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C2'2'21 [#20.33] (Type: 3 -- Type III (translationgleiche))

[OG: C2'2'21 #20.3.124]

Operators of Group 20.33 (C2'2'21)

1.x,y,z
mx,my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.-x,-y,z+1/2
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 0,0,z +1 {2z|0,0,1/2}
3.x+1/2,y+1/2,z
mx,my,mz
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0   1     0
 )
t (1/2,1/2,0) +1 {1|1/2,1/2,0}
4d.-x+1/2,-y+1/2,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1   1/2
 )
2 (0,0,1/2) 1/4,1/4,z +1 {2z|1/2,1/2,1/2}
5.-x,y,-z+1/2
mx,-my,mz
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
2 0,y,1/4 -1 {2y|0,0,1/2}'
6.x,-y,-z
-mx,my,mz
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'