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Pn-31' [#201.19] (Type: 2 -- Type II (grey group))

[OG: Pn-31' #201.2.1521]

Operators of Group 201.19 (Pn-31')

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+1/2,-y+1/2,z
0,0,0
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1     0
 )
2 1/4,1/4,z +1 {2z|1/2,1/2,0}
3.-x+1/2,y,-z+1/2
0,0,0
( 
 -1   0   0   1/2
  0   1   0     0
  0   0  -1   1/2
 )
2 1/4,y,1/4 +1 {2y|1/2,0,1/2}
4.x,-y+1/2,-z+1/2
0,0,0
( 
  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}
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+1/2,-y+1/2
0,0,0
( 
  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}
7.-z+1/2,-x+1/2,y
0,0,0
( 
  0   0  -1   1/2
 -1   0   0   1/2
  0   1   0     0
 )
3+ x+1/2,-x,-x +1 {3-xyz-1|1/2,1/2,0}
8.-z+1/2,x,-y+1/2
0,0,0
( 
  0   0  -1   1/2
  1   0   0     0
  0  -1   0   1/2
 )
3+ -x+1/2,-x+1/2,x +1 {3xy-z-1|1/2,0,1/2}
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+1/2,z,-x+1/2
0,0,0
( 
  0  -1   0   1/2
  0   0   1     0
 -1   0   0   1/2
 )
3- x+1/2,-x,-x +1 {3-xyz|1/2,0,1/2}
11.y,-z+1/2,-x+1/2
0,0,0
( 
  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}
12.-y+1/2,-z+1/2,x
0,0,0
( 
  0  -1   0   1/2
  0   0  -1   1/2
  1   0   0     0
 )
3- -x,x+1/2,-x +1 {3x-yz|1/2,1/2,0}
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+1/2,y+1/2,-z
0,0,0
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0  -1     0
 )
n (1/2,1/2,0) x,y,0 +1 {mz|1/2,1/2,0}
15.x+1/2,-y,z+1/2
0,0,0
( 
  1   0   0   1/2
  0  -1   0     0
  0   0   1   1/2
 )
n (1/2,0,1/2) x,0,z +1 {my|1/2,0,1/2}
16.-x,y+1/2,z+1/2
0,0,0
( 
 -1   0   0     0
  0   1   0   1/2
  0   0   1   1/2
 )
n (0,1/2,1/2) 0,y,z +1 {mx|0,1/2,1/2}
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+1/2,y+1/2
0,0,0
( 
  0   0  -1     0
  1   0   0   1/2
  0   1   0   1/2
 )
-3+ -x-1,x+1/2,-x -1/2,0,1/2 +1 {-3x-yz-1|0,1/2,1/2}
19.z+1/2,x+1/2,-y
0,0,0
( 
  0   0   1   1/2
  1   0   0   1/2
  0  -1   0     0
 )
-3+ x-0.5,-x+1,-x 0,1/2,-1/2 +1 {-3-xyz-1|1/2,1/2,0}
20.z+1/2,-x,y+1/2
0,0,0
( 
  0   0   1   1/2
 -1   0   0     0
  0   1   0   1/2
 )
-3+ -x+1/2,-x,x 1/2,-1/2,0 +1 {-3xy-z-1|1/2,0,1/2}
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+1/2,-z,x+1/2
0,0,0
( 
  0   1   0   1/2
  0   0  -1     0
  1   0   0   1/2
 )
-3- x+1/2,-x,-x 0,-1/2,1/2 +1 {-3-xyz|1/2,0,1/2}
23.-y,z+1/2,x+1/2
0,0,0
( 
  0  -1   0     0
  0   0   1   1/2
  1   0   0   1/2
 )
-3- -x-1/2,-x+1/2,x -1/2,1/2,0 +1 {-3xy-z|0,1/2,1/2}
24.y+1/2,z+1/2,-x
0,0,0
( 
  0   1   0   1/2
  0   0   1   1/2
 -1   0   0     0
 )
-3- -x+1,x-1/2,-x 1/2,0,-1/2 +1 {-3x-yz|1/2,1/2,0}
25.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
26.-x+1/2,-y+1/2,z
0,0,0
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1     0
 ) '
2 1/4,1/4,z -1 {2z|1/2,1/2,0}'
27.-x+1/2,y,-z+1/2
0,0,0
( 
 -1   0   0   1/2
  0   1   0     0
  0   0  -1   1/2
 ) '
2 1/4,y,1/4 -1 {2y|1/2,0,1/2}'
28.x,-y+1/2,-z+1/2
0,0,0
( 
  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}'
29.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}'
30.z,-x+1/2,-y+1/2
0,0,0
( 
  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}'
31.-z+1/2,-x+1/2,y
0,0,0
( 
  0   0  -1   1/2
 -1   0   0   1/2
  0   1   0     0
 ) '
3+ x+1/2,-x,-x -1 {3-xyz-1|1/2,1/2,0}'
32.-z+1/2,x,-y+1/2
0,0,0
( 
  0   0  -1   1/2
  1   0   0     0
  0  -1   0   1/2
 ) '
3+ -x+1/2,-x+1/2,x -1 {3xy-z-1|1/2,0,1/2}'
33.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}'
34.-y+1/2,z,-x+1/2
0,0,0
( 
  0  -1   0   1/2
  0   0   1     0
 -1   0   0   1/2
 ) '
3- x+1/2,-x,-x -1 {3-xyz|1/2,0,1/2}'
35.y,-z+1/2,-x+1/2
0,0,0
( 
  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}'
36.-y+1/2,-z+1/2,x
0,0,0
( 
  0  -1   0   1/2
  0   0  -1   1/2
  1   0   0     0
 ) '
3- -x,x+1/2,-x -1 {3x-yz|1/2,1/2,0}'
37.-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}'
38.x+1/2,y+1/2,-z
0,0,0
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0  -1     0
 ) '
n (1/2,1/2,0) x,y,0 -1 {mz|1/2,1/2,0}'
39.x+1/2,-y,z+1/2
0,0,0
( 
  1   0   0   1/2
  0  -1   0     0
  0   0   1   1/2
 ) '
n (1/2,0,1/2) x,0,z -1 {my|1/2,0,1/2}'
40.-x,y+1/2,z+1/2
0,0,0
( 
 -1   0   0     0
  0   1   0   1/2
  0   0   1   1/2
 ) '
n (0,1/2,1/2) 0,y,z -1 {mx|0,1/2,1/2}'
41.-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}'
42.-z,x+1/2,y+1/2
0,0,0
( 
  0   0  -1     0
  1   0   0   1/2
  0   1   0   1/2
 ) '
-3+ -x-1,x+1/2,-x -1/2,0,1/2 -1 {-3x-yz-1|0,1/2,1/2}'
43.z+1/2,x+1/2,-y
0,0,0
( 
  0   0   1   1/2
  1   0   0   1/2
  0  -1   0     0
 ) '
-3+ x-0.5,-x+1,-x 0,1/2,-1/2 -1 {-3-xyz-1|1/2,1/2,0}'
44.z+1/2,-x,y+1/2
0,0,0
( 
  0   0   1   1/2
 -1   0   0     0
  0   1   0   1/2
 ) '
-3+ -x+1/2,-x,x 1/2,-1/2,0 -1 {-3xy-z-1|1/2,0,1/2}'
45.-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}'
46.y+1/2,-z,x+1/2
0,0,0
( 
  0   1   0   1/2
  0   0  -1     0
  1   0   0   1/2
 ) '
-3- x+1/2,-x,-x 0,-1/2,1/2 -1 {-3-xyz|1/2,0,1/2}'
47.-y,z+1/2,x+1/2
0,0,0
( 
  0  -1   0     0
  0   0   1   1/2
  1   0   0   1/2
 ) '
-3- -x-1/2,-x+1/2,x -1/2,1/2,0 -1 {-3xy-z|0,1/2,1/2}'
48.y+1/2,z+1/2,-x
0,0,0
( 
  0   1   0   1/2
  0   0   1   1/2
 -1   0   0     0
 ) '
-3- -x+1,x-1/2,-x 1/2,0,-1/2 -1 {-3x-yz|1/2,1/2,0}'


Go to the Wyckoff Positions of 201.19 (Pn-31')
Go to the extinction rules of 201.19 (Pn-31')


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