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R32 [#155.45] (Type: 1 -- Type I (Fedorov))

[OG: R32 #155.1.1275]

Operators of Group 155.45 (R32)

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.-y,x-y,z
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
3.-x+y,-x,z
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
4.y,x,-z
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 )
2 x,x,0 +1 {2xy|0,0,0}
5.x-y,-y,-z
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
6.-x,-x+y,-z
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
7.x+2/3,y+1/3,z+1/3
mx,my,mz
( 
  1   0   0   2/3
  0   1   0   1/3
  0   0   1   1/3
 )
t (2/3,1/3,1/3) +1 {1|2/3,1/3,1/3}
8d.-y+2/3,x-y+1/3,z+1/3
-my,mx-my,mz
( 
  0  -1   0   2/3
  1  -1   0   1/3
  0   0   1   1/3
 )
3+ (0,0,1/3) 1/3,1/3,z +1 {3z|2/3,1/3,1/3}
9d.-x+y+2/3,-x+1/3,z+1/3
-mx+my,-mx,mz
( 
 -1   1   0   2/3
 -1   0   0   1/3
  0   0   1   1/3
 )
3- (0,0,1/3) 1/3,0,z +1 {3z-1|2/3,1/3,1/3}
10d.y+2/3,x+1/3,-z+1/3
my,mx,-mz
( 
  0   1   0   2/3
  1   0   0   1/3
  0   0  -1   1/3
 )
2 (1/2,1/2,0) x,x-0.16668,1/6 +1 {2xy|2/3,1/3,1/3}
11d.x-y+2/3,-y+1/3,-z+1/3
mx-my,-my,-mz
( 
  1  -1   0   2/3
  0  -1   0   1/3
  0   0  -1   1/3
 )
2 (1/2,0,0) x,1/6,1/6 +1 {2x|2/3,1/3,1/3}
12d.-x+2/3,-x+y+1/3,-z+1/3
-mx,-mx+my,-mz
( 
 -1   0   0   2/3
 -1   1   0   1/3
  0   0  -1   1/3
 )
2 1/3,y,1/6 +1 {2y|2/3,1/3,1/3}
13.x+1/3,y+2/3,z+2/3
mx,my,mz
( 
  1   0   0   1/3
  0   1   0   2/3
  0   0   1   2/3
 )
t (1/3,2/3,2/3) +1 {1|1/3,2/3,2/3}
14d.-y+1/3,x-y+2/3,z+2/3
-my,mx-my,mz
( 
  0  -1   0   1/3
  1  -1   0   2/3
  0   0   1   2/3
 )
3+ (0,0,2/3) 0,1/3,z +1 {3z|1/3,2/3,2/3}
15d.-x+y+1/3,-x+2/3,z+2/3
-mx+my,-mx,mz
( 
 -1   1   0   1/3
 -1   0   0   2/3
  0   0   1   2/3
 )
3- (0,0,2/3) 1/3,1/3,z +1 {3z-1|1/3,2/3,2/3}
16d.y+1/3,x+2/3,-z+2/3
my,mx,-mz
( 
  0   1   0   1/3
  1   0   0   2/3
  0   0  -1   2/3
 )
2 (1/2,1/2,0) x,x+0.16668,1/3 +1 {2xy|1/3,2/3,2/3}
17d.x-y+1/3,-y+2/3,-z+2/3
mx-my,-my,-mz
( 
  1  -1   0   1/3
  0  -1   0   2/3
  0   0  -1   2/3
 )
2 x,1/3,1/3 +1 {2x|1/3,2/3,2/3}
18d.-x+1/3,-x+y+2/3,-z+2/3
-mx,-mx+my,-mz
( 
 -1   0   0   1/3
 -1   1   0   2/3
  0   0  -1   2/3
 )
2 (0,1/2,0) 1/6,y,1/3 +1 {2y|1/3,2/3,2/3}
Show/Hide Derived operators due to the centring translations


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