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P641' [#172.126] (Type: 2 -- Type II (grey group))

[OG: P641' #172.2.1356]

Operators of Group 172.126 (P641')

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.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
8.-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}'
9.-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}'
10.-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}'
11.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}'
12.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}'


Go to the Wyckoff Positions of 172.126 (P641')
Go to the extinction rules of 172.126 (P641')


Back to the list of magnetic space groups derived from P64
Back to the list of Magnetic Space Groups

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