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I4'/mcm' [#140.545] (Type: 3 -- Type III (translationgleiche))

[OG: I4'/mcm' #140.5.1200]

Operators of Group 140.545 (I4'/mcm')

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