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P6/mmm1' [#191.234] (Type: 2 -- Type II (grey group))

[OG: P6/mmm1' #191.2.1464]

Operators of Group 191.234 (P6/mmm1')

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
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
3.-x+y,-x,z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
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
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     0
 )
6- 0,0,z +1 {6z-1|0,0,0}
6.x-y,x,z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     0
 )
6+ 0,0,z +1 {6z|0,0,0}
7.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}
8.x-y,-y,-z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
9.-x,-x+y,-z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
10.-y,-x,-z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {23|0,0,0}
11.-x+y,y,-z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 )
2 x,2x,0 +1 {22|0,0,0}
12.x,x-y,-z
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
 )
2 2x,x,0 +1 {21|0,0,0}
13.-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}
14.y,-x+y,-z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 )
-3+ 0,0,z 0,0,0 +1 {-3z|0,0,0}
15.x-y,x,-z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-3- 0,0,z 0,0,0 +1 {-3z-1|0,0,0}
16.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}
17.-y,x-y,-z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1     0
 )
-6- 0,0,z 0,0,0 +1 {-6z-1|0,0,0}
18.-x+y,-x,-z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     0
 )
-6+ 0,0,z 0,0,0 +1 {-6z|0,0,0}
19.-y,-x,z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 )
m x,-x,z +1 {mxy|0,0,0}
20.-x+y,y,z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     0
 )
m x,2x,z +1 {mx|0,0,0}
21.x,x-y,z
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     0
 )
m 2x,x,z +1 {my|0,0,0}
22.y,x,z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 )
m x,x,z +1 {m3|0,0,0}
23.x-y,-y,z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
 )
m x,0,z +1 {m2|0,0,0}
24.-x,-x+y,z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
 )
m 0,y,z +1 {m1|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.-y,x-y,z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 ) '
3+ 0,0,z -1 {3z|0,0,0}'
27.-x+y,-x,z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
3- 0,0,z -1 {3z-1|0,0,0}'
28.-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}'
29.y,-x+y,z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     0
 ) '
6- 0,0,z -1 {6z-1|0,0,0}'
30.x-y,x,z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     0
 ) '
6+ 0,0,z -1 {6z|0,0,0}'
31.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}'
32.x-y,-y,-z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'
33.-x,-x+y,-z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
2 0,y,0 -1 {2y|0,0,0}'
34.-y,-x,-z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
2 x,-x,0 -1 {23|0,0,0}'
35.-x+y,y,-z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 ) '
2 x,2x,0 -1 {22|0,0,0}'
36.x,x-y,-z
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
 ) '
2 2x,x,0 -1 {21|0,0,0}'
37.-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}'
38.y,-x+y,-z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
-3+ 0,0,z 0,0,0 -1 {-3z|0,0,0}'
39.x-y,x,-z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-3- 0,0,z 0,0,0 -1 {-3z-1|0,0,0}'
40.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}'
41.-y,x-y,-z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1     0
 ) '
-6- 0,0,z 0,0,0 -1 {-6z-1|0,0,0}'
42.-x+y,-x,-z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
-6+ 0,0,z 0,0,0 -1 {-6z|0,0,0}'
43.-y,-x,z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
m x,-x,z -1 {mxy|0,0,0}'
44.-x+y,y,z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     0
 ) '
m x,2x,z -1 {mx|0,0,0}'
45.x,x-y,z
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     0
 ) '
m 2x,x,z -1 {my|0,0,0}'
46.y,x,z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 ) '
m x,x,z -1 {m3|0,0,0}'
47.x-y,-y,z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
 ) '
m x,0,z -1 {m2|0,0,0}'
48.-x,-x+y,z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
 ) '
m 0,y,z -1 {m1|0,0,0}'


Go to the Wyckoff Positions of 191.234 (P6/mmm1')
Go to the extinction rules of 191.234 (P6/mmm1')


Back to the list of magnetic space groups derived from P6/mmm
Back to the list of Magnetic Space Groups

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