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Pm-3m [#221.92] (Type: 1 -- Type I (Fedorov))

[OG: Pm-3m #221.1.1594]

Operators of Group 221.92 (Pm-3m)

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
-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,-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}
5.z,x,y
mz,mx,my
( 
  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
mz,-mx,-my
( 
  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
-mz,-mx,my
( 
  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
-mz,mx,-my
( 
  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
my,mz,mx
( 
  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
-my,mz,-mx
( 
  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
my,-mz,-mx
( 
  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
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
 )
3- -x,x,-x +1 {3x-yz|0,0,0}
13.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}
14.-y,-x,-z
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {2-xy|0,0,0}
15.y,-x,z
my,-mx,mz
( 
  0   1   0     0
 -1   0   0     0
  0   0   1     0
 )
4- 0,0,z +1 {4z-1|0,0,0}
16.-y,x,z
-my,mx,mz
( 
  0  -1   0     0
  1   0   0     0
  0   0   1     0
 )
4+ 0,0,z +1 {4z|0,0,0}
17.x,z,-y
mx,mz,-my
( 
  1   0   0     0
  0   0   1     0
  0  -1   0     0
 )
4- x,0,0 +1 {4x-1|0,0,0}
18.-x,z,y
-mx,mz,my
( 
 -1   0   0     0
  0   0   1     0
  0   1   0     0
 )
2 0,y,y +1 {2yz|0,0,0}
19.-x,-z,-y
-mx,-mz,-my
( 
 -1   0   0     0
  0   0  -1     0
  0  -1   0     0
 )
2 0,y,-y +1 {2-yz|0,0,0}
20.x,-z,y
mx,-mz,my
( 
  1   0   0     0
  0   0  -1     0
  0   1   0     0
 )
4+ x,0,0 +1 {4x|0,0,0}
21.z,y,-x
mz,my,-mx
( 
  0   0   1     0
  0   1   0     0
 -1   0   0     0
 )
4+ 0,y,0 +1 {4y|0,0,0}
22.z,-y,x
mz,-my,mx
( 
  0   0   1     0
  0  -1   0     0
  1   0   0     0
 )
2 x,0,x +1 {2xz|0,0,0}
23.-z,y,x
-mz,my,mx
( 
  0   0  -1     0
  0   1   0     0
  1   0   0     0
 )
4- 0,y,0 +1 {4y-1|0,0,0}
24.-z,-y,-x
-mz,-my,-mx
( 
  0   0  -1     0
  0  -1   0     0
 -1   0   0     0
 )
2 -x,0,x +1 {2-xz|0,0,0}
25.-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}
26.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}
27.x,-y,z
-mx,my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
m x,0,z +1 {my|0,0,0}
28.-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}
29.-z,-x,-y
mz,mx,my
( 
  0   0  -1     0
 -1   0   0     0
  0  -1   0     0
 )
-3+ x,x,x 0,0,0 +1 {-3xyz|0,0,0}
30.-z,x,y
mz,-mx,-my
( 
  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}
31.z,x,-y
-mz,-mx,my
( 
  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}
32.z,-x,y
-mz,mx,-my
( 
  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}
33.-y,-z,-x
my,mz,mx
( 
  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}
34.y,-z,x
-my,mz,-mx
( 
  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}
35.-y,z,x
my,-mz,-mx
( 
  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}
36.y,z,-x
-my,-mz,mx
( 
  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}
37.-y,-x,z
my,mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 )
m x,-x,z +1 {mxy|0,0,0}
38.y,x,z
-my,-mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 )
m x,x,z +1 {m-xy|0,0,0}
39.-y,x,-z
my,-mx,mz
( 
  0  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-4- 0,0,z 0,0,0 +1 {-4z-1|0,0,0}
40.y,-x,-z
-my,mx,mz
( 
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
 )
-4+ 0,0,z 0,0,0 +1 {-4z|0,0,0}
41.-x,-z,y
mx,mz,-my
( 
 -1   0   0     0
  0   0  -1     0
  0   1   0     0
 )
-4- x,0,0 0,0,0 +1 {-4x-1|0,0,0}
42.x,-z,-y
-mx,mz,my
( 
  1   0   0     0
  0   0  -1     0
  0  -1   0     0
 )
m x,y,-y +1 {myz|0,0,0}
43.x,z,y
-mx,-mz,-my
( 
  1   0   0     0
  0   0   1     0
  0   1   0     0
 )
m x,y,y +1 {m-yz|0,0,0}
44.-x,z,-y
mx,-mz,my
( 
 -1   0   0     0
  0   0   1     0
  0  -1   0     0
 )
-4+ x,0,0 0,0,0 +1 {-4x|0,0,0}
45.-z,-y,x
mz,my,-mx
( 
  0   0  -1     0
  0  -1   0     0
  1   0   0     0
 )
-4+ 0,y,0 0,0,0 +1 {-4y|0,0,0}
46.-z,y,-x
mz,-my,mx
( 
  0   0  -1     0
  0   1   0     0
 -1   0   0     0
 )
m -x,y,x +1 {mxz|0,0,0}
47.z,-y,-x
-mz,my,mx
( 
  0   0   1     0
  0  -1   0     0
 -1   0   0     0
 )
-4- 0,y,0 0,0,0 +1 {-4y-1|0,0,0}
48.z,y,x
-mz,-my,-mx
( 
  0   0   1     0
  0   1   0     0
  1   0   0     0
 )
m x,y,x +1 {m-xz|0,0,0}


Go to the Wyckoff Positions of 221.92 (Pm-3m)
Go to the extinction rules of 221.92 (Pm-3m)


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