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P-421m1' [#113.268] (Type: 2 -- Type II (grey group))

[OG: P-421m1' #113.2.930]

Operators of Group 113.268 (P-421m1')

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.y,-x,-z
0,0,0
( 
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
 )
-4+ 0,0,z 0,0,0 +1 {-4z|0,0,0}
4.-y,x,-z
0,0,0
( 
  0  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-4- 0,0,z 0,0,0 +1 {-4z-1|0,0,0}
5.-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 (0,1/2,0) 1/4,y,0 +1 {2y|1/2,1/2,0}
6.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 (1/2,0,0) x,1/4,0 +1 {2x|1/2,1/2,0}
7.-y+1/2,-x+1/2,z
0,0,0
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1     0
 )
m x+1/2,-x,z +1 {mxy|1/2,1/2,0}
8.y+1/2,x+1/2,z
0,0,0
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0   1     0
 )
g (1/2,1/2,0) x,x,z +1 {m-xy|1/2,1/2,0}
9.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
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,-z
0,0,0
( 
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
-4+ 0,0,z 0,0,0 -1 {-4z|0,0,0}'
12.-y,x,-z
0,0,0
( 
  0  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-4- 0,0,z 0,0,0 -1 {-4z-1|0,0,0}'
13.-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 (0,1/2,0) 1/4,y,0 -1 {2y|1/2,1/2,0}'
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
 ) '
2 (1/2,0,0) x,1/4,0 -1 {2x|1/2,1/2,0}'
15.-y+1/2,-x+1/2,z
0,0,0
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1     0
 ) '
m x+1/2,-x,z -1 {mxy|1/2,1/2,0}'
16.y+1/2,x+1/2,z
0,0,0
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0   1     0
 ) '
g (1/2,1/2,0) x,x,z -1 {m-xy|1/2,1/2,0}'


Go to the Wyckoff Positions of 113.268 (P-421m1')
Go to the extinction rules of 113.268 (P-421m1')


Back to the list of magnetic space groups derived from P-421m
Back to the list of Magnetic Space Groups

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