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PP4'/mmm' [#123.17.1015] (Type: 4 -- Type IV (klassengleiche))

[BNS: PC4/mbm] #127.397

Operators of Group 123.17.1015 (PP4'/mmm')


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