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Fm-31' [#202.23] (Type: 2 -- Type II (grey group))

[OG: Fm-31' #202.2.1525]

Operators of Group 202.23 (Fm-31')


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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.-x,y,-z
0,0,0
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
4.x,-y,-z
0,0,0
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
5.z,x,y
0,0,0
( 
  0   0   1     0
  1   0   0     0
  0   1   0     0
 )
3+ x,x,x +1 {3xyz|0,0,0}
6.z,-x,-y
0,0,0
( 
  0   0   1     0
 -1   0   0     0
  0  -1   0     0
 )
3+ -x,x,-x +1 {3x-yz-1|0,0,0}
7.-z,-x,y
0,0,0
( 
  0   0  -1     0
 -1   0   0     0
  0   1   0     0
 )
3+ x,-x,-x +1 {3-xyz-1|0,0,0}
8.-z,x,-y
0,0,0
( 
  0   0  -1     0
  1   0   0     0
  0  -1   0     0
 )
3+ -x,-x,x +1 {3xy-z-1|0,0,0}
9.y,z,x
0,0,0
( 
  0   1   0     0
  0   0   1     0
  1   0   0     0
 )
3- x,x,x +1 {3xyz-1|0,0,0}
10.-y,z,-x
0,0,0
( 
  0  -1   0     0
  0   0   1     0
 -1   0   0     0
 )
3- x,-x,-x +1 {3-xyz|0,0,0}
11.y,-z,-x
0,0,0
( 
  0   1   0     0
  0   0  -1     0
 -1   0   0     0
 )
3- -x,-x,x +1 {3xy-z|0,0,0}
12.-y,-z,x
0,0,0
( 
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
 )
3- -x,x,-x +1 {3x-yz|0,0,0}
13.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}
14.x,y,-z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
m x,y,0 +1 {mz|0,0,0}
15.x,-y,z
0,0,0
( 
  1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
m x,0,z +1 {my|0,0,0}
16.-x,y,z
0,0,0
( 
 -1   0   0     0
  0   1   0     0
  0   0   1     0
 )
m 0,y,z +1 {mx|0,0,0}
17.-z,-x,-y
0,0,0
( 
  0   0  -1     0
 -1   0   0     0
  0  -1   0     0
 )
-3+ x,x,x 0,0,0 +1 {-3xyz|0,0,0}
18.-z,x,y
0,0,0
( 
  0   0  -1     0
  1   0   0     0
  0   1   0     0
 )
-3+ -x,x,-x 0,0,0 +1 {-3x-yz-1|0,0,0}
19.z,x,-y
0,0,0
( 
  0   0   1     0
  1   0   0     0
  0  -1   0     0
 )
-3+ x,-x,-x 0,0,0 +1 {-3-xyz-1|0,0,0}
20.z,-x,y
0,0,0
( 
  0   0   1     0
 -1   0   0     0
  0   1   0     0
 )
-3+ -x,-x,x 0,0,0 +1 {-3xy-z-1|0,0,0}
21.-y,-z,-x
0,0,0
( 
  0  -1   0     0
  0   0  -1     0
 -1   0   0     0
 )
-3- x,x,x 0,0,0 +1 {-3xyz-1|0,0,0}
22.y,-z,x
0,0,0
( 
  0   1   0     0
  0   0  -1     0
  1   0   0     0
 )
-3- x,-x,-x 0,0,0 +1 {-3-xyz|0,0,0}
23.-y,z,x
0,0,0
( 
  0  -1   0     0
  0   0   1     0
  1   0   0     0
 )
-3- -x,-x,x 0,0,0 +1 {-3xy-z|0,0,0}
24.y,z,-x
0,0,0
( 
  0   1   0     0
  0   0   1     0
 -1   0   0     0
 )
-3- -x,x,-x 0,0,0 +1 {-3x-yz|0,0,0}
25.x,y+1/2,z+1/2
mx,my,mz
( 
  1   0   0     0
  0   1   0   1/2
  0   0   1   1/2
 )
t (0,1/2,1/2) +1 {1|0,1/2,1/2}
26d.-x,-y+1/2,z+1/2
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0   1/2
  0   0   1   1/2
 )
2 (0,0,1/2) 0,1/4,z +1 {2z|0,1/2,1/2}
27d.-x,y+1/2,-z+1/2
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1   1/2
 )
2 (0,1/2,0) 0,y,1/4 +1 {2y|0,1/2,1/2}
28d.x,-y+1/2,-z+1/2
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/2
 )
2 x,1/4,1/4 +1 {2x|0,1/2,1/2}
29d.z,x+1/2,y+1/2
mz,mx,my
( 
  0   0   1     0
  1   0   0   1/2
  0   1   0   1/2
 )
3+ (1/3,1/3,1/3) x-0.33333,x-1/6,x +1 {3xyz|0,1/2,1/2}
30d.z,-x+1/2,-y+1/2
mz,-mx,-my
( 
  0   0   1     0
 -1   0   0   1/2
  0  -1   0   1/2
 )
3+ -x,x+1/2,-x +1 {3x-yz-1|0,1/2,1/2}
31d.-z,-x+1/2,y+1/2
-mz,-mx,my
( 
  0   0  -1     0
 -1   0   0   1/2
  0   1   0   1/2
 )
3+ (-1/3,1/3,1/3) x+1/3,-x,-x +1 {3-xyz-1|0,1/2,1/2}
32d.-z,x+1/2,-y+1/2
-mz,mx,-my
( 
  0   0  -1     0
  1   0   0   1/2
  0  -1   0   1/2
 )
3+ -x,-x+1/2,x +1 {3xy-z-1|0,1/2,1/2}
33d.y,z+1/2,x+1/2
my,mz,mx
( 
  0   1   0     0
  0   0   1   1/2
  1   0   0   1/2
 )
3- (1/3,1/3,1/3) x-0.16666,x+1/6,x +1 {3xyz-1|0,1/2,1/2}
34d.-y,z+1/2,-x+1/2
-my,mz,-mx
( 
  0  -1   0     0
  0   0   1   1/2
 -1   0   0   1/2
 )
3- (-1/3,1/3,1/3) x+1/6,-x+1/6,-x +1 {3-xyz|0,1/2,1/2}
35d.y,-z+1/2,-x+1/2
my,-mz,-mx
( 
  0   1   0     0
  0   0  -1   1/2
 -1   0   0   1/2
 )
3- -x+1/2,-x+1/2,x +1 {3xy-z|0,1/2,1/2}
36d.-y,-z+1/2,x+1/2
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1   1/2
  1   0   0   1/2
 )
3- -x-1/2,x+1/2,-x +1 {3x-yz|0,1/2,1/2}