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P42/mmc1' [#131.436] (Type: 2 -- Type II (grey group))

[OG: P42/mmc1' #131.2.1098]

Operators of Group 131.436 (P42/mmc1')

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+1/2
0,0,0

(
  0  -1   0     0
  1   0   0     0
  0   0   1   1/2
)
4+ (0,0,1/2) 0,0,z +1 {4z|0,0,1/2}
4.y,-x,z+1/2
0,0,0

(
  0   1   0     0
 -1   0   0     0
  0   0   1   1/2
)
4- (0,0,1/2) 0,0,z +1 {4z-1|0,0,1/2}
5.-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}
6.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}
7.y,x,-z+1/2
0,0,0

(
  0   1   0     0
  1   0   0     0
  0   0  -1   1/2
)
2 x,x,1/4 +1 {2xy|0,0,1/2}
8.-y,-x,-z+1/2
0,0,0

(
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/2
)
2 x,-x,1/4 +1 {2-xy|0,0,1/2}
9.-x,-y,-z
0,0,0

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
)
-1 0,0,0 +1 {-1|0,0,0}
10.x,y,-z
0,0,0

(
  1   0   0     0
  0   1   0     0
  0   0  -1     0
)
m x,y,0 +1 {mz|0,0,0}
11.y,-x,-z+1/2
0,0,0

(
  0   1   0     0
 -1   0   0     0
  0   0  -1   1/2
)
-4+ 0,0,z 0,0,1/4 +1 {-4z|0,0,1/2}
12.-y,x,-z+1/2
0,0,0

(
  0  -1   0     0
  1   0   0     0
  0   0  -1   1/2
)
-4- 0,0,z 0,0,1/4 +1 {-4z-1|0,0,1/2}
13.x,-y,z
0,0,0

(
  1   0   0     0
  0  -1   0     0
  0   0   1     0
)
m x,0,z +1 {my|0,0,0}
14.-x,y,z
0,0,0

(
 -1   0   0     0
  0   1   0     0
  0   0   1     0
)
m 0,y,z +1 {mx|0,0,0}
15.-y,-x,z+1/2
0,0,0

(
  0  -1   0     0
 -1   0   0     0
  0   0   1   1/2
)
c x,-x,z +1 {mxy|0,0,1/2}
16.y,x,z+1/2
0,0,0

(
  0   1   0     0
  1   0   0     0
  0   0   1   1/2
)
c x,x,z +1 {m-xy|0,0,1/2}
17.x,y,z
0,0,0

(
  1   0   0     0
  0   1   0     0
  0   0   1     0
) '
1 -1 {1|0,0,0}'
18.-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}'
19.-y,x,z+1/2
0,0,0

(
  0  -1   0     0
  1   0   0     0
  0   0   1   1/2
) '
4+ (0,0,1/2) 0,0,z -1 {4z|0,0,1/2}'
20.y,-x,z+1/2
0,0,0

(
  0   1   0     0
 -1   0   0     0
  0   0   1   1/2
) '
4- (0,0,1/2) 0,0,z -1 {4z-1|0,0,1/2}'
21.-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}'
22.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}'
23.y,x,-z+1/2
0,0,0

(
  0   1   0     0
  1   0   0     0
  0   0  -1   1/2
) '
2 x,x,1/4 -1 {2xy|0,0,1/2}'
24.-y,-x,-z+1/2
0,0,0

(
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/2
) '
2 x,-x,1/4 -1 {2-xy|0,0,1/2}'
25.-x,-y,-z
0,0,0

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
) '
-1 0,0,0 -1 {-1|0,0,0}'
26.x,y,-z
0,0,0

(
  1   0   0     0
  0   1   0     0
  0   0  -1     0
) '
m x,y,0 -1 {mz|0,0,0}'
27.y,-x,-z+1/2
0,0,0

(
  0   1   0     0
 -1   0   0     0
  0   0  -1   1/2
) '
-4+ 0,0,z 0,0,1/4 -1 {-4z|0,0,1/2}'
28.-y,x,-z+1/2
0,0,0

(
  0  -1   0     0
  1   0   0     0
  0   0  -1   1/2
) '
-4- 0,0,z 0,0,1/4 -1 {-4z-1|0,0,1/2}'
29.x,-y,z
0,0,0

(
  1   0   0     0
  0  -1   0     0
  0   0   1     0
) '
m x,0,z -1 {my|0,0,0}'
30.-x,y,z
0,0,0

(
 -1   0   0     0
  0   1   0     0
  0   0   1     0
) '
m 0,y,z -1 {mx|0,0,0}'
31.-y,-x,z+1/2
0,0,0

(
  0  -1   0     0
 -1   0   0     0
  0   0   1   1/2
) '
c x,-x,z -1 {mxy|0,0,1/2}'
32.y,x,z+1/2
0,0,0

(
  0   1   0     0
  1   0   0     0
  0   0   1   1/2
) '
c x,x,z -1 {m-xy|0,0,1/2}'


Go to the Wyckoff Positions of 131.436 (P42/mmc1')
Go to the extinction rules of 131.436 (P42/mmc1')



Back to the list of magnetic space groups derived from P42/mmc
Back to the list of Magnetic Space Groups

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