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P64221' [#181.174] (Type: 2 -- Type II (grey group))

[OG: P64221' #181.2.1404]

Operators of Group 181.174 (P64221')

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.-y,x-y,z+1/3
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   1/3
 )
3+ (0,0,1/3) 0,0,z +1 {3z|0,0,1/3}
3.-x+y,-x,z+2/3
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   2/3
 )
3- (0,0,2/3) 0,0,z +1 {3z-1|0,0,2/3}
4.-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}
5.y,-x+y,z+1/3
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/3
 )
6- (0,0,1/3) 0,0,z +1 {6z-1|0,0,1/3}
6.x-y,x,z+2/3
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   2/3
 )
6+ (0,0,2/3) 0,0,z +1 {6z|0,0,2/3}
7.y,x,-z+1/3
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   1/3
 )
2 x,x,1/6 +1 {2xy|0,0,1/3}
8.x-y,-y,-z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
9.-x,-x+y,-z+2/3
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   2/3
 )
2 0,y,1/3 +1 {2y|0,0,2/3}
10.-y,-x,-z+1/3
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/3
 )
2 x,-x,1/6 +1 {23|0,0,1/3}
11.-x+y,y,-z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 )
2 x,2x,0 +1 {22|0,0,0}
12.x,x-y,-z+2/3
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   2/3
 )
2 2x,x,1/3 +1 {21|0,0,2/3}
13.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
14.-y,x-y,z+1/3
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   1/3
 ) '
3+ (0,0,1/3) 0,0,z -1 {3z|0,0,1/3}'
15.-x+y,-x,z+2/3
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   2/3
 ) '
3- (0,0,2/3) 0,0,z -1 {3z-1|0,0,2/3}'
16.-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}'
17.y,-x+y,z+1/3
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/3
 ) '
6- (0,0,1/3) 0,0,z -1 {6z-1|0,0,1/3}'
18.x-y,x,z+2/3
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   2/3
 ) '
6+ (0,0,2/3) 0,0,z -1 {6z|0,0,2/3}'
19.y,x,-z+1/3
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   1/3
 ) '
2 x,x,1/6 -1 {2xy|0,0,1/3}'
20.x-y,-y,-z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'
21.-x,-x+y,-z+2/3
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   2/3
 ) '
2 0,y,1/3 -1 {2y|0,0,2/3}'
22.-y,-x,-z+1/3
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/3
 ) '
2 x,-x,1/6 -1 {23|0,0,1/3}'
23.-x+y,y,-z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 ) '
2 x,2x,0 -1 {22|0,0,0}'
24.x,x-y,-z+2/3
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   2/3
 ) '
2 2x,x,1/3 -1 {21|0,0,2/3}'


Go to the Wyckoff Positions of 181.174 (P64221')
Go to the extinction rules of 181.174 (P64221')


Back to the list of magnetic space groups derived from P6422
Back to the list of Magnetic Space Groups

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