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P4321' [#207.41] (Type: 2 -- Type II (grey group))

[OG: P4321' #207.2.1543]

Operators of Group 207.41 (P4321')

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.y,x,-z
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
 -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
0,0,0
( 
 -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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  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
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
26.-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}'
27.-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}'
28.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}'
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,-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}'
31.-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}'
32.-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}'
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,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}'
35.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}'
36.-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}'
37.y,x,-z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
2 x,x,0 -1 {2xy|0,0,0}'
38.-y,-x,-z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
2 x,-x,0 -1 {2-xy|0,0,0}'
39.y,-x,z
0,0,0
( 
  0   1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
4- 0,0,z -1 {4z-1|0,0,0}'
40.-y,x,z
0,0,0
( 
  0  -1   0     0
  1   0   0     0
  0   0   1     0
 ) '
4+ 0,0,z -1 {4z|0,0,0}'
41.x,z,-y
0,0,0
( 
  1   0   0     0
  0   0   1     0
  0  -1   0     0
 ) '
4- x,0,0 -1 {4x-1|0,0,0}'
42.-x,z,y
0,0,0
( 
 -1   0   0     0
  0   0   1     0
  0   1   0     0
 ) '
2 0,y,y -1 {2yz|0,0,0}'
43.-x,-z,-y
0,0,0
( 
 -1   0   0     0
  0   0  -1     0
  0  -1   0     0
 ) '
2 0,y,-y -1 {2-yz|0,0,0}'
44.x,-z,y
0,0,0
( 
  1   0   0     0
  0   0  -1     0
  0   1   0     0
 ) '
4+ x,0,0 -1 {4x|0,0,0}'
45.z,y,-x
0,0,0
( 
  0   0   1     0
  0   1   0     0
 -1   0   0     0
 ) '
4+ 0,y,0 -1 {4y|0,0,0}'
46.z,-y,x
0,0,0
( 
  0   0   1     0
  0  -1   0     0
  1   0   0     0
 ) '
2 x,0,x -1 {2xz|0,0,0}'
47.-z,y,x
0,0,0
( 
  0   0  -1     0
  0   1   0     0
  1   0   0     0
 ) '
4- 0,y,0 -1 {4y-1|0,0,0}'
48.-z,-y,-x
0,0,0
( 
  0   0  -1     0
  0  -1   0     0
 -1   0   0     0
 ) '
2 -x,0,x -1 {2-xz|0,0,0}'


Go to the Wyckoff Positions of 207.41 (P4321')
Go to the extinction rules of 207.41 (P4321')


Back to the list of magnetic space groups derived from P432
Back to the list of Magnetic Space Groups

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