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I4cm1' [#108.234] (Type: 2 -- Type II (grey group))

[OG: I4cm1' #108.2.893]

Operators of Group 108.234 (I4cm1')

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.-y,x,z
0,0,0
( 
  0  -1   0     0
  1   0   0     0
  0   0   1     0
 )
4+ 0,0,z +1 {4z|0,0,0}
4.y,-x,z
0,0,0
( 
  0   1   0     0
 -1   0   0     0
  0   0   1     0
 )
4- 0,0,z +1 {4z-1|0,0,0}
5.x,-y,z+1/2
0,0,0
( 
  1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 )
c x,0,z +1 {my|0,0,1/2}
6.-x,y,z+1/2
0,0,0
( 
 -1   0   0     0
  0   1   0     0
  0   0   1   1/2
 )
c 0,y,z +1 {mx|0,0,1/2}
7.-y,-x,z+1/2
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1   1/2
 )
c x,-x,z +1 {mxy|0,0,1/2}
8.y,x,z+1/2
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1   1/2
 )
c x,x,z +1 {m-xy|0,0,1/2}
9.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}
10d.-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}
11d.-y+1/2,x+1/2,z+1/2
-my,mx,mz
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
 )
4+ (0,0,1/2) 0,1/2,z +1 {4z|1/2,1/2,1/2}
12d.y+1/2,-x+1/2,z+1/2
my,-mx,mz
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
 )
4- (0,0,1/2) 1/2,0,z +1 {4z-1|1/2,1/2,1/2}