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P42321' [#208.45] (Type: 2 -- Type II (grey group))

[OG: P42321' #208.2.1547]

Operators of Group 208.45 (P42321')

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+1/2,x+1/2,-z+1/2
0,0,0
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
 )
2 (1/2,1/2,0) x,x,1/4 +1 {2xy|1/2,1/2,1/2}
14.-y+1/2,-x+1/2,-z+1/2
0,0,0
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
 )
2 x,-x+1/2,1/4 +1 {2-xy|1/2,1/2,1/2}
15.y+1/2,-x+1/2,z+1/2
0,0,0
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
 )
4- (0,0,1/2) 1/2,0,z +1 {4z-1|1/2,1/2,1/2}
16.-y+1/2,x+1/2,z+1/2
0,0,0
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
 )
4+ (0,0,1/2) 0,1/2,z +1 {4z|1/2,1/2,1/2}
17.x+1/2,z+1/2,-y+1/2
0,0,0
( 
  1   0   0   1/2
  0   0   1   1/2
  0  -1   0   1/2
 )
4- (1/2,0,0) x,1/2,0 +1 {4x-1|1/2,1/2,1/2}
18.-x+1/2,z+1/2,y+1/2
0,0,0
( 
 -1   0   0   1/2
  0   0   1   1/2
  0   1   0   1/2
 )
2 (0,1/2,1/2) 1/4,y,y +1 {2yz|1/2,1/2,1/2}
19.-x+1/2,-z+1/2,-y+1/2
0,0,0
( 
 -1   0   0   1/2
  0   0  -1   1/2
  0  -1   0   1/2
 )
2 1/4,y+1/2,-y +1 {2-yz|1/2,1/2,1/2}
20.x+1/2,-z+1/2,y+1/2
0,0,0
( 
  1   0   0   1/2
  0   0  -1   1/2
  0   1   0   1/2
 )
4+ (1/2,0,0) x,0,1/2 +1 {4x|1/2,1/2,1/2}
21.z+1/2,y+1/2,-x+1/2
0,0,0
( 
  0   0   1   1/2
  0   1   0   1/2
 -1   0   0   1/2
 )
4+ (0,1/2,0) 1/2,y,0 +1 {4y|1/2,1/2,1/2}
22.z+1/2,-y+1/2,x+1/2
0,0,0
( 
  0   0   1   1/2
  0  -1   0   1/2
  1   0   0   1/2
 )
2 (1/2,0,1/2) x,1/4,x +1 {2xz|1/2,1/2,1/2}
23.-z+1/2,y+1/2,x+1/2
0,0,0
( 
  0   0  -1   1/2
  0   1   0   1/2
  1   0   0   1/2
 )
4- (0,1/2,0) 0,y,1/2 +1 {4y-1|1/2,1/2,1/2}
24.-z+1/2,-y+1/2,-x+1/2
0,0,0
( 
  0   0  -1   1/2
  0  -1   0   1/2
 -1   0   0   1/2
 )
2 -x+1/2,1/4,x +1 {2-xz|1/2,1/2,1/2}
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+1/2,x+1/2,-z+1/2
0,0,0
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
 ) '
2 (1/2,1/2,0) x,x,1/4 -1 {2xy|1/2,1/2,1/2}'
38.-y+1/2,-x+1/2,-z+1/2
0,0,0
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
 ) '
2 x,-x+1/2,1/4 -1 {2-xy|1/2,1/2,1/2}'
39.y+1/2,-x+1/2,z+1/2
0,0,0
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
 ) '
4- (0,0,1/2) 1/2,0,z -1 {4z-1|1/2,1/2,1/2}'
40.-y+1/2,x+1/2,z+1/2
0,0,0
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
 ) '
4+ (0,0,1/2) 0,1/2,z -1 {4z|1/2,1/2,1/2}'
41.x+1/2,z+1/2,-y+1/2
0,0,0
( 
  1   0   0   1/2
  0   0   1   1/2
  0  -1   0   1/2
 ) '
4- (1/2,0,0) x,1/2,0 -1 {4x-1|1/2,1/2,1/2}'
42.-x+1/2,z+1/2,y+1/2
0,0,0
( 
 -1   0   0   1/2
  0   0   1   1/2
  0   1   0   1/2
 ) '
2 (0,1/2,1/2) 1/4,y,y -1 {2yz|1/2,1/2,1/2}'
43.-x+1/2,-z+1/2,-y+1/2
0,0,0
( 
 -1   0   0   1/2
  0   0  -1   1/2
  0  -1   0   1/2
 ) '
2 1/4,y+1/2,-y -1 {2-yz|1/2,1/2,1/2}'
44.x+1/2,-z+1/2,y+1/2
0,0,0
( 
  1   0   0   1/2
  0   0  -1   1/2
  0   1   0   1/2
 ) '
4+ (1/2,0,0) x,0,1/2 -1 {4x|1/2,1/2,1/2}'
45.z+1/2,y+1/2,-x+1/2
0,0,0
( 
  0   0   1   1/2
  0   1   0   1/2
 -1   0   0   1/2
 ) '
4+ (0,1/2,0) 1/2,y,0 -1 {4y|1/2,1/2,1/2}'
46.z+1/2,-y+1/2,x+1/2
0,0,0
( 
  0   0   1   1/2
  0  -1   0   1/2
  1   0   0   1/2
 ) '
2 (1/2,0,1/2) x,1/4,x -1 {2xz|1/2,1/2,1/2}'
47.-z+1/2,y+1/2,x+1/2
0,0,0
( 
  0   0  -1   1/2
  0   1   0   1/2
  1   0   0   1/2
 ) '
4- (0,1/2,0) 0,y,1/2 -1 {4y-1|1/2,1/2,1/2}'
48.-z+1/2,-y+1/2,-x+1/2
0,0,0
( 
  0   0  -1   1/2
  0  -1   0   1/2
 -1   0   0   1/2
 ) '
2 -x+1/2,1/4,x -1 {2-xz|1/2,1/2,1/2}'


Go to the Wyckoff Positions of 208.45 (P42321')
Go to the extinction rules of 208.45 (P42321')


Back to the list of magnetic space groups derived from P4232
Back to the list of Magnetic Space Groups

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