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P6mm1' [#183.186] (Type: 2 -- Type II (grey group))

[OG: P6mm1' #183.2.1416]

Operators of Group 183.186 (P6mm1')

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
 )
m x,-x,z +1 {mxy|0,0,0}
8.-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}
9.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}
10.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}
11.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}
12.-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}
13.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -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 -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 -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
 ) '
2 0,0,z -1 {2z|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 -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 -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}'


Go to the Wyckoff Positions of 183.186 (P6mm1')
Go to the extinction rules of 183.186 (P6mm1')


Back to the list of magnetic space groups derived from P6mm
Back to the list of Magnetic Space Groups

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