/2+z,t,u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:l=2n kklmn:l=2n

3125 I4/mcc(00p,00-q).0s.0.s0.ss. equivalent group: I4/mcc(00p,00-q).0s.0.ss.s0. I4/mcc(00p,00-q).s0.0.0s.ss. I4/mcc(00p,00-q).s0.0.ss.0s. I4/mcc(00p,00-q).ss.0.0s.s0. I4/mcc(00p,00-q).ss.0.s0.0s.

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,t,u; -y,x,z,t,1/2+u; y,-x,z,t,1/2+u; -x,y,-z,1/2-t,-u; x,-y,-z,1/2-t,-u; y,x,-z,1/2-t,1/2-u; -y,-x,-z,1/2-t,1/2-u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,-t,-u; y,-x,1/2-z,-t,1/2-u; -y,x,1/2-z,-t,1/2-u; x,-y,1/2+z,1/2+t,u; -x,y,1/2+z,1/2+t,u; -y,-x,1/2+z,1/2+t,1/2+u; y,x,1/2+z,1/2+t,1/2+u;

hklmn:h+k+l=2n 00lmn:n=2n 00lmn:n=2n h0lmn:l+m=2n 0klmn:l+m=2n -kklmn:l+m+n=2n kklmn:l+m+n=2n

3126 I4/amd(00p,00-q)0000 equivalent group: I4/amd(00p,00-q).0s.00.0s. I4/amd(00p,00-q).s0.00.s0. I4/amd(00p,00-q).ss.00.ss.

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; -x,y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 3/4+y,1/4+x,1/4-z,-t,-u; 3/4-y,3/4-x,1/4-z,-t,-u; -x,-y,-z,-t,-u; 1/2+x,y,-z,-t,-u; 3/4+y,3/4-x,1/4-z,-t,-u; 3/4-y,1/4+x,1/4-z,-t,-u; x,-y,z,t,u; 1/2-x,y,z,t,u; 1/4-y,3/4-x,3/4+z,t,u; 1/4+y,1/4+x,3/4+z,t,u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n h0000:h=2n hh000:h+h=2n hk000:h=2n -kklmn:3k+k+3l=4n kklmn:k+k+3l=4n

3127 I4/amd(00p,00-q)00.0s.0s. equivalent group: I4/amd(00p,00-q)00.s0.s0. I4/amd(00p,00-q)00.ss.ss. I4/amd(00p,00-q).0s.0.0s.0 I4/amd(00p,00-q).0s.0.s0.ss. I4/amd(00p,00-q).0s.0.ss.s0. I4/amd(00p,00-q).s0.0.0s.ss. I4/amd(00p,00-q).s0.0.s0.0 I4/amd(00p,00-q).s0.0.ss.0s. I4/amd(00p,00-q).ss.0.0s.s0. I4/amd(00p,00-q).ss.0.s0.0s. I4/amd(00p,00-q).ss.0.ss.0

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; -x,y,-z,-t,1/2-u; 1/2+x,-y,-z,-t,1/2-u; 3/4+y,1/4+x,1/4-z,-t,1/2-u; 3/4-y,3/4-x,1/4-z,-t,1/2-u; -x,-y,-z,-t,-u; 1/2+x,y,-z,-t,-u; 3/4+y,3/4-x,1/4-z,-t,-u; 3/4-y,1/4+x,1/4-z,-t,-u; x,-y,z,t,1/2+u; 1/2-x,y,z,t,1/2+u; 1/4-y,3/4-x,3/4+z,t,1/2+u; 1/4+y,1/4+x,3/4+z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n h0000:h=2n hh000:h+h=2n hk000:h=2n h0lmn:n=2n 0klmn:n=2n -kklmn:3k+k+3l+2n=4n kklmn:k+k+3l+2n=4n

3128 I4/acd(00p,00-q)0000 equivalent group: I4/acd(00p,00-q).0s.00.0s. I4/acd(00p,00-q).s0.00.s0. I4/acd(00p,00-q).ss.00.ss.

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; -x,y,-z,-t,-u; 1/2+x,-y,-z,-t,-u; 3/4+y,1/4+x,1/4-z,-t,-u; 3/4-y,3/4-x,1/4-z,-t,-u; -x,-y,1/2-z,-t,-u; 1/2+x,y,1/2-z,-t,-u; 3/4+y,3/4-x,3/4-z,-t,-u; 3/4-y,1/4+x,3/4-z,-t,-u; x,-y,1/2+z,t,u; 1/2-x,y,1/2+z,t,u; 1/4-y,3/4-x,1/4+z,t,u; 1/4+y,1/4+x,1/4+z,t,u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n h0000:h=2n hh000:h+h=2n hk000:h=2n h0lmn:l=2n 0klmn:l=2n -kklmn:3k+k+l=4n kklmn:k+k+l=4n

3129 I4/acd(00p,00-q)00.0s.0s. equivalent group: I4/acd(00p,00-q)00.s0.s0. I4/acd(00p,00-q)00.ss.ss. I4/acd(00p,00-q).0s.0.0s.0 I4/acd(00p,00-q).0s.0.s0.ss. I4/acd(00p,00-q).0s.0.ss.s0. I4/acd(00p,00-q).s0.0.0s.ss. I4/acd(00p,00-q).s0.0.s0.0 I4/acd(00p,00-q).s0.0.ss.0s. I4/acd(00p,00-q).ss.0.0s.s0. I4/acd(00p,00-q).ss.0.s0.0s. I4/acd(00p,00-q).ss.0.ss.0

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,t,u; 1/4-y,1/4+x,3/4+z,t,u; 1/4+y,3/4-x,3/4+z,t,u; -x,y,-z,-t,1/2-u; 1/2+x,-y,-z,-t,1/2-u; 3/4+y,1/4+x,1/4-z,-t,1/2-u; 3/4-y,3/4-x,1/4-z,-t,1/2-u; -x,-y,1/2-z,-t,-u; 1/2+x,y,1/2-z,-t,-u; 3/4+y,3/4-x,3/4-z,-t,-u; 3/4-y,1/4+x,3/4-z,-t,-u; x,-y,1/2+z,t,1/2+u; 1/2-x,y,1/2+z,t,1/2+u; 1/4-y,3/4-x,1/4+z,t,1/2+u; 1/4+y,1/4+x,1/4+z,t,1/2+u;

hklmn:h+k+l=2n 00lmn:3l=4n 00lmn:3l=4n h0000:h=2n hh000:h+h=2n hk000:h=2n h0lmn:l+n=2n 0klmn:l+n=2n -kklmn:3k+k+l+2n=4n kklmn:k+k+l+2n=4n

3130 I4/mmm(0-p0,p00)00mm

(00000;1/21/21/200)

hklmn:h+k+l=2n

3131 I4/mcc(0-p0,p00)00mm

(00000;1/21/21/200)

hklmn:h+k+l=2n h0l0n:l=2n 0klm0:l=2n -kklnn:l=2n hhl-nn:l=2n

3132 I4/mmm(0-p0,p00)0.ss.gg

(00000;1/21/21/200)

hklmn:h+k+l=2n hk0mn:m+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

3133 I4/mcc(0-p0,p00)0.ss.gg

(00000;1/21/21/200)

hklmn:h+k+l=2n hk0mn:m+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

3134 I4₁/bmd(0-p0,p00)00mm

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,-t,-u; 3/4-y,1/4+x,1/4+z,-u,t; 1/4+y,1/4-x,1/4+z,u,-t; -x,1/2+y,-z,t,-u; x,-y,-z,-t,u; 1/4+y,3/4+x,3/4-z,-u,-t; 3/4-y,3/4-x,3/4-z,u,t; -x,-y,-z,-t,-u; x,1/2+y,-z,t,u; 1/4+y,3/4-x,3/4-z,u,-t; 3/4-y,3/4+x,3/4-z,-u,t; x,1/2-y,z,-t,u; -x,y,z,t,-u; 3/4-y,1/4-x,1/4+z,u,t; 1/4+y,1/4+x,1/4+z,-u,-t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n 0k0m0:k=2n kk0m-m:k+k=2n hk0mn:k=2n -kklnn:k+3k+l=4n hhl-nn:h+h+l=4n

3135 I4₁/bbd(0-p0,p00)00mm

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,-t,-u; 3/4-y,1/4+x,1/4+z,-u,t; 1/4+y,1/4-x,1/4+z,u,-t; 1/2-x,y,-z,t,-u; 1/2+x,1/2-y,-z,-t,u; 3/4+y,1/4+x,3/4-z,-u,-t; 1/4-y,1/4-x,3/4-z,u,t; -x,-y,-z,-t,-u; x,1/2+y,-z,t,u; 1/4+y,3/4-x,3/4-z,u,-t; 3/4-y,3/4+x,3/4-z,-u,t; 1/2+x,-y,z,-t,u; 1/2-x,1/2+y,z,t,-u; 1/4-y,3/4-x,1/4+z,u,t; 3/4+y,3/4+x,1/4+z,-u,-t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n h000n:h=2n kk0m-m:k+k=2n hk0mn:k=2n h0l0n:h=2n 0klm0:k=2n -kklnn:3k+k+l=4n hhl-nn:3h+3h+l=4n

3136 I4₁/bmd(0-p0,p00)0.ss.gg

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,1/2-t,1/2-u; 3/4-y,1/4+x,1/4+z,1/2-u,t; 1/4+y,1/4-x,1/4+z,u,1/2-t; -x,1/2+y,-z,t,1/2-u; x,-y,-z,1/2-t,u; 1/4+y,3/4+x,3/4-z,1/2-u,1/2-t; 3/4-y,3/4-x,3/4-z,u,t; -x,-y,-z,-t,-u; x,1/2+y,-z,1/2+t,1/2+u; 1/4+y,3/4-x,3/4-z,1/2+u,-t; 3/4-y,3/4+x,3/4-z,-u,1/2+t; x,1/2-y,z,-t,1/2+u; -x,y,z,1/2+t,-u; 3/4-y,1/4-x,1/4+z,1/2+u,1/2+t; 1/4+y,1/4+x,1/4+z,-u,-t;

3137 I4₁/bbd(0-p0,p00)0.ss.gg

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,1/2-t,1/2-u; 3/4-y,1/4+x,1/4+z,1/2-u,t; 1/4+y,1/4-x,1/4+z,u,1/2-t; 1/2-x,y,-z,t,1/2-u; 1/2+x,1/2-y,-z,1/2-t,u; 3/4+y,1/4+x,3/4-z,1/2-u,1/2-t; 1/4-y,1/4-x,3/4-z,u,t; -x,-y,-z,-t,-u; x,1/2+y,-z,1/2+t,1/2+u; 1/4+y,3/4-x,3/4-z,1/2+u,-t; 3/4-y,3/4+x,3/4-z,-u,1/2+t; 1/2+x,-y,z,-t,1/2+u; 1/2-x,1/2+y,z,1/2+t,-u; 1/4-y,3/4-x,1/4+z,1/2+u,1/2+t; 3/4+y,3/4+x,1/4+z,-u,-t;

3138 I4/mmm(0-p0,p00)0.ss.mm

(00000;1/21/21/200)

hklmn:h+k+l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:m+n=2n

3139 I4/mcc(0-p0,p00)0.ss.mm

(00000;1/21/21/200)

hklmn:h+k+l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n hk0mn:m+n=2n h0l0n:l=2n 0klm0:l=2n -kklnn:l=2n hhl-nn:l=2n

3140 I4/mmm(0-p0,p00)00gg

(00000;1/21/21/200)

hklmn:h+k+l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n h0l0n:n=2n 0klm0:m=2n -kklnn:n+n=2n

3141 I4/mcc(0-p0,p00)00gg

(00000;1/21/21/200)

hklmn:h+k+l=2n 0k0m0:m=2n h000n:n=2n h-h0nn:n+n=2n h0l0n:l+n=2n 0klm0:l+m=2n -kklnn:l+n+n=2n hhl-nn:l=2n

3142 I4₁/bmd(0-p0,p00)0.ss.mm

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,1/2-t,1/2-u; 3/4-y,1/4+x,1/4+z,1/2-u,t; 1/4+y,1/4-x,1/4+z,u,1/2-t; -x,1/2+y,-z,1/2+t,-u; x,-y,-z,-t,1/2+u; 1/4+y,3/4+x,3/4-z,-u,-t; 3/4-y,3/4-x,3/4-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,1/2+y,-z,1/2+t,1/2+u; 1/4+y,3/4-x,3/4-z,1/2+u,-t; 3/4-y,3/4+x,3/4-z,-u,1/2+t; x,1/2-y,z,1/2-t,u; -x,y,z,t,1/2-u; 3/4-y,1/4-x,1/4+z,u,t; 1/4+y,1/4+x,1/4+z,1/2-u,1/2-t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n 0k0m0:k+m=2n h000n:n=2n kk0m-m:k+k=2n h-h0nn:n+n=2n hk0mn:k+m+n=2n -kklnn:k+3k+l=4n hhl-nn:h+h+l=4n

3143 I4₁/bbd(0-p0,p00)0.ss.mm

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,1/2-t,1/2-u; 3/4-y,1/4+x,1/4+z,1/2-u,t; 1/4+y,1/4-x,1/4+z,u,1/2-t; 1/2-x,y,-z,1/2+t,-u; 1/2+x,1/2-y,-z,-t,1/2+u; 3/4+y,1/4+x,3/4-z,-u,-t; 1/4-y,1/4-x,3/4-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,1/2+y,-z,1/2+t,1/2+u; 1/4+y,3/4-x,3/4-z,1/2+u,-t; 3/4-y,3/4+x,3/4-z,-u,1/2+t; 1/2+x,-y,z,1/2-t,u; 1/2-x,1/2+y,z,t,1/2-u; 1/4-y,3/4-x,1/4+z,u,t; 3/4+y,3/4+x,1/4+z,1/2-u,1/2-t;

hklmn:h+k+l=2n 00l00:l=4n 00l00:l=4n 0k0m0:m=2n h000n:h+n=2n kk0m-m:k+k=2n h-h0nn:n+n=2n hk0mn:k+m+n=2n h0l0n:h=2n 0klm0:k=2n -kklnn:3k+k+l=4n hhl-nn:3h+3h+l=4n

3144 I4₁/bmd(0-p0,p00)00gg

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,-t,-u; 3/4-y,1/4+x,1/4+z,-u,t; 1/4+y,1/4-x,1/4+z,u,-t; -x,1/2+y,-z,1/2+t,1/2-u; x,-y,-z,1/2-t,1/2+u; 1/4+y,3/4+x,3/4-z,1/2-u,1/2-t; 3/4-y,3/4-x,3/4-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,1/2+y,-z,t,u; 1/4+y,3/4-x,3/4-z,u,-t; 3/4-y,3/4+x,3/4-z,-u,t; x,1/2-y,z,1/2-t,1/2+u; -x,y,z,1/2+t,1/2-u; 3/4-y,1/4-x,1/4+z,1/2+u,1/2+t; 1/4+y,1/4+x,1/4+z,1/2-u,1/2-t;

3145 I4₁/bbd(0-p0,p00)00gg

(00000;1/21/21/200)

x,y,z,t,u; -x,1/2-y,z,-t,-u; 3/4-y,1/4+x,1/4+z,-u,t; 1/4+y,1/4-x,1/4+z,u,-t; 1/2-x,y,-z,1/2+t,1/2-u; 1/2+x,1/2-y,-z,1/2-t,1/2+u; 3/4+y,1/4+x,3/4-z,1/2-u,1/2-t; 1/4-y,1/4-x,3/4-z,1/2+u,1/2+t; -x,-y,-z,-t,-u; x,1/2+y,-z,t,u; 1/4+y,3/4-x,3/4-z,u,-t; 3/4-y,3/4+x,3/4-z,-u,t; 1/2+x,-y,z,1/2-t,1/2+u; 1/2-x,1/2+y,z,1/2+t,1/2-u; 1/4-y,3/4-x,1/4+z,1/2+u,1/2+t; 3/4+y,3/4+x,1/4+z,1/2-u,1/2-t;

3146 I4/mmm(pp0,p-p0)00mm

(00000;1/21/21/200)

hklmn:h+k+l=2n

3147 I4/mcc(pp0,p-p0)00mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,-u,-t; x,-y,-z,u,t; y,x,-z,t,-u; -y,-x,-z,-t,u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; x,-y,1/2+z,u,t; -x,y,1/2+z,-u,-t; -y,-x,1/2+z,-t,u; y,x,1/2+z,t,-u;

hklmn:h+k+l=2n h0lnn:l=2n 0kl-nn:l=2n -kkl0n:l=2n kklm0:l=2n

3148 I4/mmm(pp0,p-p0)0.ss.mg

(00000;1/21/21/200)

hklmn:h+k+l=2n hk0mn:m+n=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3149 I4/mcc(pp0,p-p0)0.ss.mg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,-z,1/2-u,1/2-t; x,-y,-z,u,t; y,x,-z,t,1/2-u; -y,-x,-z,1/2-t,u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; x,-y,1/2+z,1/2+u,1/2+t; -x,y,1/2+z,-u,-t; -y,-x,1/2+z,-t,1/2+u; y,x,1/2+z,1/2+t,-u;

hklmn:h+k+l=2n hk0mn:m+n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:l+n=2n kklm0:l+m=2n

3150 I4/mmm(pp0,p-p0)00mg

(00000;1/21/21/200)

hklmn:h+k+l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:n+n=2n -kkl0n:n=2n kklm0:m=2n

3151 I4/mcc(pp0,p-p0)00mg

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; -x,y,-z,1/2-u,1/2-t; x,-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,1/2-u; -y,-x,-z,1/2-t,1/2+u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,t,u; y,-x,1/2-z,-u,t; -y,x,1/2-z,u,-t; x,-y,1/2+z,1/2+u,1/2+t; -x,y,1/2+z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,1/2+u; y,x,1/2+z,1/2+t,1/2-u;

hklmn:h+k+l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:l+n=2n kklm0:l+m=2n

3152 I4/mmm(pp0,p-p0)0.ss.mm

(00000;1/21/21/200)

hklmn:h+k+l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:m+n=2n

3153 I4/mcc(pp0,p-p0)0.ss.mm

(00000;1/21/21/200)

x,y,z,t,u; -x,-y,z,1/2-t,1/2-u; -y,x,z,u,1/2-t; y,-x,z,1/2-u,t; -x,y,-z,-u,-t; x,-y,-z,1/2+u,1/2+t; y,x,-z,1/2+t,-u; -y,-x,-z,-t,1/2+u; -x,-y,1/2-z,-t,-u; x,y,1/2-z,1/2+t,1/2+u; y,-x,1/2-z,-u,1/2+t; -y,x,1/2-z,1/2+u,-t; x,-y,1/2+z,u,t; -x,y,1/2+z,1/2-u,1/2-t; -y,-x,1/2+z,1/2-t,u; y,x,1/2+z,t,1/2-u;

hklmn:h+k+l=2n h00nn:n+n=2n hh0m0:m=2n h-h00n:n=2n hk0mn:m+n=2n h0lnn:l=2n 0kl-nn:l=2n -kkl0n:l=2n kklm0:l=2n

3154 I4/amd(pp0,p-p0)00mm equivalent group: I4/amd(pp0,p-p0)0.ss.mg

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; -x,y,-z,-u,-t; 1/2+x,-y,-z,u,t; 3/4+y,1/4+x,1/4-z,t,-u; 3/4-y,3/4-x,1/4-z,-t,u; -x,-y,-z,-t,-u; 1/2+x,y,-z,t,u; 3/4+y,3/4-x,1/4-z,-u,t; 3/4-y,1/4+x,1/4-z,u,-t; x,-y,z,u,t; 1/2-x,y,z,-u,-t; 1/4-y,3/4-x,3/4+z,-t,u; 1/4+y,1/4+x,3/4+z,t,-u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h00nn:h=2n hh0m0:h+h=2n hk0mn:h=2n -kkl0n:3k+k+3l=4n kklm0:k+k+3l=4n

3155 I4/acd(pp0,p-p0)00mm equivalent group: I4/acd(pp0,p-p0)0.ss.mg

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; -x,y,-z,-u,-t; 1/2+x,-y,-z,u,t; 3/4+y,1/4+x,1/4-z,t,-u; 3/4-y,3/4-x,1/4-z,-t,u; -x,-y,1/2-z,-t,-u; 1/2+x,y,1/2-z,t,u; 3/4+y,3/4-x,3/4-z,-u,t; 3/4-y,1/4+x,3/4-z,u,-t; x,-y,1/2+z,u,t; 1/2-x,y,1/2+z,-u,-t; 1/4-y,3/4-x,1/4+z,-t,u; 1/4+y,1/4+x,1/4+z,t,-u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h00nn:h=2n hh0m0:h+h=2n hk0mn:h=2n h0lnn:l=2n 0kl-nn:l=2n -kkl0n:3k+k+l=4n kklm0:k+k+l=4n

3156 I4/amd(pp0,p-p0)00mg equivalent group: I4/amd(pp0,p-p0)0.ss.mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; -x,y,-z,1/2-u,1/2-t; 1/2+x,-y,-z,1/2+u,1/2+t; 3/4+y,1/4+x,1/4-z,1/2+t,1/2-u; 3/4-y,3/4-x,1/4-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; 1/2+x,y,-z,t,u; 3/4+y,3/4-x,1/4-z,-u,t; 3/4-y,1/4+x,1/4-z,u,-t; x,-y,z,1/2+u,1/2+t; 1/2-x,y,z,1/2-u,1/2-t; 1/4-y,3/4-x,3/4+z,1/2-t,1/2+u; 1/4+y,1/4+x,3/4+z,1/2+t,1/2-u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h=2n h0lnn:n+n=2n -kkl0n:3k+k+3l+2n=4n kklm0:k+k+3l+2m=4n

3157 I4/acd(pp0,p-p0)00mg equivalent group: I4/acd(pp0,p-p0)0.ss.mm

(00000;1/21/21/200)

x,y,z,t,u; 1/2-x,-y,z,-t,-u; 1/4-y,1/4+x,3/4+z,u,-t; 1/4+y,3/4-x,3/4+z,-u,t; -x,y,-z,1/2-u,1/2-t; 1/2+x,-y,-z,1/2+u,1/2+t; 3/4+y,1/4+x,1/4-z,1/2+t,1/2-u; 3/4-y,3/4-x,1/4-z,1/2-t,1/2+u; -x,-y,1/2-z,-t,-u; 1/2+x,y,1/2-z,t,u; 3/4+y,3/4-x,3/4-z,-u,t; 3/4-y,1/4+x,3/4-z,u,-t; x,-y,1/2+z,1/2+u,1/2+t; 1/2-x,y,1/2+z,1/2-u,1/2-t; 1/4-y,3/4-x,1/4+z,1/2-t,1/2+u; 1/4+y,1/4+x,1/4+z,1/2+t,1/2-u;

hklmn:h+k+l=2n 00l00:3l=4n 00l00:3l=4n h00nn:h+n+n=2n hh0m0:h+h+m=2n h-h00n:n=2n hk0mn:h=2n h0lnn:l+n+n=2n 0kl-nn:l=2n -kkl0n:3k+k+l+2n=4n kklm0:k+k+l+2m=4n

3158 I4/mmm(p+1/2p+1/21,p+1/2-p+1/20)00mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,-z,-u,-t; -y,-x,-z,u,t; x,-y,-z,t,-u; -x,y,-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; -y,-x,z,u,t; y,x,z,-u,-t; -x,y,z,-t,u; x,-y,z,t,-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n

3159 I4/mmm(p+1/2p+1/21,p+1/2-p+1/20)00mg

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,-z,1/2-u,1/2-t; -y,-x,-z,1/2+u,1/2+t; x,-y,-z,1/2+t,1/2-u; -x,y,-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; -y,-x,z,1/2+u,1/2+t; y,x,z,1/2-u,1/2-t; -x,y,z,1/2-t,1/2+u; x,-y,z,1/2+t,1/2-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n h-h0nn:n+n=2n h00m0:m=2n 0k00n:n=2n -kklnn:n+n=2n 0kl0n:n=2n h0lm0:m=2n

3160 I4/mcc(p+1/2p+1/21,p+1/2-p+1/20)00mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; x,-y,1/2-z,t,-u; -x,y,1/2-z,-t,u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; -y,-x,1/2+z,u,t; y,x,1/2+z,-u,-t; -x,y,1/2+z,-t,u; x,-y,1/2+z,t,-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n -kklnn:l=2n hhl-nn:l=2n 0kl0n:l=2n h0lm0:l=2n

3161 I4/mcc(p+1/2p+1/21,p+1/2-p+1/20)00mg

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,1/2+u,1/2+t; x,-y,1/2-z,1/2+t,1/2-u; -x,y,1/2-z,1/2-t,1/2+u; -x,-y,-z,-t,-u; x,y,-z,t,u; y,-x,-z,-u,t; -y,x,-z,u,-t; -y,-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,1/2-u,1/2-t; -x,y,1/2+z,1/2-t,1/2+u; x,-y,1/2+z,1/2+t,1/2-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n h-h0nn:n+n=2n h00m0:m=2n 0k00n:n=2n -kklnn:l+n+n=2n hhl-nn:l=2n 0kl0n:l+n=2n h0lm0:l+m=2n

3162 I4/mcc(p+1/2p+1/21,p+1/2-p+1/20)0.ss.mg

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,-z,-u,-t; -y,-x,-z,u,t; x,-y,-z,t,-u; -x,y,-z,-t,u; -x,-y,1/2-z,1/2-t,1/2-u; x,y,1/2-z,1/2+t,1/2+u; y,-x,1/2-z,1/2-u,1/2+t; -y,x,1/2-z,1/2+u,1/2-t; -y,-x,1/2+z,1/2+u,1/2+t; y,x,1/2+z,1/2-u,1/2-t; -x,y,1/2+z,1/2-t,1/2+u; x,-y,1/2+z,1/2+t,1/2-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n hk0mn:m+n=2n -kklnn:l+n+n=2n hhl-nn:l=2n 0kl0n:l+n=2n h0lm0:l+m=2n

3163 I4/mcc(p+1/2p+1/21,p+1/2-p+1/20)0.ss.mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,-z,1/2-u,1/2-t; -y,-x,-z,1/2+u,1/2+t; x,-y,-z,1/2+t,1/2-u; -x,y,-z,1/2-t,1/2+u; -x,-y,1/2-z,1/2-t,1/2-u; x,y,1/2-z,1/2+t,1/2+u; y,-x,1/2-z,1/2-u,1/2+t; -y,x,1/2-z,1/2+u,1/2-t; -y,-x,1/2+z,u,t; y,x,1/2+z,-u,-t; -x,y,1/2+z,-t,u; x,-y,1/2+z,t,-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n h-h0nn:n+n=2n h00m0:m=2n 0k00n:n=2n hk0mn:m+n=2n -kklnn:l=2n hhl-nn:l=2n 0kl0n:l=2n h0lm0:l=2n

3164 I4/mmm(p+1/2p+1/21,p+1/2-p+1/20)0.ss.mg

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,1/2-z,-u,-t; -y,-x,1/2-z,u,t; x,-y,1/2-z,t,-u; -x,y,1/2-z,-t,u; -x,-y,1/2-z,1/2-t,1/2-u; x,y,1/2-z,1/2+t,1/2+u; y,-x,1/2-z,1/2-u,1/2+t; -y,x,1/2-z,1/2+u,1/2-t; -y,-x,z,1/2+u,1/2+t; y,x,z,1/2-u,1/2-t; -x,y,z,1/2-t,1/2+u; x,-y,z,1/2+t,1/2-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n hk0mn:m+n=2n -kklnn:n+n=2n 0kl0n:n=2n h0lm0:m=2n

3165 I4/mmm(p+1/2p+1/21,p+1/2-p+1/20)0.ss.mm

(00000;1/201/201/2;01/21/21/20;1/21/201/21/2)

x,y,z,t,u; -x,-y,z,-t,-u; -y,x,z,u,-t; y,-x,z,-u,t; y,x,1/2-z,1/2-u,1/2-t; -y,-x,1/2-z,1/2+u,1/2+t; x,-y,1/2-z,1/2+t,1/2-u; -x,y,1/2-z,1/2-t,1/2+u; -x,-y,1/2-z,1/2-t,1/2-u; x,y,1/2-z,1/2+t,1/2+u; y,-x,1/2-z,1/2-u,1/2+t; -y,x,1/2-z,1/2+u,1/2-t; -y,-x,z,u,t; y,x,z,-u,-t; -x,y,z,-t,u; x,-y,z,t,-u;

hklmn:h+l+n=2n hklmn:k+l+m=2n hklmn:h+k+m+n=2n h-h0nn:n+n=2n h00m0:m=2n 0k00n:n=2n hk0mn:m+n=2n