Tetragonal Superspace Groups

copyright (c) Jul. 1999 by Akiji Yamamoto

480 P4(00p)0

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

481 P4(00p)q equivalent group: P4(00p)q

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

00lm:m=2n 00lm:m=4n 00lm:3m=4n

482 P4(00p)s

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

00lm:m=2n 00lm:m=2n

483 P41(00p)0 equivalent group: P41(00p)q P41(00p)s P41(00p)q P4(00p)0 P4(00p)q P4(00p)s P4(00p)q

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

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

484 P42(00p)0 equivalent group: P42(00p)s

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

00lm:l=2n 00lm:l=2n

485 P42(00p)q equivalent group: P42(00p)q

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

00lm:m=2n 00lm:2l+m=4n 00lm:2l+3m=4n

486 P4(1/21/2p)0

(0000;1/21/201/2)

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

hklm:h+k+m=2n

487 P41(1/21/2p)0 equivalent group: P4(1/21/2p)0 P41(1/21/2p)q P4(1/21/2p)q

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=4n 00lm:3l=4n

488 P42(1/21/2p)0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n

489 P4(1/21/2p)q

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:3m=4n 00lm:3m=4n

490 P42(1/21/2p)q

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+3m=4n 00lm:2l+3m=4n

491 I4(00-p)0

(0000;1/21/21/20)

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

hklm:h+k+l=2n

492 I4(00-p)q equivalent group: I4(00-p)q

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=4n 00lm:3m=4n

493 I4(00-p)s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n

494 I41(00-p)0 equivalent group: I41(00-p)s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:l=4n 00lm:l=4n

495 I41(00-p)q equivalent group: I41(00-p)q

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:l+m=4n 00lm:l+3m=4n

496 P-4(00p)0

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

497 P-4(1/21/2p)0

(0000;1/21/201/2)

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

hklm:h+k+m=2n

498 I-4(00-p)0

(0000;1/21/21/20)

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

hklm:h+k+l=2n

499 P4/m(00p)00

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

500 P4/m(00p)s0

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

00lm:m=2n 00lm:m=2n

501 P42/m(00p)00 equivalent group: P42/m(00p)s0

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

00lm:l=2n 00lm:l=2n

502 P4/n(00p)00

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

hk00:h+k=2n

503 P4/n(00p)s0

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

00lm:m=2n 00lm:m=2n hk00:h+k=2n

504 P42/n(00p)00 equivalent group: P42/n(00p)s0

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

00lm:l=2n 00lm:l=2n hk00:h+k=2n

505 P4/m(1/21/2p)00

(0000;1/21/201/2)

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

hklm:h+k+m=2n

506 P42/m(1/21/2p)00

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n

507 P4/n(1/21/2p)q0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:3m=4n 00lm:3m=4n hk00:k=2n

508 P42/n(1/21/2p)q0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+3m=4n 00lm:2l+3m=4n hk00:k=2n

509 I4/m(00-p)00

(0000;1/21/21/20)

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

hklm:h+k+l=2n

510 I4/m(00-p)s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n

511 I4/a(00-p)00 equivalent group: I4/a(00-p)s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n hk00:h=2n

512 P422(00p)000

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

513 P422(00p)q00 equivalent group: P422(00p)q00

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

00lm:m=2n 00lm:m=4n 00lm:3m=4n

514 P422(00p)s00

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

00lm:m=2n 00lm:m=2n

515 P4122(00p)000 equivalent group: P4122(00p)q00 P4122(00p)s00 P4122(00p)q00 P422(00p)000 P422(00p)q00 P422(00p)s00 P422(00p)q00

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

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

516 P4222(00p)000 equivalent group: P4222(00p)s00

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

00lm:l=2n 00lm:l=2n

517 P4222(00p)q00 equivalent group: P4222(00p)q00

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

00lm:m=2n 00lm:2l+m=4n 00lm:2l+3m=4n

518 P42121(00p)000

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

0k00:k=2n h000:h=2n hh00:h+h=2n

519 P42121(00p)q00 equivalent group: P42121(00p)q00

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

00lm:m=2n 00lm:m=4n 00lm:3m=4n 0k00:k=2n h000:h=2n hh00:h+h=2n

520 P42121(00p)s00

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n

521 P412121(00p)000 equivalent group: P412121(00p)q00 P412121(00p)s00 P412121(00p)q00 P42121(00p)000 P42121(00p)q00 P42121(00p)s00 P42121(00p)q00

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

00lm:l=2n 00lm:l=4n 00lm:3l=4n 0k00:k=2n h000:h=2n hh00:h+h=2n

522 P422121(00p)000 equivalent group: P422121(00p)s00

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n

523 P422121(00p)q00 equivalent group: P422121(00p)q00

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

00lm:m=2n 00lm:2l+m=4n 00lm:2l+3m=4n 0k00:k=2n h000:h=2n hh00:h+h=2n

524 P422(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n

525 P4122(1/21/2p)000 equivalent group: P422(1/21/2p)000 P4122(1/21/2p)q00 P422(1/21/2p)q00

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=4n 00lm:3l=4n

526 P4222(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n

527 P422(1/21/2p)q00

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n hh00:h+h=2n 0k00:k=2n

528 P4222(1/21/2p)q00

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n hh00:h+h=2n 0k00:k=2n

529 I422(00-p)000

(0000;1/21/21/20)

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

hklm:h+k+l=2n

530 I422(00-p)q00 equivalent group: I422(00-p)q00

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=4n 00lm:3m=4n

531 I422(00-p)s00

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n

532 I42121(00-p)000 equivalent group: I42121(00-p)s00

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n h000:h=2n hh00:h+h=2n

533 I42121(00-p)q00 equivalent group: I42121(00-p)q00

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:3l+m=4n 00lm:3l+3m=4n h000:h=2n hh00:h+h=2n

534 P4mm(00p)000

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

535 P4mm(00p)s0s

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

00lm:m=2n 00lm:m=2n -kklm:m=2n kklm:m=2n

536 P42mc(00p)000 equivalent group: P42mc(00p)s0s

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

00lm:l=2n 00lm:l=2n -kklm:l=2n kklm:l=2n

537 P4mm(00p)0ss

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

h0lm:m=2n 0klm:m=2n -kklm:m=2n kklm:m=2n

538 P4mm(00p)ss0

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

00lm:m=2n 00lm:m=2n h0lm:m=2n 0klm:m=2n

539 P42mc(00p)0ss equivalent group: P42mc(00p)ss0

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

00lm:l=2n 00lm:l=2n h0lm:m=2n 0klm:m=2n -kklm:l+m=2n kklm:l+m=2n

540 P4cc(00p)000 equivalent group: P4cc(00p)0ss

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

h0lm:l=2n 0klm:l=2n -kklm:l=2n kklm:l=2n

541 P4cc(00p)s0s equivalent group: P4cc(00p)ss0

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

00lm:m=2n 00lm:m=2n h0lm:l=2n 0klm:l=2n -kklm:l+m=2n kklm:l+m=2n

542 P42cm(00p)000 equivalent group: P42cm(00p)ss0

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

00lm:l=2n 00lm:l=2n h0lm:l=2n 0klm:l=2n

543 P42cm(00p)s0s equivalent group: P42cm(00p)0ss

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

00lm:l+m=2n 00lm:l+m=2n h0lm:l=2n 0klm:l=2n -kklm:m=2n kklm:m=2n

544 P4bm(00p)000

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

h0lm:h=2n 0klm:k=2n kklm:k+k=2n

545 P4bm(00p)s0s

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

00lm:m=2n 00lm:m=2n h0lm:h=2n 0klm:k=2n -kklm:m=2n kklm:k+k+m=2n

546 P42bc(00p)000 equivalent group: P42bc(00p)s0s

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

00lm:l=2n 00lm:l=2n h0lm:h=2n 0klm:k=2n -kklm:l=2n kklm:k+k+l=2n

547 P4bm(00p)0ss

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

h0lm:h+m=2n 0klm:k+m=2n -kklm:m=2n kklm:k+k+m=2n

548 P4bm(00p)ss0

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

00lm:m=2n 00lm:m=2n h0lm:h+m=2n 0klm:k+m=2n kklm:k+k=2n

549 P42bc(00p)0ss equivalent group: P42bc(00p)ss0

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

00lm:l=2n 00lm:l=2n h0lm:h+m=2n 0klm:k+m=2n -kklm:l+m=2n kklm:k+k+l+m=2n

550 P4nc(00p)000 equivalent group: P4nc(00p)0ss

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

h0lm:h+l=2n 0klm:k+l=2n -kklm:l=2n kklm:k+k+l=2n

551 P4nc(00p)s0s equivalent group: P4nc(00p)ss0

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

00lm:m=2n 00lm:m=2n h0lm:h+l=2n 0klm:k+l=2n -kklm:l+m=2n kklm:k+k+l+m=2n

552 P42nm(00p)000 equivalent group: P42nm(00p)ss0

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

00lm:l=2n 00lm:l=2n h0lm:h+l=2n 0klm:k+l=2n kklm:k+k=2n

553 P42nm(00p)s0s equivalent group: P42nm(00p)0ss

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

00lm:l+m=2n 00lm:l+m=2n h0lm:h+l=2n 0klm:k+l=2n -kklm:m=2n kklm:k+k+m=2n

554 P4mm(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n

555 P4mm(1/21/2p)s0s

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=2n 00lm:m=2n 0klm:m=2n h0lm:m=2n

556 P42mc(1/21/2p)000 equivalent group: P42mc(1/21/2p)s0s

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n 0klm:l=2n h0lm:l=2n

557 P4cc(1/21/2p)000 equivalent group: P4cc(1/21/2p)s0s

(0000;1/21/201/2)

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

hklm:h+k+m=2n -kklm:l=2n kklm:l=2n 0klm:l=2n h0lm:l=2n

558 P42cm(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n -kklm:l=2n kklm:l=2n

559 P42cm(1/21/2p)s0s

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l+m=2n 00lm:l+m=2n -kklm:l=2n kklm:l=2n 0klm:m=2n h0lm:m=2n

560 P4bm(1/21/2p)qq0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n -kklm:3k+k+3m=4n kklm:3k+3k+3m=4n

561 P4bm(1/21/2p)qqs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n -kklm:k+3k+m=4n kklm:k+k+m=4n 0klm:m=2n h0lm:m=2n

562 P42bc(1/21/2p)qq0 equivalent group: P42bc(1/21/2p)qqs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n -kklm:3k+k+3m=4n kklm:3k+3k+3m=4n 0klm:l=2n h0lm:l=2n

563 P4nc(1/21/2p)qq0 equivalent group: P4nc(1/21/2p)qqs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n -kklm:3k+k+2l+3m=4n kklm:3k+3k+2l+3m=4n 0klm:l=2n h0lm:l=2n

564 P42nm(1/21/2p)qq0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n -kklm:3k+k+2l+3m=4n kklm:3k+3k+2l+3m=4n

565 P42nm(1/21/2p)qqs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n -kklm:k+3k+2l+m=4n kklm:k+k+2l+m=4n 0klm:m=2n h0lm:m=2n

566 I4mm(00-p)000

(0000;1/21/21/20)

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

hklm:h+k+l=2n

567 I4mm(00-p)s0s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n -kklm:m=2n kklm:m=2n

568 I4md(00-p)000 equivalent group: I4md(00-p)s0s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n -kklm:3k+k+3l=4n kklm:k+k+3l=4n

569 I4mm(00-p)0ss

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:m=2n 0klm:m=2n -kklm:m=2n kklm:m=2n

570 I4mm(00-p)ss0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n h0lm:m=2n 0klm:m=2n

571 I4md(00-p)0ss equivalent group: I4md(00-p)ss0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n h0lm:m=2n 0klm:m=2n -kklm:3k+k+3l+2m=4n kklm:k+k+3l+2m=4n

572 I4cc(00-p)000

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:l=2n 0klm:l=2n -kklm:l=2n kklm:l=2n

573 I4cc(00-p)s0s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n h0lm:l=2n 0klm:l=2n -kklm:l+m=2n kklm:l+m=2n

574 I41cd(00-p)000 equivalent group: I41cd(00-p)s0s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:l=4n 00lm:l=4n h0lm:l=2n 0klm:l=2n -kklm:k+3k+3l=4n kklm:k+k+3l=4n

575 I4cc(00-p)0ss

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:l+m=2n kklm:l+m=2n

576 I4cc(00-p)ss0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:l=2n kklm:l=2n

577 I41cd(00-p)0ss equivalent group: I41cd(00-p)ss0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:l=4n 00lm:l=4n h0lm:l+m=2n 0klm:l+m=2n -kklm:k+3k+3l+2m=4n kklm:k+k+3l+2m=4n

578 P-42m(00p)000

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

579 P-42m(00p)00s

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

-kklm:m=2n kklm:m=2n

580 P-42c(00p)000 equivalent group: P-42c(00p)00s

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

-kklm:l=2n kklm:l=2n

581 P-421m(00p)000

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

0k00:k=2n h000:h=2n

582 P-421m(00p)00s

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

0k00:k=2n h000:h=2n -kklm:m=2n kklm:m=2n

583 P-421c(00p)000 equivalent group: P-421c(00p)00s

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

0k00:k=2n h000:h=2n -kklm:l=2n kklm:l=2n

584 P-42m(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n

585 P-42m(1/21/2p)00s

(0000;1/21/201/2)

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

hklm:h+k+m=2n 0klm:m=2n h0lm:m=2n

586 P-42c(1/21/2p)000 equivalent group: P-42c(1/21/2p)00s

(0000;1/21/201/2)

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

hklm:h+k+m=2n 0klm:l=2n h0lm:l=2n

587 P-4m2(00p)000

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

588 P-4m2(00p)0s0

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

h0lm:m=2n 0klm:m=2n

589 P-4c2(00p)000 equivalent group: P-4c2(00p)0s0

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

h0lm:l=2n 0klm:l=2n

590 P-4b2(00p)000

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

h0lm:h=2n 0klm:k=2n

591 P-4b2(00p)0s0

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

h0lm:h+m=2n 0klm:k+m=2n

592 P-4n2(00p)000 equivalent group: P-4n2(00p)0s0

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

h0lm:h+l=2n 0klm:k+l=2n

593 P-4m2(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n

594 P-4c2(1/21/2p)000

(0000;1/21/201/2)

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

hklm:h+k+m=2n -kklm:l=2n kklm:l=2n

595 P-4b2(1/21/2p)0q0

(0000;1/21/201/2)

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

hklm:h+k+m=2n -kklm:3k+k+3m=4n kklm:3k+3k+3m=4n 0k00:k=2n

596 P-4n2(1/21/2p)0q0

(0000;1/21/201/2)

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

hklm:h+k+m=2n -kklm:3k+k+2l+3m=4n kklm:3k+3k+2l+3m=4n 0k00:k=2n

597 I-4m2(00-p)000

(0000;1/21/21/20)

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

hklm:h+k+l=2n

598 I-4m2(00-p)0s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:m=2n 0klm:m=2n

599 I-4c2(00-p)000

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:l=2n 0klm:l=2n

600 I-4c2(00-p)0s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:l+m=2n 0klm:l+m=2n

601 I-42m(00-p)000

(0000;1/21/21/20)

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

hklm:h+k+l=2n

602 I-42m(00-p)00s

(0000;1/21/21/20)

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

hklm:h+k+l=2n -kklm:m=2n kklm:m=2n

603 I-421d(00-p)000 equivalent group: I-421d(00-p)00s

(0000;1/21/21/20)

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

hklm:h+k+l=2n h000:h=2n -kklm:k+3k+l=4n kklm:3k+3k+l=4n

604 P4/mmm(00p)0000

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

605 P4/mmm(00p)00ss

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

h0lm:m=2n 0klm:m=2n -kklm:m=2n kklm:m=2n

606 P4/mcc(00p)0000 equivalent group: P4/mcc(00p)00ss

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

h0lm:l=2n 0klm:l=2n -kklm:l=2n kklm:l=2n

607 P4/mmm(00p)s00s

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

00lm:m=2n 00lm:m=2n -kklm:m=2n kklm:m=2n

608 P4/mmm(00p)s0s0

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

00lm:m=2n 00lm:m=2n h0lm:m=2n 0klm:m=2n

609 P4/mcc(00p)s00s equivalent group: P4/mcc(00p)s0s0

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

00lm:m=2n 00lm:m=2n h0lm:l=2n 0klm:l=2n -kklm:l+m=2n kklm:l+m=2n

610 P42/mmc(00p)0000 equivalent group: P42/mmc(00p)s00s

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

00lm:l=2n 00lm:l=2n -kklm:l=2n kklm:l=2n

611 P42/mmc(00p)00ss equivalent group: P42/mmc(00p)s0s0

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

00lm:l=2n 00lm:l=2n h0lm:m=2n 0klm:m=2n -kklm:l+m=2n kklm:l+m=2n

612 P42/mcm(00p)0000 equivalent group: P42/mcm(00p)s0s0

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

00lm:l=2n 00lm:l=2n h0lm:l=2n 0klm:l=2n

613 P42/mcm(00p)00ss equivalent group: P42/mcm(00p)s00s

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

00lm:l=2n 00lm:l=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:m=2n kklm:m=2n

614 P4/nbm(00p)0000

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

hk00:h+k=2n h0lm:h=2n 0klm:k=2n kklm:k+k=2n

615 P4/nbm(00p)00ss

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

hk00:h+k=2n h0lm:h+m=2n 0klm:k+m=2n -kklm:m=2n kklm:k+k+m=2n

616 P4/nnc(00p)0000 equivalent group: P4/nnc(00p)00ss

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

hk00:h+k=2n h0lm:h+l=2n 0klm:k+l=2n -kklm:l=2n kklm:k+k+l=2n

617 P4/nbm(00p)s00s

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

00lm:m=2n 00lm:m=2n hk00:h+k=2n h0lm:h=2n 0klm:k=2n -kklm:m=2n kklm:k+k+m=2n

618 P4/nbm(00p)s0s0

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

00lm:m=2n 00lm:m=2n hk00:h+k=2n h0lm:h+m=2n 0klm:k+m=2n kklm:k+k=2n

619 P4/nnc(00p)s00s equivalent group: P4/nnc(00p)s0s0

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

00lm:m=2n 00lm:m=2n hk00:h+k=2n h0lm:h+l=2n 0klm:k+l=2n -kklm:l+m=2n kklm:k+k+l+m=2n

620 P42/nbc(00p)0000 equivalent group: P42/nbc(00p)s00s

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

00lm:l=2n 00lm:l=2n hk00:h+k=2n h0lm:h=2n 0klm:k=2n -kklm:l=2n kklm:k+k+l=2n

621 P42/nbc(00p)00ss equivalent group: P42/nbc(00p)s0s0

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

00lm:l=2n 00lm:l=2n hk00:h+k=2n h0lm:h+m=2n 0klm:k+m=2n -kklm:l+m=2n kklm:k+k+l+m=2n

622 P42/nnm(00p)0000 equivalent group: P42/nnm(00p)s0s0

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

00lm:l=2n 00lm:l=2n hk00:h+k=2n h0lm:h+l=2n 0klm:k+l=2n kklm:k+k=2n

623 P42/nnm(00p)00ss equivalent group: P42/nnm(00p)s00s

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

00lm:l=2n 00lm:l=2n hk00:h+k=2n h0lm:h+l+m=2n 0klm:k+l+m=2n -kklm:m=2n kklm:k+k+m=2n

624 P4/nmm(00p)0000

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

0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n

625 P4/nmm(00p)00ss

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

0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:m=2n 0klm:m=2n -kklm:m=2n kklm:m=2n

626 P4/ncc(00p)0000 equivalent group: P4/ncc(00p)00ss

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

0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:l=2n 0klm:l=2n -kklm:l=2n kklm:l=2n

627 P4/nmm(00p)s00s

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n -kklm:m=2n kklm:m=2n

628 P4/nmm(00p)s0s0

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:m=2n 0klm:m=2n

629 P4/ncc(00p)s00s equivalent group: P4/ncc(00p)s0s0

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:l=2n 0klm:l=2n -kklm:l+m=2n kklm:l+m=2n

630 P42/nmc(00p)0000 equivalent group: P42/nmc(00p)s00s

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n -kklm:l=2n kklm:l=2n

631 P42/nmc(00p)00ss equivalent group: P42/nmc(00p)s0s0

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:m=2n 0klm:m=2n -kklm:l+m=2n kklm:l+m=2n

632 P42/ncm(00p)0000 equivalent group: P42/ncm(00p)s0s0

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:l=2n 0klm:l=2n

633 P42/ncm(00p)00ss equivalent group: P42/ncm(00p)s00s

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n hk00:h+k=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:m=2n kklm:m=2n

634 P4/mbm(00p)0000

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

0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h=2n 0klm:k=2n kklm:k+k=2n

635 P4/mbm(00p)00ss

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

0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+m=2n 0klm:k+m=2n -kklm:m=2n kklm:k+k+m=2n

636 P4/mnc(00p)0000 equivalent group: P4/mnc(00p)00ss

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

0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+l=2n 0klm:k+l=2n -kklm:l=2n kklm:k+k+l=2n

637 P4/mbm(00p)s00s

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h=2n 0klm:k=2n -kklm:m=2n kklm:k+k+m=2n

638 P4/mbm(00p)s0s0

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+m=2n 0klm:k+m=2n kklm:k+k=2n

639 P4/mnc(00p)s00s equivalent group: P4/mnc(00p)s0s0

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

00lm:m=2n 00lm:m=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+l=2n 0klm:k+l=2n -kklm:l+m=2n kklm:k+k+l+m=2n

640 P42/mbc(00p)0000 equivalent group: P42/mbc(00p)s00s

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h=2n 0klm:k=2n -kklm:l=2n kklm:k+k+l=2n

641 P42/mbc(00p)00ss equivalent group: P42/mbc(00p)s0s0

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+m=2n 0klm:k+m=2n -kklm:l+m=2n kklm:k+k+l+m=2n

642 P42/mnm(00p)0000 equivalent group: P42/mnm(00p)s0s0

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+l=2n 0klm:k+l=2n kklm:k+k=2n

643 P42/mnm(00p)00ss equivalent group: P42/mnm(00p)s00s

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

00lm:l=2n 00lm:l=2n 0k00:k=2n h000:h=2n hh00:h+h=2n h0lm:h+l+m=2n 0klm:k+l+m=2n -kklm:m=2n kklm:k+k+m=2n

644 P4/mmm(1/21/2p)0000

(0000;1/21/201/2)

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

hklm:h+k+m=2n

645 P4/mmm(1/21/2p)00ss

(0000;1/21/201/2)

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

hklm:h+k+m=2n -kklm:m=2n kklm:m=2n 0klm:m=2n h0lm:m=2n

646 P4/mcc(1/21/2p)0000 equivalent group: P4/mcc(1/21/2p)00ss

(0000;1/21/201/2)

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

hklm:h+k+m=2n -kklm:l=2n kklm:l=2n 0klm:l=2n h0lm:l=2n

647 P42/mmc(1/21/2p)0000 equivalent group: P42/mmc(1/21/2p)00ss

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n 0klm:l=2n h0lm:l=2n

648 P42/mcm(1/21/2p)0000

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n -kklm:l=2n kklm:l=2n

649 P42/mcm(1/21/2p)00ss

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:l=2n 00lm:l=2n -kklm:l+m=2n kklm:l+m=2n 0klm:m=2n h0lm:m=2n

650 P4/nbm(1/21/2p)q0q0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n hh00:h+h=2n 0k00:k=2n hk00:k=2n -kklm:3k+k+3m=4n kklm:k+k+3m=4n

651 P4/nbm(1/21/2p)q0qs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n hh00:h+h=2n 0k00:k=2n hk00:k=2n -kklm:3k+k+m=4n kklm:k+k+m=4n 0klm:m=2n h0lm:m=2n

652 P4/nnc(1/21/2p)q0q0 equivalent group: P4/nnc(1/21/2p)q0qs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:m=4n 00lm:m=4n hh00:h+h=2n 0k00:k=2n hk00:k=2n -kklm:3k+k+2l+3m=4n kklm:k+k+2l+3m=4n 0klm:l=2n h0lm:l=2n

653 P42/nbc(1/21/2p)q0q0 equivalent group: P42/nbc(1/21/2p)q0qs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n hh00:h+h=2n 0k00:k=2n hk00:k=2n -kklm:3k+k+3m=4n kklm:k+k+3m=4n 0klm:l=2n h0lm:l=2n

654 P42/nnm(1/21/2p)q0q0

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n hh00:h+h=2n 0k00:k=2n hk00:k=2n -kklm:3k+k+2l+3m=4n kklm:k+k+2l+3m=4n

655 P42/nnm(1/21/2p)q0qs

(0000;1/21/201/2)

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

hklm:h+k+m=2n 00lm:2l+m=4n 00lm:2l+m=4n hh00:h+h=2n 0k00:k=2n hk00:k=2n -kklm:3k+k+2l+m=4n kklm:k+k+2l+m=4n 0klm:m=2n h0lm:m=2n

656 I4/mmm(00-p)0000

(0000;1/21/21/20)

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

hklm:h+k+l=2n

657 I4/mmm(00-p)00ss

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:m=2n 0klm:m=2n -kklm:m=2n kklm:m=2n

658 I4/mcc(00-p)0000

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:l=2n 0klm:l=2n -kklm:l=2n kklm:l=2n

659 I4/mcc(00-p)00ss

(0000;1/21/21/20)

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

hklm:h+k+l=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:l+m=2n kklm:l+m=2n

660 I4/mmm(00-p)s00s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n -kklm:m=2n kklm:m=2n

661 I4/mmm(00-p)s0s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n h0lm:m=2n 0klm:m=2n

662 I4/mcc(00-p)s00s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n h0lm:l=2n 0klm:l=2n -kklm:l+m=2n kklm:l+m=2n

663 I4/mcc(00-p)s0s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:m=2n 00lm:m=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:l=2n kklm:l=2n

664 I4/amd(00-p)0000 equivalent group: I4/amd(00-p)s00s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n h000:h=2n hh00:h+h=2n hk00:h=2n -kklm:3k+k+3l=4n kklm:k+k+3l=4n

665 I4/amd(00-p)00ss equivalent group: I4/amd(00-p)s0s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n h000:h=2n hh00:h+h=2n hk00:h=2n h0lm:m=2n 0klm:m=2n -kklm:3k+k+3l+2m=4n kklm:k+k+3l+2m=4n

666 I4/acd(00-p)0000 equivalent group: I4/acd(00-p)s00s

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n h000:h=2n hh00:h+h=2n hk00:h=2n h0lm:l=2n 0klm:l=2n -kklm:3k+k+l=4n kklm:k+k+l=4n

667 I4/acd(00-p)00ss equivalent group: I4/acd(00-p)s0s0

(0000;1/21/21/20)

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

hklm:h+k+l=2n 00lm:3l=4n 00lm:3l=4n h000:h=2n hh00:h+h=2n hk00:h=2n h0lm:l+m=2n 0klm:l+m=2n -kklm:3k+k+l+2m=4n kklm:k+k+l+2m=4n