Mercurial > repos > marcel > caddsuite_linux_x86_64
view CADDSuite-1.5/data/XRAY/spacegroups.dat @ 15:ac342506cd4e draft
CADDSuite version 1.5
author | Marcel Schumann <schumann.marcel@gmail.com> |
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date | Tue, 24 Jul 2012 11:08:49 -0400 |
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P 1 1 (X,Y,Z) P 1- 2 (X,Y,Z) (-X,-Y,-Z) P -1 2 (X,Y,Z) (-X,-Y,-Z) P 2 2 (X,Y,Z) (-X,Y,-Z) P 1 21 1 2 (X,Y,Z) (-X,Y+1/2,-Z) P 21 2 (X,Y,Z) (-X,Y+1/2,-Z) C 1 2 1 4 (X,Y,Z) (-X,Y,-Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2+Y,-Z) C 2 4 (X,Y,Z) (-X,Y,-Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2+Y,-Z) P M 2 (X,Y,Z) (X,-Y,Z) P C 2 (X,Y,Z) (X,-Y,1/2+Z) C M 4 (X,Y,Z) (X,-Y,Z) (1/2+X,1/2+Y,Z) (1/2+X,1/2-Y,Z) C C 4 (X,Y,Z) (X,-Y,1/2+Z) (1/2+X,1/2+Y,Z) (1/2+X,1/2-Y,1/2+Z) P 2/M 4 (X,Y,Z) (X,-Y,Z) (-X,Y,-Z) (-X,-Y,-Z) P 21/M 4 (X,Y,Z) (-X,1/2+Y,-Z) (-X,-Y,-Z) (X,1/2-Y,Z) C 2/M 8 (X,Y,Z) (X,-Y,Z) (-X,Y,-Z) (-X,-Y,-Z) (1/2+X,1/2+Y,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2-X,1/2-Y,-Z) P 2/C 4 (X,Y,Z) (-X,Y,1/2-Z) (-X,-Y,-Z) (X,-Y,1/2+Z) P 21/C 4 (X,Y,Z) (-X,-Y,-Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2+Z) C 2/C 8 (X,Y,Z) (-X,Y,1/2-Z) (-X,-Y,-Z) (X,-Y,1/2+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2+Y,1/2-Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2-Y,1/2+Z) P 2 2 2 4 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) P 2 2 21 4 (X,Y,Z) (-X,-Y,1/2+Z) (-X,Y,1/2-Z) (X,-Y,-Z) P 21 21 2 4 (X,Y,Z) (-X,-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) P 21 21 21 4 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) C 2 2 21 8 (X,Y,Z) (-X,-Y,1/2+Z) (-X,Y,1/2-Z) (X,-Y,-Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) C 2 2 2 8 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) F 2 2 2 16 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) I 2 2 2 8 (X,Y,Z) (-X,-Y,Z) (X,-Y,-Z) (-X,Y,-Z) (X+1/2,Y+1/2,Z+1/2) (-X+1/2,-Y+1/2,Z+1/2) (X+1/2,-Y+1/2,-Z+1/2) (-X+1/2,Y+1/2,-Z+1/2) I 21 21 21 8 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (1/2+X,1/2+Y,1/2+Z) (-X,1/2-Y,Z) (1/2-X,Y,-Z) (X,-Y,1/2-Z) P M M 2 4 (X,Y,Z) (-X,-Y,Z) (X,-Y,Z) (-X,Y,Z) P M C 21 4 (X,Y,Z) (-X,-Y,1/2+Z) (X,-Y,1/2+Z) (-X,Y,Z) P C C 2 4 (X,Y,Z) (-X,-Y,Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) P M A 2 4 (X,Y,Z) (-X,-Y,Z) (1/2+X,-Y,Z) (1/2-X,Y,Z) P C A 21 4 (X,Y,Z) (-X,-Y,1/2+Z) (1/2+X,-Y,Z) (1/2-X,Y,1/2+Z) P N C 2 4 (X,Y,Z) (-X,-Y,Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) P M N 21 4 (X,Y,Z) (1/2-X,-Y,1/2+Z) (1/2+X,-Y,1/2+Z) (-X,Y,Z) P B A 2 4 (X,Y,Z) (-X,-Y,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) P N A 21 4 (X,Y,Z) (-X,-Y,1/2+Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,1/2+Z) P N N 2 4 (X,Y,Z) (-X,-Y,Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) C M M 2 8 (X,Y,Z) (-X,-Y,Z) (X,-Y,Z) (-X,Y,Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) C M C 21 8 (X,Y,Z) (-X,-Y,1/2+Z) (X,-Y,1/2+Z) (-X,Y,Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,1/2+Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,Z) C C C 2 8 (X,Y,Z) (-X,-Y,Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) A M M 2 8 (X,Y,Z) (-X,-Y,Z) (X,-Y,Z) (-X,Y,Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) A B M 2 8 (X,Y,Z) (-X,-Y,Z) (X,1/2-Y,Z) (-X,1/2+Y,Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) A M A 2 8 (X,Y,Z) (-X,-Y,Z) (1/2+X,-Y,Z) (1/2-X,Y,Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) A B A 2 8 (X,Y,Z) (-X,-Y,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (1/2+X,-Y,1/2+Z) (1/2-X,Y,1/2+Z) F M M 2 16 (X,Y,Z) (-X,-Y,Z) (X,-Y,Z) (-X,Y,Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2+X,-Y,1/2+Z) (1/2-X,Y,1/2+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) F D D 2 16 (X,Y,Z) (-X,-Y,Z) (1/4+X,1/4-Y,1/4+Z) (1/4-X,1/4+Y,1/4+Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (1/4+X,3/4-Y,3/4+Z) (1/4-X,3/4+Y,3/4+Z) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (3/4+X,1/4-Y,3/4+Z) (3/4-X,1/4+Y,3/4+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (3/4+X,3/4-Y,1/4+Z) (3/4-X,3/4+Y,1/4+Z) I M M 2 8 (X,Y,Z) (-X,-Y,Z) (X,-Y,Z) (-X,Y,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) I B A 2 8 (X,Y,Z) (-X,-Y,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) I M A 2 8 (X,Y,Z) (-X,-Y,Z) (1/2+X,-Y,Z) (1/2-X,Y,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) P M M M 8 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,Z) (-X,Y,Z) P N N N 8 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (1/2-X,1/2-Y,1/2-Z) (1/2+X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) P C C M 8 (X,Y,Z) (-X,-Y,Z) (-X,Y,1/2-Z) (X,-Y,1/2-Z) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) P B A N 8 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2+Y,-Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) P M M A 8 (X,Y,Z) (1/2-X,-Y,Z) (-X,Y,-Z) (1/2+X,-Y,-Z) (-X,-Y,-Z) (1/2+X,Y,-Z) (X,-Y,Z) (1/2-X,Y,Z) P N N A 8 (X,Y,Z) (1/2-X,-Y,Z) (1/2-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (-X,-Y,-Z) (1/2+X,Y,-Z) (1/2+X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) P M N A 8 (X,Y,Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (X,-Y,-Z) (-X,-Y,-Z) (1/2+X,Y,1/2-Z) (1/2+X,-Y,1/2+Z) (-X,Y,Z) P C C A 8 (X,Y,Z) (1/2-X,-Y,Z) (-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (-X,-Y,-Z) (1/2+X,Y,-Z) (X,-Y,1/2+Z) (1/2-X,Y,1/2+Z) P B A M 8 (X,Y,Z) (-X,-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (-X,-Y,-Z) (X,Y,-Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) P C C N 8 (X,Y,Z) (1/2-X,1/2-Y,Z) (-X,1/2+Y,1/2-Z) (1/2+X,-Y,1/2-Z) (-X,-Y,-Z) (1/2+X,1/2+Y,-Z) (X,1/2-Y,1/2+Z) (1/2-X,Y,1/2+Z) P B C M 8 (X,Y,Z) (-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,-Z) (-X,-Y,-Z) (X,Y,1/2-Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,Z) P N N M 8 (X,Y,Z) (-X,-Y,Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (-X,-Y,-Z) (X,Y,-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) P M M N 8 (X,Y,Z) (-X,-Y,Z) (1/2-X,Y+1/2,-Z) (X+1/2,1/2-Y,-Z) (1/2-X,1/2-Y,-Z) (X+1/2,Y+1/2,-Z) (X,-Y,Z) (-X,Y,Z) P B C N 8 (X,Y,Z) (1/2-X,1/2-Y,1/2+Z) (-X,Y,1/2-Z) (1/2+X,1/2-Y,-Z) (-X,-Y,-Z) (1/2+X,1/2+Y,1/2-Z) (X,-Y,1/2+Z) (1/2-X,1/2+Y,Z) P B C A 8 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (-X,-Y,-Z) (1/2+X,Y,1/2-Z) (X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,Z) P N M A 8 (X,Y,Z) (-X+1/2,-Y,Z+1/2) (-X,Y+1/2,-Z) (X+1/2,-Y+1/2,-Z+1/2) (-X,-Y,-Z) (X+1/2,Y,-Z+1/2) (X,-Y+1/2,Z) (-X+1/2,Y+1/2,Z+1/2) C M C M 16 (X,Y,Z) (-X,-Y,1/2+Z) (-X,Y,1/2-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,Y,1/2-Z) (X,-Y,1/2+Z) (-X,Y,Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,Z) C M C A 16 (X,Y,Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,1/2+Y,1/2-Z) (X,1/2-Y,1/2+Z) (-X,Y,Z) (1/2+X,1/2+Y,Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,1/2-Y,-Z) (1/2-X,1/2-Y,-Z) (1/2+X,Y,1/2-Z) (1/2+X,-Y,1/2+Z) (1/2-X,1/2+Y,Z) C M M M 16 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,Z) (-X,Y,Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2+Y,-Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) C C C M 16 (X,Y,Z) (-X,-Y,Z) (-X,Y,1/2-Z) (X,-Y,1/2-Z) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2+Y,-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) C M M A 16 (X,Y,Z) (-X,1/2-Y,Z) (-X,1/2+Y,-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,1/2+Y,-Z) (X,1/2-Y,Z) (-X,Y,Z) (1/2+X,1/2+Y,Z) (1/2-X,-Y,Z) (1/2-X,Y,-Z) (1/2+X,1/2-Y,-Z) (1/2-X,1/2-Y,-Z) (1/2+X,Y,-Z) (1/2+X,-Y,Z) (1/2-X,1/2+Y,Z) C C C A 16 (X,Y,Z) (1/2-X,1/2-Y,Z) (-X,Y,-Z) (1/2+X,1/2-Y,-Z) (-X,1/2-Y,1/2-Z) (1/2+X,Y,1/2-Z) (X,1/2-Y,1/2+Z) (1/2-X,Y,1/2+Z) (1/2+X,1/2+Y,Z) (-X,-Y,Z) (1/2-X,1/2+Y,-Z) (X,-Y,-Z) (1/2-X,-Y,1/2-Z) (X,1/2+Y,1/2-Z) (1/2+X,-Y,1/2+Z) (-X,1/2+Y,1/2+Z) F M M M 32 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,Z) (-X,Y,Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (-X,1/2-Y,1/2-Z) (X,1/2+Y,1/2-Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2-X,-Y,1/2-Z) (1/2+X,Y,1/2-Z) (1/2+X,-Y,1/2+Z) (1/2-X,Y,1/2+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2+Y,-Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) F D D D 32 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (1/4-X,1/4-Y,1/4-Z) (1/4+X,1/4+Y,1/4-Z) (1/4+X,1/4-Y,1/4+Z) (1/4-X,1/4+Y,1/4+Z) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (1/4-X,3/4-Y,3/4-Z) (1/4+X,3/4+Y,3/4-Z) (1/4+X,3/4-Y,3/4+Z) (1/4-X,3/4+Y,3/4+Z) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (3/4-X,1/4-Y,3/4-Z) (3/4+X,1/4+Y,3/4-Z) (3/4+X,1/4-Y,3/4+Z) (3/4-X,1/4+Y,3/4+Z) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (3/4-X,3/4-Y,1/4-Z) (3/4+X,3/4+Y,1/4-Z) (3/4+X,3/4-Y,1/4+Z) (3/4-X,3/4+Y,1/4+Z) I M M M 16 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,Z) (-X,Y,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2-X,1/2-Y,1/2-Z) (1/2+X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) I B A M 16 (X,Y,Z) (-X,-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (-X,-Y,-Z) (X,Y,-Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (-X,Y,1/2-Z) (X,-Y,1/2-Z) (1/2-X,1/2-Y,1/2-Z) (1/2+X,1/2+Y,1/2-Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) I B C A 16 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (-X,-Y,-Z) (1/2+X,Y,1/2-Z) (X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,Z) (1/2+X,1/2+Y,1/2+Z) (-X,1/2-Y,Z) (1/2-X,Y,-Z) (X,-Y,1/2-Z) (1/2-X,1/2-Y,1/2-Z) (X,1/2+Y,-Z) (1/2+X,-Y,Z) (-X,Y,1/2+Z) I M M A 16 (X,Y,Z) (-X,1/2-Y,Z) (-X,1/2+Y,-Z) (X,-Y,-Z) (-X,-Y,-Z) (X,1/2+Y,-Z) (X,1/2-Y,Z) (-X,Y,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2-X,1/2-Y,1/2-Z) (1/2+X,Y,1/2-Z) (1/2+X,-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) P 4 4 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) P 41 4 (X,Y,Z) (-X,-Y,1/2+Z) (-Y,X,1/4+Z) (Y,-X,3/4+Z) P 42 4 (X,Y,Z) (-X,-Y,Z) (-Y,X,1/2+Z) (Y,-X,1/2+Z) P 43 4 (X,Y,Z) (-X,-Y,1/2+Z) (-Y,X,3/4+Z) (Y,-X,1/4+Z) I 4 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) I 41 8 (X,Y,Z) (1/2-X,1/2-Y,1/2+Z) (-Y,1/2+X,1/4+Z) (1/2+Y,-X,3/4+Z) (1/2+X,1/2+Y,1/2+Z) (-X,-Y,Z) (1/2-Y,X,3/4+Z) (Y,1/2-X,1/4+Z) P -4 4 (X,Y,Z) (-X,-Y,Z) (Y,-X,-Z) (-Y,X,-Z) I -4 8 (X,Y,Z) (-X,-Y,Z) (Y,-X,-Z) (-Y,X,-Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2+Y,1/2-X,1/2-Z) (1/2-Y,1/2+X,1/2-Z) P 4/M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (-X,-Y,-Z) (X,Y,-Z) (Y,-X,-Z) (-Y,X,-Z) P 42/M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,1/2+Z) (Y,-X,1/2+Z) (-X,-Y,-Z) (X,Y,-Z) (Y,-X,1/2-Z) (-Y,X,1/2-Z) P 4/N 8 (X,Y,Z) (-X,-Y,Z) (1/2-Y,1/2+X,Z) (1/2+Y,1/2-X,Z) (1/2-X,1/2-Y,-Z) (1/2+X,1/2+Y,-Z) (Y,-X,-Z) (-Y,X,-Z) P 42/N 8 (X,Y,Z) (-X,-Y,Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2-X,1/2-Y,1/2-Z) (1/2+X,1/2+Y,1/2-Z) (Y,-X,-Z) (-Y,X,-Z) I 4/M 16 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (-X,-Y,-Z) (X,Y,-Z) (Y,-X,-Z) (-Y,X,-Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2-X,1/2-Y,1/2-Z) (1/2+X,1/2+Y,1/2-Z) (1/2+Y,1/2-X,1/2-Z) (1/2-Y,1/2+X,1/2-Z) I 41/A 16 (X,Y,Z) (1/2-X,1/2-Y,1/2+Z) (-Y,1/2+X,1/4+Z) (1/2+Y,-X,3/4+Z) (-X,1/2-Y,1/4-Z) (1/2+X,Y,3/4-Z) (Y,-X,-Z) (1/2-Y,1/2+X,1/2-Z) (1/2+X,1/2+Y,1/2+Z) (-X,-Y,Z) (1/2-Y,X,3/4+Z) (Y,1/2-X,1/4+Z) (1/2-X,-Y,3/4-Z) (X,1/2+Y,1/4-Z) (1/2+Y,1/2-X,1/2-Z) (-Y,X,-Z) P 4 2 2 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (-X,Y,-Z) (X,-Y,-Z) (Y,X,-Z) (-Y,-X,-Z) P 4 21 2 8 (X,Y,Z) (-X,-Y,Z) (1/2-Y,1/2+X,Z) (1/2+Y,1/2-X,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (Y,X,-Z) (-Y,-X,-Z) P 41 2 2 8 (X,Y,Z) (-X,-Y,1/2+Z) (-Y,X,1/4+Z) (Y,-X,3/4+Z) (-X,Y,-Z) (X,-Y,1/2-Z) (Y,X,3/4-Z) (-Y,-X,1/4-Z) P 41 21 2 8 (X,Y,Z) (-X,-Y,1/2+Z) (1/2-Y,1/2+X,1/4+Z) (1/2+Y,1/2-X,3/4+Z) (1/2-X,1/2+Y,1/4-Z) (1/2+X,1/2-Y,3/4-Z) (Y,X,-Z) (-Y,-X,1/2-Z) P 42 2 2 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,1/2+Z) (Y,-X,1/2+Z) (-X,Y,-Z) (X,-Y,-Z) (Y,X,1/2-Z) (-Y,-X,1/2-Z) P 42 21 2 8 (X,Y,Z) (-X,-Y,Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (Y,X,-Z) (-Y,-X,-Z) P 43 2 2 8 (X,Y,Z) (-X,-Y,1/2+Z) (-Y,X,3/4+Z) (Y,-X,1/4+Z) (-X,Y,-Z) (X,-Y,1/2-Z) (Y,X,1/4-Z) (-Y,-X,3/4-Z) P 43 21 2 8 (X,Y,Z) (-X,-Y,1/2+Z) (1/2-Y,1/2+X,3/4+Z) (1/2+Y,1/2-X,1/4+Z) (1/2-X,1/2+Y,3/4-Z) (1/2+X,1/2-Y,1/4-Z) (Y,X,-Z) (-Y,-X,1/2-Z) I 4 2 2 16 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (-X,Y,-Z) (X,-Y,-Z) (Y,X,-Z) (-Y,-X,-Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2+Y,1/2+X,1/2-Z) (1/2-Y,1/2-X,1/2-Z) I 41 2 2 16 (X,Y,Z) (1/2-X,1/2-Y,1/2+Z) (-Y,1/2+X,1/4+Z) (1/2+Y,-X,3/4+Z) (1/2-X,Y,3/4-Z) (X,1/2-Y,1/4-Z) (1/2+Y,1/2+X,1/2-Z) (-Y,-X,-Z) (1/2+X,1/2+Y,1/2+Z) (-X,-Y,Z) (1/2-Y,X,3/4+Z) (Y,1/2-X,1/4+Z) (-X,1/2+Y,1/4-Z) (1/2+X,-Y,3/4-Z) (Y,X,-Z) (1/2-Y,1/2-X,1/2-Z) P 4 M M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (X,-Y,Z) (-X,Y,Z) (-Y,-X,Z) (Y,X,Z) P 4 B M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (1/2-Y,1/2-X,Z) (1/2+Y,1/2+X,Z) P 42 C M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,1/2+Z) (Y,-X,1/2+Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (-Y,-X,Z) (Y,X,Z) P 42 N M 8 (X,Y,Z) (-X,-Y,Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) (-Y,-X,Z) (Y,X,Z) P 4 C C 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (-Y,-X,1/2+Z) (Y,X,1/2+Z) P 4 N C 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2+X,1/2+Z) P 42 M C 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,1/2+Z) (Y,-X,1/2+Z) (X,-Y,Z) (-X,Y,Z) (-Y,-X,1/2+Z) (Y,X,1/2+Z) P 42 B C 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,1/2+Z) (Y,-X,1/2+Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2+X,1/2+Z) I 4 M M 16 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (X,-Y,Z) (-X,Y,Z) (-Y,-X,Z) (Y,X,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2+X,1/2+Z) I 4 C M 16 (X,Y,Z) (-X,-Y,Z) (-Y,X,Z) (Y,-X,Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (-Y,-X,1/2+Z) (Y,X,1/2+Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+Y,1/2-X,1/2+Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (1/2-Y,1/2-X,Z) (1/2+Y,1/2+X,Z) I 41 M D 16 (X,Y,Z) (1/2-X,1/2-Y,1/2+Z) (-Y,1/2+X,1/4+Z) (1/2+Y,-X,3/4+Z) (X,-Y,Z) (1/2-X,1/2+Y,1/2+Z) (-Y,1/2-X,1/4+Z) (1/2+Y,X,3/4+Z) (1/2+X,1/2+Y,1/2+Z) (-X,-Y,Z) (1/2-Y,X,3/4+Z) (Y,1/2-X,1/4+Z) (1/2+X,1/2-Y,1/2+Z) (-X,Y,Z) (1/2-Y,-X,3/4+Z) (Y,1/2+X,1/4+Z) I 41 C D 16 (X,Y,Z) (1/2-X,1/2-Y,1/2+Z) (-Y,1/2+X,1/4+Z) (1/2+Y,-X,3/4+Z) (X,-Y,1/2+Z) (1/2-X,1/2+Y,Z) (-Y,1/2-X,3/4+Z) (1/2+Y,X,1/4+Z) (1/2+X,1/2+Y,1/2+Z) (-X,-Y,Z) (1/2-Y,X,3/4+Z) (Y,1/2-X,1/4+Z) (1/2+X,1/2-Y,Z) (-X,Y,1/2+Z) (1/2-Y,-X,1/4+Z) (Y,1/2+X,3/4+Z) P -4 2 M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (-X,Y,-Z) (X,-Y,-Z) (-Y,-X,Z) (Y,X,Z) P -4 2 C 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (-X,Y,1/2-Z) (X,-Y,1/2-Z) (-Y,-X,1/2+Z) (Y,X,1/2+Z) P -4 21 M 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2-Y,1/2-X,Z) (1/2+Y,1/2+X,Z) P -4 21 C 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2+X,1/2+Z) P -4 M 2 8 (X,Y,Z) (-X,-Y,Z) (Y,-X,-Z) (-Y,X,-Z) (X,-Y,Z) (-X,Y,Z) (Y,X,-Z) (-Y,-X,-Z) P -4 C 2 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (Y,X,1/2-Z) (-Y,-X,1/2-Z) P -4 B 2 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (1/2+X,1/2-Y,Z) (1/2-X,1/2+Y,Z) (1/2+Y,1/2+X,-Z) (1/2-Y,1/2-X,-Z) P -4 N 2 8 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) (1/2+Y,1/2+X,1/2-Z) (1/2-Y,1/2-X,1/2-Z) I -4 M 2 16 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (X,-Y,Z) (-X,Y,Z) (Y,X,-Z) (-Y,-X,-Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-Y,1/2+X,1/2-Z) (1/2+Y,1/2-X,1/2-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) (1/2+Y,1/2+X,1/2-Z) (1/2-Y,1/2-X,1/2-Z) I -4 C 2 16 (X,Y,Z) (-X,-Y,Z) (Y,-X,-Z) (-Y,X,-Z) (X,-Y,1/2+Z) (-X,Y,1/2+Z) (Y,X,1/2-Z) (-Y,-X,1/2-Z) (X+1/2,Y+1/2,Z+1/2) (-X+1/2,-Y+1/2,Z+1/2) (Y+1/2,-X+1/2,-Z+1/2) (-Y+1/2,X+1/2,-Z+1/2) (X+1/2,-Y+1/2,Z) (-X+1/2,Y+1/2,Z) (Y+1/2,X+1/2,-Z) (-Y+1/2,-X+1/2,-Z) I -4 2 M 16 (X,Y,Z) (-X,-Y,Z) (-Y,X,-Z) (Y,-X,-Z) (-X,Y,-Z) (X,-Y,-Z) (-Y,-X,Z) (Y,X,Z) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) 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(Y-X,-X,2/3+Z) (-X,-Y,Z) (Y,Y-X,1/3+Z) (X-Y,X,2/3+Z) (Y,X,1/3-Z) (X-Y,-Y,-Z) (-X,Y-X,2/3-Z) (-Y,-X,1/3-Z) (Y-X,Y,-Z) (X,X-Y,2/3-Z) P 63 2 2 12 (X,Y,Z) (-Y,X-Y,Z) (Y-X,-X,Z) (-X,-Y,1/2+Z) (Y,Y-X,1/2+Z) (X-Y,X,1/2+Z) (Y,X,-Z) (X-Y,-Y,-Z) (-X,Y-X,-Z) (-Y,-X,1/2-Z) (Y-X,Y,1/2-Z) (X,X-Y,1/2-Z) P 6 M M 12 (X,Y,Z) (-Y,X-Y,Z) (Y-X,-X,Z) (-X,-Y,Z) (Y,Y-X,Z) (X-Y,X,Z) (-Y,-X,Z) (Y-X,Y,Z) (X,X-Y,Z) (Y,X,Z) (X-Y,-Y,Z) (-X,Y-X,Z) P 6 C C 12 (X,Y,Z) (-Y,X-Y,Z) (Y-X,-X,Z) (-X,-Y,Z) (Y,Y-X,Z) (X-Y,X,Z) (-Y,-X,1/2+Z) (Y-X,Y,1/2+Z) (X,X-Y,1/2+Z) (Y,X,1/2+Z) (X-Y,-Y,1/2+Z) (-X,Y-X,1/2+Z) P 63 C M 12 (X,Y,Z) (-Y,X-Y,Z) (Y-X,-X,Z) (-X,-Y,1/2+Z) (Y,Y-X,1/2+Z) (X-Y,X,1/2+Z) (-Y,-X,1/2+Z) (Y-X,Y,1/2+Z) (X,X-Y,1/2+Z) (Y,X,Z) (X-Y,-Y,Z) (-X,Y-X,Z) P 63 M C 12 (X,Y,Z) (-Y,X-Y,Z) (Y-X,-X,Z) (-X,-Y,1/2+Z) (Y,Y-X,1/2+Z) (X-Y,X,1/2+Z) (-Y,-X,Z) (Y-X,Y,Z) (X,X-Y,Z) (Y,X,1/2+Z) (X-Y,-Y,1/2+Z) (-X,Y-X,1/2+Z) P -6 M 2 12 (X,Y,Z) (-Y,X-Y,Z) (Y-X,-X,Z) (X,Y,-Z) (-Y,X-Y,-Z) (Y-X,-X,-Z) (-Y,-X,Z) (Y-X,Y,Z) (X,X-Y,Z) 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(Z,1/2+X,1/2+Y) (Z,1/2-X,1/2-Y) (-Z,1/2-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,1/2+Z,1/2+X) (-Y,1/2+Z,1/2-X) (Y,1/2-Z,1/2-X) (-Y,1/2-Z,1/2+X) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2+Z,X,1/2+Y) (1/2+Z,-X,1/2-Y) (1/2-Z,-X,1/2+Y) (1/2-Z,X,1/2-Y) (1/2+Y,Z,1/2+X) (1/2-Y,Z,1/2-X) (1/2+Y,-Z,1/2-X) (1/2-Y,-Z,1/2+X) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2+Z,1/2+X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,1/2-X,Y) (1/2-Z,1/2+X,-Y) (1/2+Y,1/2+Z,X) (1/2-Y,1/2+Z,-X) (1/2+Y,1/2-Z,-X) (1/2-Y,1/2-Z,X) I 2 3 24 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2+Z,1/2+X,1/2+Y) (1/2+Z,1/2-X,1/2-Y) (1/2-Z,1/2-X,1/2+Y) (1/2-Z,1/2+X,1/2-Y) (1/2+Y,1/2+Z,1/2+X) (1/2-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,1/2-X) (1/2-Y,1/2-Z,1/2+X) P 21 3 12 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) 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(1/2+Y,1/2-Z,1/2+X) (1/2-Y,1/2+Z,1/2+X) (1/2+Y,1/2+Z,1/2-X) F M -3 96 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,Z) (-X,Y,Z) (-Z,-X,-Y) (-Z,X,Y) (Z,X,-Y) (Z,-X,Y) (-Y,-Z,-X) (Y,-Z,X) (-Y,Z,X) (Y,Z,-X) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (Z,1/2+X,1/2+Y) (Z,1/2-X,1/2-Y) (-Z,1/2-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,1/2+Z,1/2+X) (-Y,1/2+Z,1/2-X) (Y,1/2-Z,1/2-X) (-Y,1/2-Z,1/2+X) (-X,1/2-Y,1/2-Z) (X,1/2+Y,1/2-Z) (X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2+Z) (-Z,1/2-X,1/2-Y) (-Z,1/2+X,1/2+Y) (Z,1/2+X,1/2-Y) (Z,1/2-X,1/2+Y) (-Y,1/2-Z,1/2-X) (Y,1/2-Z,1/2+X) (-Y,1/2+Z,1/2+X) (Y,1/2+Z,1/2-X) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2+Z,X,1/2+Y) (1/2+Z,-X,1/2-Y) (1/2-Z,-X,1/2+Y) (1/2-Z,X,1/2-Y) (1/2+Y,Z,1/2+X) (1/2-Y,Z,1/2-X) (1/2+Y,-Z,1/2-X) (1/2-Y,-Z,1/2+X) (1/2-X,-Y,1/2-Z) (1/2+X,Y,1/2-Z) (1/2+X,-Y,1/2+Z) (1/2-X,Y,1/2+Z) (1/2-Z,-X,1/2-Y) (1/2-Z,X,1/2+Y) 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(Y,1/2+Z,1/2+X) (-Y,1/2+Z,1/2-X) (Y,1/2-Z,1/2-X) (-Y,1/2-Z,1/2+X) (1/4-X,3/4-Y,3/4-Z) (1/4+X,3/4+Y,3/4-Z) (1/4+X,3/4-Y,3/4+Z) (1/4-X,3/4+Y,3/4+Z) (1/4-Z,3/4-X,3/4-Y) (1/4-Z,3/4+X,3/4+Y) (1/4+Z,3/4+X,3/4-Y) (1/4+Z,3/4-X,3/4+Y) (1/4-Y,3/4-Z,3/4-X) (1/4+Y,3/4-Z,3/4+X) (1/4-Y,3/4+Z,3/4+X) (1/4+Y,3/4+Z,3/4-X) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2+Z,X,1/2+Y) (1/2+Z,-X,1/2-Y) (1/2-Z,-X,1/2+Y) (1/2-Z,X,1/2-Y) (1/2+Y,Z,1/2+X) (1/2-Y,Z,1/2-X) (1/2+Y,-Z,1/2-X) (1/2-Y,-Z,1/2+X) (3/4-X,1/4-Y,3/4-Z) (3/4+X,1/4+Y,3/4-Z) (3/4+X,1/4-Y,3/4+Z) (3/4-X,1/4+Y,3/4+Z) (3/4-Z,1/4-X,3/4-Y) (3/4-Z,1/4+X,3/4+Y) (3/4+Z,1/4+X,3/4-Y) (3/4+Z,1/4-X,3/4+Y) (3/4-Y,1/4-Z,3/4-X) (3/4+Y,1/4-Z,3/4+X) (3/4-Y,1/4+Z,3/4+X) (3/4+Y,1/4+Z,3/4-X) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2+Z,1/2+X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,1/2-X,Y) (1/2-Z,1/2+X,-Y) (1/2+Y,1/2+Z,X) (1/2-Y,1/2+Z,-X) (1/2+Y,1/2-Z,-X) (1/2-Y,1/2-Z,X) (3/4-X,3/4-Y,1/4-Z) (3/4+X,3/4+Y,1/4-Z) (3/4+X,3/4-Y,Z+1/4) (3/4-X,3/4+Y,Z+1/4) (3/4-Z,3/4-X,1/4-Y) (3/4-Z,3/4+X,1/4+Y) (3/4+Z,3/4+X,1/4-Y) (3/4+Z,3/4-X,1/4+Y) (3/4-Y,3/4-Z,1/4-X) (3/4+Y,3/4-Z,1/4+X) (3/4-Y,3/4+Z,1/4+X) (3/4+Y,3/4+Z,1/4-X) I M -3 48 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (-X,-Y,-Z) (X,Y,-Z) (X,-Y,Z) (-X,Y,Z) (-Z,-X,-Y) (-Z,X,Y) (Z,X,-Y) (Z,-X,Y) (-Y,-Z,-X) (Y,-Z,X) (-Y,Z,X) (Y,Z,-X) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2+Z,1/2+X,1/2+Y) (1/2+Z,1/2-X,1/2-Y) (1/2-Z,1/2-X,1/2+Y) (1/2-Z,1/2+X,1/2-Y) (1/2+Y,1/2+Z,1/2+X) (1/2-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,1/2-X) (1/2-Y,1/2-Z,1/2+X) (1/2-X,1/2-Y,1/2-Z) (1/2+X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2+Z) (1/2-Z,1/2-X,1/2-Y) (1/2-Z,1/2+X,1/2+Y) (1/2+Z,1/2+X,1/2-Y) (1/2+Z,1/2-X,1/2+Y) (1/2-Y,1/2-Z,1/2-X) (1/2+Y,1/2-Z,1/2+X) (1/2-Y,1/2+Z,1/2+X) (1/2+Y,1/2+Z,1/2-X) P A -3 24 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,Z,X) (-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,-X) (1/2-Y,-Z,1/2+X) (-X,-Y,-Z) (1/2+X,Y,1/2-Z) (X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,Z) (-Z,-X,-Y) (1/2-Z,1/2+X,Y) (1/2+Z,X,1/2-Y) (Z,1/2-X,1/2+Y) (-Y,-Z,-X) (Y,1/2-Z,1/2+X) (1/2-Y,1/2+Z,X) (1/2+Y,Z,1/2-X) I A -3 48 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,Z,X) (-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,-X) (1/2-Y,-Z,1/2+X) (-X,-Y,-Z) (1/2+X,Y,1/2-Z) (X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,Z) (-Z,-X,-Y) (1/2-Z,1/2+X,Y) (1/2+Z,X,1/2-Y) (Z,1/2-X,1/2+Y) (-Y,-Z,-X) (Y,1/2-Z,1/2+X) (1/2-Y,1/2+Z,X) (1/2+Y,Z,1/2-X) (1/2+X,1/2+Y,1/2+Z) (-X,1/2-Y,Z) (1/2-X,+Y,-Z) (X,-Y,1/2-Z) (1/2+Z,1/2+X,1/2+Y) (Z,-X,1/2-Y) (-Z,1/2-X,Y) (1/2-Z,X,-Y) (1/2+Y,1/2+Z,1/2+X) (1/2-Y,Z,-X) (Y,-Z,1/2-X) (-Y,1/2-Z,X) (1/2-X,1/2-Y,1/2-Z) (X,1/2+Y,-Z) (1/2+X,-Y,Z) (-X,Y,1/2+Z) (1/2-Z,1/2-X,1/2-Y) (-Z,X,1/2+Y) (Z,1/2+X,-Y) (1/2+Z,-X,Y) (1/2-Y,1/2-Z,1/2-X) (1/2+Y,-Z,X) (-Y,Z,1/2+X) (Y,1/2+Z,-X) P 4 3 2 24 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (Y,X,-Z) (-Y,-X,-Z) (Y,-X,Z) (-Y,X,Z) (X,Z,-Y) (-X,Z,Y) (-X,-Z,-Y) (X,-Z,Y) (Z,Y,-X) (Z,-Y,X) (-Z,Y,X) (-Z,-Y,-X) P 42 3 2 24 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (1/2+Y,1/2+X,1/2-Z) (1/2-Y,1/2-X,1/2-Z) (1/2+Y,1/2-X,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+X,1/2+Z,1/2-Y) (1/2-X,1/2+Z,1/2+Y) (1/2-X,1/2-Z,1/2-Y) (1/2+X,1/2-Z,1/2+Y) (1/2+Z,1/2+Y,1/2-X) (1/2+Z,1/2-Y,1/2+X) (1/2-Z,1/2+Y,1/2+X) (1/2-Z,1/2-Y,1/2-X) F 4 3 2 96 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (Y,X,-Z) (-Y,-X,-Z) (Y,-X,Z) (-Y,X,Z) (X,Z,-Y) (-X,Z,Y) (-X,-Z,-Y) (X,-Z,Y) (Z,Y,-X) (Z,-Y,X) (-Z,Y,X) (-Z,-Y,-X) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (Z,1/2+X,1/2+Y) (Z,1/2-X,1/2-Y) (-Z,1/2-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,1/2+Z,1/2+X) (-Y,1/2+Z,1/2-X) (Y,1/2-Z,1/2-X) (-Y,1/2-Z,1/2+X) (Y,1/2+X,1/2-Z) (-Y,1/2-X,1/2-Z) (Y,1/2-X,1/2+Z) (-Y,1/2+X,1/2+Z) (X,1/2+Z,1/2-Y) (-X,1/2+Z,1/2+Y) (-X,1/2-Z,1/2-Y) (X,1/2-Z,1/2+Y) (Z,1/2+Y,1/2-X) (Z,1/2-Y,1/2+X) (-Z,1/2+Y,1/2+X) (-Z,1/2-Y,1/2-X) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2+Z,X,1/2+Y) (1/2+Z,-X,1/2-Y) (1/2-Z,-X,1/2+Y) (1/2-Z,X,1/2-Y) (1/2+Y,Z,1/2+X) (1/2-Y,Z,1/2-X) (1/2+Y,-Z,1/2-X) (1/2-Y,-Z,1/2+X) (1/2+Y,X,1/2-Z) (1/2-Y,-X,1/2-Z) (1/2+Y,-X,1/2+Z) (1/2-Y,X,1/2+Z) (1/2+X,Z,1/2-Y) (1/2-X,Z,1/2+Y) (1/2-X,-Z,1/2-Y) (1/2+X,-Z,1/2+Y) (1/2+Z,Y,1/2-X) (1/2+Z,-Y,1/2+X) (1/2-Z,Y,1/2+X) (1/2-Z,-Y,1/2-X) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2+Z,1/2+X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,1/2-X,Y) (1/2-Z,1/2+X,-Y) (1/2+Y,1/2+Z,X) (1/2-Y,1/2+Z,-X) (1/2+Y,1/2-Z,-X) (1/2-Y,1/2-Z,X) (1/2+Y,1/2+X,-Z) (1/2-Y,1/2-X,-Z) (1/2+Y,1/2-X,Z) (1/2-Y,1/2+X,Z) (1/2+X,1/2+Z,-Y) (1/2-X,1/2+Z,Y) (1/2-X,1/2-Z,-Y) (1/2+X,1/2-Z,Y) (1/2+Z,1/2+Y,-X) (1/2+Z,1/2-Y,X) (1/2-Z,1/2+Y,X) (1/2-Z,1/2-Y,-X) F 41 3 2 96 (X,Y,Z) (-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,-Z) (1/2+X,-Y,1/2-Z) (Z,X,Y) (1/2+Z,-X,1/2-Y) (-Z,1/2-X,1/2+Y) (1/2-Z,1/2+X,-Y) (Y,Z,X) (1/2-Y,1/2+Z,-X) (1/2+Y,-Z,1/2-X) (-Y,1/2-Z,1/2+X) (3/4+Y,1/4+X,3/4-Z) (1/4-Y,1/4-X,1/4-Z) (1/4+Y,3/4-X,3/4+Z) (3/4-Y,3/4+X,1/4+Z) (3/4+X,1/4+Z,3/4-Y) (3/4-X,3/4+Z,1/4+Y) (1/4-X,1/4-Z,1/4-Y) (1/4+X,3/4-Z,3/4+Y) (3/4+Z,1/4+Y,3/4-X) (1/4+Z,3/4-Y,3/4+X) (3/4-Z,3/4+Y,1/4+X) (1/4-Z,1/4-Y,1/4-X) (X,1/2+Y,1/2+Z) (-X,-Y,Z) (1/2-X,Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,1/2+X,1/2+Y) (1/2+Z,1/2-X,-Y) (-Z,-X,Y) (1/2-Z,X,1/2-Y) (Y,1/2+Z,1/2+X) (1/2-Y,Z,1/2-X) (1/2+Y,1/2-Z,-X) (-Y,-Z,X) (3/4+Y,3/4+X,1/4-Z) (1/4-Y,3/4-X,3/4-Z) (1/4+Y,1/4-X,1/4+Z) (3/4-Y,1/4+X,3/4+Z) (3/4+X,3/4+Z,1/4-Y) (3/4-X,1/4+Z,3/4+Y) (1/4-X,3/4-Z,3/4-Y) (1/4+X,1/4-Z,1/4+Y) (3/4+Z,3/4+Y,1/4-X) (1/4+Z,1/4-Y,1/4+X) (3/4-Z,1/4+Y,3/4+X) (1/4-Z,3/4-Y,3/4-X) (1/2+X,Y,1/2+Z) (1/2-X,1/2-Y,Z) (-X,1/2+Y,1/2-Z) (X,-Y,-Z) (1/2+Z,X,1/2+Y) (Z,-X,-Y) (1/2-Z,1/2-X,Y) (-Z,1/2+X,1/2-Y) (1/2+Y,Z,1/2+X) (-Y,1/2+Z,1/2-X) (Y,-Z,-X) (1/2-Y,1/2-Z,X) (1/4+Y,1/4+X,1/4-Z) (3/4-Y,1/4-X,3/4-Z) (3/4+Y,3/4-X,1/4+Z) (1/4-Y,3/4+X,3/4+Z) (1/4+X,1/4+Z,1/4-Y) (1/4-X,3/4+Z,3/4+Y) (3/4-X,1/4-Z,3/4-Y) (3/4+X,3/4-Z,1/4+Y) (1/4+Z,1/4+Y,1/4-X) (3/4+Z,3/4-Y,1/4+X) (1/4-Z,3/4+Y,3/4+X) (3/4-Z,1/4-Y,3/4-X) (1/2+X,1/2+Y,Z) (1/2-X,-Y,1/2+Z) (-X,Y,-Z) (X,1/2-Y,1/2-Z) (1/2+Z,1/2+X,Y) (Z,1/2-X,1/2-Y) (1/2-Z,-X,1/2+Y) (-Z,X,-Y) (1/2+Y,1/2+Z,X) (-Y,Z,-X) (Y,1/2-Z,1/2-X) (1/2-Y,-Z,1/2+X) (1/4+Y,3/4+X,3/4-Z) (3/4-Y,3/4-X,1/4-Z) (3/4+Y,1/4-X,3/4+Z) (1/4-Y,1/4+X,1/4+Z) (1/4+X,3/4+Z,3/4-Y) (1/4-X,1/4+Z,1/4+Y) (3/4-X,3/4-Z,1/4-Y) (3/4+X,1/4-Z,3/4+Y) (1/4+Z,3/4+Y,3/4-X) (3/4+Z,1/4-Y,3/4+X) (1/4-Z,1/4+Y,1/4+X) (3/4-Z,3/4-Y,1/4-X) I 4 3 2 48 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (Y,X,-Z) (-Y,-X,-Z) (Y,-X,Z) (-Y,X,Z) (X,Z,-Y) (-X,Z,Y) (-X,-Z,-Y) (X,-Z,Y) (Z,Y,-X) (Z,-Y,X) (-Z,Y,X) (-Z,-Y,-X) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2+Z,1/2+X,1/2+Y) (1/2+Z,1/2-X,1/2-Y) (1/2-Z,1/2-X,1/2+Y) (1/2-Z,1/2+X,1/2-Y) (1/2+Y,1/2+Z,1/2+X) (1/2-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,1/2-X) (1/2-Y,1/2-Z,1/2+X) (1/2+Y,1/2+X,1/2-Z) (1/2-Y,1/2-X,1/2-Z) (1/2+Y,1/2-X,1/2+Z) (1/2-Y,1/2+X,1/2+Z) (1/2+X,1/2+Z,1/2-Y) (1/2-X,1/2+Z,1/2+Y) (1/2-X,1/2-Z,1/2-Y) (1/2+X,1/2-Z,1/2+Y) (1/2+Z,1/2+Y,1/2-X) (1/2+Z,1/2-Y,1/2+X) (1/2-Z,1/2+Y,1/2+X) (1/2-Z,1/2-Y,1/2-X) P 43 3 2 24 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,Z,X) (-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,-X) (1/2-Y,-Z,1/2+X) (1/4+Y,3/4+X,3/4-Z) (1/4-Y,1/4-X,1/4-Z) (3/4+Y,3/4-X,1/4+Z) (3/4-Y,1/4+X,3/4+Z) (1/4+X,3/4+Z,3/4-Y) (3/4-X,1/4+Z,3/4+Y) (1/4-X,1/4-Z,1/4-Y) (3/4+X,3/4-Z,1/4+Y) (1/4+Z,3/4+Y,3/4-X) (3/4+Z,3/4-Y,1/4+X) (3/4-Z,1/4+Y,3/4+X) (1/4-Z,1/4-Y,1/4-X) P 41 3 2 24 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,Z,X) (-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,-X) (1/2-Y,-Z,1/2+X) (3/4+Y,1/4+X,1/4-Z) (3/4-Y,3/4-X,3/4-Z) (1/4+Y,1/4-X,3/4+Z) (1/4-Y,3/4+X,1/4+Z) (3/4+X,1/4+Z,1/4-Y) (1/4-X,3/4+Z,1/4+Y) (3/4-X,3/4-Z,3/4-Y) (1/4+X,1/4-Z,3/4+Y) (3/4+Z,1/4+Y,1/4-X) (1/4+Z,1/4-Y,3/4+X) (1/4-Z,3/4+Y,1/4+X) (3/4-Z,3/4-Y,3/4-X) I 41 3 2 48 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,Z,X) (-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,-X) (1/2-Y,-Z,1/2+X) (3/4+Y,1/4+X,1/4-Z) (3/4-Y,3/4-X,3/4-Z) (1/4+Y,1/4-X,3/4+Z) (1/4-Y,3/4+X,1/4+Z) (3/4+X,1/4+Z,1/4-Y) (1/4-X,3/4+Z,1/4+Y) (3/4-X,3/4-Z,3/4-Y) (1/4+X,1/4-Z,3/4+Y) (3/4+Z,1/4+Y,1/4-X) (1/4+Z,1/4-Y,3/4+X) (1/4-Z,3/4+Y,1/4+X) (3/4-Z,3/4-Y,3/4-X) (1/2+X,1/2+Y,1/2+Z) (-X,1/2-Y,Z) (1/2-X,Y,-Z) (X,-Y,1/2-Z) (1/2+Z,1/2+X,1/2+Y) (Z,-X,1/2-Y) (-Z,1/2-X,Y) (1/2-Z,X,-Y) (1/2+Y,1/2+Z,1/2+X) (1/2-Y,Z,-X) (Y,-Z,1/2-X) (-Y,1/2-Z,X) (1/4+Y,3/4+X,3/4-Z) (1/4-Y,1/4-X,1/4-Z) (3/4+Y,3/4-X,1/4+Z) (3/4-Y,1/4+X,3/4+Z) (1/4+X,3/4+Z,3/4-Y) (3/4-X,1/4+Z,3/4+Y) (1/4-X,1/4-Z,1/4-Y) (3/4+X,3/4-Z,1/4+Y) (1/4+Z,3/4+Y,3/4-X) (3/4+Z,3/4-Y,1/4+X) (3/4-Z,1/4+Y,3/4+X) (1/4-Z,1/4-Y,1/4-X) P -4 3 M 24 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (Y,X,Z) (-Y,-X,Z) (Y,-X,-Z) (-Y,X,-Z) (X,Z,Y) (-X,Z,-Y) (-X,-Z,Y) (X,-Z,-Y) (Z,Y,X) (Z,-Y,-X) (-Z,Y,-X) (-Z,-Y,X) F 4 -3 M 96 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (Y,X,Z) (-Y,-X,Z) (Y,-X,-Z) (-Y,X,-Z) (X,Z,Y) (-X,Z,-Y) (-X,-Z,Y) (X,-Z,-Y) (Z,Y,X) (Z,-Y,-X) (-Z,Y,-X) (-Z,-Y,X) (X,1/2+Y,1/2+Z) (-X,1/2-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (X,1/2-Y,1/2-Z) (Z,1/2+X,1/2+Y) (Z,1/2-X,1/2-Y) (-Z,1/2-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,1/2+Z,1/2+X) (-Y,1/2+Z,1/2-X) (Y,1/2-Z,1/2-X) (-Y,1/2-Z,1/2+X) (Y,1/2+X,1/2+Z) (-Y,1/2-X,1/2+Z) (Y,1/2-X,1/2-Z) (-Y,1/2+X,1/2-Z) (X,1/2+Z,1/2+Y) (-X,1/2+Z,1/2-Y) (-X,1/2-Z,1/2+Y) (X,1/2-Z,1/2-Y) (Z,1/2+Y,1/2+X) (Z,1/2-Y,1/2-X) (-Z,1/2+Y,1/2-X) (-Z,1/2-Y,1/2+X) (1/2+X,Y,1/2+Z) (1/2-X,-Y,1/2+Z) (1/2-X,Y,1/2-Z) (1/2+X,-Y,1/2-Z) (1/2+Z,X,1/2+Y) (1/2+Z,-X,1/2-Y) (1/2-Z,-X,1/2+Y) (1/2-Z,X,1/2-Y) (1/2+Y,Z,1/2+X) (1/2-Y,Z,1/2-X) (1/2+Y,-Z,1/2-X) (1/2-Y,-Z,1/2+X) (1/2+Y,X,1/2+Z) (1/2-Y,-X,1/2+Z) (1/2+Y,-X,1/2-Z) (1/2-Y,X,1/2-Z) (1/2+X,Z,1/2+Y) (1/2-X,Z,1/2-Y) (1/2-X,-Z,1/2+Y) (1/2+X,-Z,1/2-Y) (1/2+Z,Y,1/2+X) (1/2+Z,-Y,1/2-X) (1/2-Z,Y,1/2-X) (1/2-Z,-Y,1/2+X) (1/2+X,1/2+Y,Z) (1/2-X,1/2-Y,Z) (1/2-X,1/2+Y,-Z) (1/2+X,1/2-Y,-Z) (1/2+Z,1/2+X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,1/2-X,Y) (1/2-Z,1/2+X,-Y) (1/2+Y,1/2+Z,X) (1/2-Y,1/2+Z,-X) (1/2+Y,1/2-Z,-X) (1/2-Y,1/2-Z,X) (1/2+Y,1/2+X,Z) (1/2-Y,1/2-X,Z) (1/2+Y,1/2-X,-Z) (1/2-Y,1/2+X,-Z) (1/2+X,1/2+Z,Y) (1/2-X,1/2+Z,-Y) (1/2-X,1/2-Z,Y) (1/2+X,1/2-Z,-Y) (1/2+Z,1/2+Y,X) (1/2+Z,1/2-Y,-X) (1/2-Z,1/2+Y,-X) (1/2-Z,1/2-Y,X) I -4 3 M 48 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (Y,X,Z) (-Y,-X,Z) (Y,-X,-Z) (-Y,X,-Z) (X,Z,Y) (-X,Z,-Y) (-X,-Z,Y) (X,-Z,-Y) (Z,Y,X) (Z,-Y,-X) (-Z,Y,-X) (-Z,-Y,X) (1/2+X,1/2+Y,1/2+Z) (1/2-X,1/2-Y,1/2+Z) (1/2-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,1/2-Z) (1/2+Z,1/2+X,1/2+Y) (1/2+Z,1/2-X,1/2-Y) (1/2-Z,1/2-X,1/2+Y) (1/2-Z,1/2+X,1/2-Y) (1/2+Y,1/2+Z,1/2+X) (1/2-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,1/2-X) (1/2-Y,1/2-Z,1/2+X) (1/2+Y,1/2+X,1/2+Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2-X,1/2-Z) (1/2-Y,1/2+X,1/2-Z) (1/2+X,1/2+Z,1/2+Y) (1/2-X,1/2+Z,1/2-Y) (1/2-X,1/2-Z,1/2+Y) (1/2+X,1/2-Z,1/2-Y) (1/2+Z,1/2+Y,1/2+X) (1/2+Z,1/2-Y,1/2-X) (1/2-Z,1/2+Y,1/2-X) (1/2-Z,1/2-Y,1/2+X) P -4 3 N 24 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (1/2+Y,1/2+X,1/2+Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2-X,1/2-Z) (1/2-Y,1/2+X,1/2-Z) (1/2+X,1/2+Z,1/2+Y) (1/2-X,1/2+Z,1/2-Y) (1/2-X,1/2-Z,1/2+Y) (1/2+X,1/2-Z,1/2-Y) (1/2+Z,1/2+Y,1/2+X) (1/2+Z,1/2-Y,1/2-X) (1/2-Z,1/2+Y,1/2-X) (1/2-Z,1/2-Y,1/2+X) F -4 3 C 96 (X,Y,Z) (-X,-Y,Z) (-X,Y,-Z) (X,-Y,-Z) (Z,X,Y) (Z,-X,-Y) (-Z,-X,Y) (-Z,X,-Y) (Y,Z,X) (-Y,Z,-X) (Y,-Z,-X) (-Y,-Z,X) (1/2+Y,1/2+X,1/2+Z) (1/2-Y,1/2-X,1/2+Z) (1/2+Y,1/2-X,1/2-Z) (1/2-Y,1/2+X,1/2-Z) (1/2+X,1/2+Z,1/2+Y) (1/2-X,1/2+Z,1/2-Y) (1/2-X,1/2-Z,1/2+Y) (1/2+X,1/2-Z,1/2-Y) (1/2+Z,1/2+Y,1/2+X) (1/2+Z,1/2-Y,1/2-X) (1/2-Z,1/2+Y,1/2-X) (1/2-Z,1/2-Y,1/2+X) (X,Y+1/2,Z+1/2) (-X,-Y+1/2,Z+1/2) (-X,Y+1/2,-Z+1/2) (X,-Y+1/2,-Z+1/2) (Z,X+1/2,Y+1/2) (Z,-X+1/2,-Y+1/2) (-Z,-X+1/2,Y+1/2) (-Z,X+1/2,-Y+1/2) (Y,Z+1/2,X+1/2) (-Y,Z+1/2,-X+1/2) (Y,-Z+1/2,-X+1/2) (-Y,-Z+1/2,X+1/2) (1/2+Y,X,Z) (1/2-Y,-X,Z) (1/2+Y,-X,-Z) (1/2-Y,+X,-Z) (1/2+X,+Z,Y) (1/2-X,+Z,-Y) (1/2-X,-Z,Y) (1/2+X,-Z,-Y) (1/2+Z,+Y,X) (1/2+Z,-Y,-X) (1/2-Z,+Y,-X) (1/2-Z,-Y,X) (X+1/2,Y,Z+1/2) (-X+1/2,-Y,Z+1/2) (-X+1/2,Y,-Z+1/2) (X+1/2,-Y,-Z+1/2) (Z+1/2,X,Y+1/2) (Z+1/2,-X,-Y+1/2) (-Z+1/2,-X,Y+1/2) (-Z+1/2,X,-Y+1/2) (Y+1/2,Z,X+1/2) (-Y+1/2,Z,-X+1/2) (Y+1/2,-Z,-X+1/2) (-Y+1/2,-Z,X+1/2) (Y,1/2+X,Z) (-Y,1/2-X,Z) (Y,1/2-X,-Z) (-Y,1/2+X,-Z) (X,1/2+Z,Y) (-X,1/2+Z,-Y) (-X,1/2-Z,Y) (X,1/2-Z,-Y) (Z,1/2+Y,X) (Z,1/2-Y,-X) (-Z,1/2+Y,-X) (-Z,1/2-Y,X) (X+1/2,Y+1/2,Z) (-X+1/2,-Y+1/2,Z) (-X+1/2,Y+1/2,-Z) (X+1/2,-Y+1/2,-Z) (Z+1/2,X+1/2,Y) (Z+1/2,-X+1/2,-Y) (-Z+1/2,-X+1/2,Y) (-Z+1/2,X+1/2,-Y) (Y+1/2,Z+1/2,X) (-Y+1/2,Z+1/2,-X) (Y+1/2,-Z+1/2,-X) (-Y+1/2,-Z+1/2,X) (Y,X,1/2+Z) (-Y,-X,1/2+Z) (Y,-X,1/2-Z) (-Y,X,1/2-Z) (X,Z,1/2+Y) (-X,Z,1/2-Y) (-X,-Z,1/2+Y) (X,-Z,1/2-Y) (Z,Y,1/2+X) (Z,-Y,1/2-X) (-Z,Y,1/2-X) (-Z,-Y,1/2+X) I -4 3 D 48 (X,Y,Z) (1/2-X,-Y,1/2+Z) (-X,1/2+Y,1/2-Z) (1/2+X,1/2-Y,-Z) (Z,X,Y) (1/2+Z,1/2-X,-Y) (1/2-Z,-X,1/2+Y) (-Z,1/2+X,1/2-Y) (Y,Z,X) (-Y,1/2+Z,1/2-X) (1/2+Y,1/2-Z,-X) (1/2-Y,-Z,1/2+X) (1/4+Y,1/4+X,1/4+Z) (1/4-Y,3/4-X,3/4+Z) (3/4+Y,1/4-X,3/4-Z) (3/4-Y,3/4+X,1/4-Z) (1/4+X,1/4+Z,1/4+Y) (3/4-X,3/4+Z,1/4-Y) (1/4-X,3/4-Z,3/4+Y) (3/4+X,1/4-Z,3/4-Y) (1/4+Z,1/4+Y,1/4+X) (3/4+Z,1/4-Y,3/4-X) (3/4-Z,3/4+Y,1/4-X) (1/4-Z,3/4-Y,3/4+X) (X+1/2,Y+1/2,Z+1/2) (-X,-Y+1/2,Z) (-X+1/2,Y,-Z) (X,-Y,-Z+1/2) (Z+1/2,X+1/2,Y+1/2) (Z,-X,-Y+1/2) (-Z,-X+1/2,Y) (-Z+1/2,X,-Y) 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