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