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I2221' [#23.50] (Type: 2 -- Type II (grey group))

[OG: I2221' #23.2.146]

Operators of Group 23.50 (I2221')


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1.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.-x,-y,z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
2 0,0,z +1 {2z|0,0,0}
3.-x,y,-z
0,0,0
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
4.x,-y,-z
0,0,0
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
5.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
 )
t (1/2,1/2,1/2) +1 {1|1/2,1/2,1/2}
6d.-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}
7d.-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 (0,1/2,0) 1/4,y,1/4 +1 {2y|1/2,1/2,1/2}
8d.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 (1/2,0,0) x,1/4,1/4 +1 {2x|1/2,1/2,1/2}
9.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
10.-x,-y,z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
 ) '
2 0,0,z -1 {2z|0,0,0}'
11.-x,y,-z
0,0,0
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1     0
 ) '
2 0,y,0 -1 {2y|0,0,0}'
12.x,-y,-z
0,0,0
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'