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IPmma [#74.8.657] (Type: 4 -- Type IV (klassengleiche))

[BNS: PImma] #51.304

Operators of Group 74.8.657 (IPmma)


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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 x,0,0 +1 {2x|0,0,0}
3.-x,y+1/2,-z
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1     0
 )
2 (0,1/2,0) 0,y,0 +1 {2y|0,1/2,0}
4.-x,-y+1/2,z
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0   1/2
  0   0   1     0
 )
2 0,1/4,z +1 {2z|0,1/2,0}
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 0,y,z +1 {mx|0,0,0}
7.x,-y+1/2,z
-mx,my,-mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0   1     0
 )
m x,1/4,z +1 {my|0,1/2,0}
8.x,y+1/2,-z
-mx,-my,mz
( 
  1   0   0     0
  0   1   0   1/2
  0   0  -1     0
 )
b x,y,0 +1 {mz|0,1/2,0}
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}'
10.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}'