Hexagonal Superspace Groups

Hexagonal Superspace Groups

712 P6(00p)0

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

713 P6(00p)t equivalent group: P6(00p)t

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

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

714 P6(00p)0 equivalent group: P6(00p)t P6(00p)t P6₂(00p)0 P6₂(00p)t P6₂(00p)t

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

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

715 P6(00p)s

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

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

716 P6(00p)h equivalent group: P6(00p)h

x,y,z,t; -y,x-y,z,1/3+t; -x+y,-x,z,2/3+t; -x,-y,z,1/2+t; y,-x+y,z,5/6+t; x-y,x,z,1/6+t;

00lm:m=3n 00lm:2m=3n 00lm:m=2n 00lm:5m=6n 00lm:m=6n

717 P6(00p)s equivalent group: P6(00p)h P6(00p)h P6₂(00p)s P6₂(00p)h P6₂(00p)h

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

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

718 P6₃(00p)0 equivalent group: P6₃(00p)s

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

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

719 P6₃(00p)t equivalent group: P6₃(00p)t P6₃(00p)h P6₃(00p)h

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

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

720 P6₁(00p)0 equivalent group: P6₁(00p)t P6₁(00p)t P6(00p)0 P6(00p)t P6(00p)t P6₁(00p)s P6₁(00p)h P6₁(00p)h P6(00p)s P6(00p)h P6(00p)h

x,y,z,t; -y,x-y,1/3+z,t; -x+y,-x,2/3+z,t; -x,-y,1/2+z,t; y,-x+y,5/6+z,t; x-y,x,1/6+z,t;

00lm:l=3n 00lm:2l=3n 00lm:l=2n 00lm:5l=6n 00lm:l=6n

721 P-6(00p)0

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

722 P6/m(00p)00

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

723 P6/m(00p)s0

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

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

724 P6₃/m(00p)00 equivalent group: P6₃/m(00p)s0

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

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

725 P622(00p)000

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

726 P622(00p)t00 equivalent group: P622(00p)t00

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

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

727 P622(00p)000 equivalent group: P622(00p)t00 P622(00p)t00 P6₂22(00p)000 P6₂22(00p)t00 P6₂22(00p)t00

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

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

728 P622(00p)s00

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

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

729 P622(00p)h00 equivalent group: P622(00p)h00

x,y,z,t; -y,x-y,z,1/3+t; -x+y,-x,z,2/3+t; -x,-y,z,1/2+t; y,-x+y,z,5/6+t; x-y,x,z,1/6+t; y,x,-z,-t; x-y,-y,-z,2/3-t; -x,-x+y,-z,1/3-t; -y,-x,-z,1/2-t; -x+y,y,-z,1/6-t; x,x-y,-z,5/6-t;

00lm:m=3n 00lm:2m=3n 00lm:m=2n 00lm:5m=6n 00lm:m=6n

730 P622(00p)s00 equivalent group: P622(00p)h00 P622(00p)h00 P6₂22(00p)s00 P6₂22(00p)h00 P6₂22(00p)h00

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

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

731 P6₃22(00p)000 equivalent group: P6₃22(00p)s00

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

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

732 P6₃22(00p)t00 equivalent group: P6₃22(00p)t00 P6₃22(00p)h00 P6₃22(00p)h00

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

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

733 P6₁22(00p)000 equivalent group: P6₁22(00p)t00 P6₁22(00p)t00 P622(00p)000 P622(00p)t00 P622(00p)t00 P6₁22(00p)s00 P6₁22(00p)h00 P6₁22(00p)h00 P622(00p)s00 P622(00p)h00 P622(00p)h00

x,y,z,t; -y,x-y,1/3+z,t; -x+y,-x,2/3+z,t; -x,-y,1/2+z,t; y,-x+y,5/6+z,t; x-y,x,1/6+z,t; y,x,-z,-t; x-y,-y,2/3-z,-t; -x,-x+y,1/3-z,-t; -y,-x,1/2-z,-t; -x+y,y,1/6-z,-t; x,x-y,5/6-z,-t;

00lm:l=3n 00lm:2l=3n 00lm:l=2n 00lm:5l=6n 00lm:l=6n

734 P6mm(00p)000

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

735 P6mm(00p)0ss

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

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

736 P6cc(00p)000 equivalent group: P6cc(00p)0ss

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

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

737 P6mm(00p)s0s

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

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

738 P6mm(00p)ss0

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

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

739 P6cc(00p)s0s equivalent group: P6cc(00p)ss0

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

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

740 P6₃mc(00p)000 equivalent group: P6₃mc(00p)s0s

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

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

741 P6₃mc(00p)0ss equivalent group: P6₃mc(00p)ss0

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

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

742 P6₃cm(00p)000 equivalent group: P6₃cm(00p)ss0

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

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

743 P6₃cm(00p)0ss equivalent group: P6₃cm(00p)s0s

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

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

744 P-6m2(00p)000

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

745 P-6m2(00p)0s0

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

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

746 P-6c2(00p)000 equivalent group: P-6c2(00p)0s0

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

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

747 P-62m(00p)000

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

748 P-62m(00p)00s

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

kklm:m=2n -2kklm:m=2n h-2hlm:m=2n

749 P-62c(00p)000 equivalent group: P-62c(00p)00s

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

kklm:l=2n -2kklm:l=2n h-2hlm:l=2n

750 P6/mmm(00p)0000

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

751 P6/mmm(00p)00ss

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

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

752 P6/mcc(00p)0000 equivalent group: P6/mcc(00p)00ss

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

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

753 P6/mmm(00p)s00s

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

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

754 P6/mmm(00p)s0s0

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

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

755 P6/mcc(00p)s00s equivalent group: P6/mcc(00p)s0s0

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

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

756 P6₃/mmc(00p)0000 equivalent group: P6₃/mmc(00p)s00s

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

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

757 P6₃/mmc(00p)00ss equivalent group: P6₃/mmc(00p)s0s0

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

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

758 P6₃/mcm(00p)0000 equivalent group: P6₃/mcm(00p)s0s0

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

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

759 P6₃/mcm(00p)00ss equivalent group: P6₃/mcm(00p)s00s

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

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