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P-6c21' [#188.216] (Type: 2 -- Type II (grey group))

[OG: P-6c21' #188.2.1447]

Operators of Group 188.216 (P-6c21')

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+1/2
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 )
m x,y,1/4 +1 {mz|0,0,1/2}
5.-y,x-y,-z+1/2
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1   1/2
 )
-6- 0,0,z 0,0,1/4 +1 {-6z-1|0,0,1/2}
6.-x+y,-x,-z+1/2
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1   1/2
 )
-6+ 0,0,z 0,0,1/4 +1 {-6z|0,0,1/2}
7.-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}
8.-x+y,y,z+1/2
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0   1   1/2
 )
c x,2x,z +1 {mx|0,0,1/2}
9.x,x-y,z+1/2
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0   1   1/2
 )
c 2x,x,z +1 {my|0,0,1/2}
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 -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+1/2
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
m x,y,1/4 -1 {mz|0,0,1/2}'
17.-y,x-y,-z+1/2
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1   1/2
 ) '
-6- 0,0,z 0,0,1/4 -1 {-6z-1|0,0,1/2}'
18.-x+y,-x,-z+1/2
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1   1/2
 ) '
-6+ 0,0,z 0,0,1/4 -1 {-6z|0,0,1/2}'
19.-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}'
20.-x+y,y,z+1/2
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0   1   1/2
 ) '
c x,2x,z -1 {mx|0,0,1/2}'
21.x,x-y,z+1/2
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0   1   1/2
 ) '
c 2x,x,z -1 {my|0,0,1/2}'
22.-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}'
23.-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}'
24.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}'


Go to the Wyckoff Positions of 188.216 (P-6c21')
Go to the extinction rules of 188.216 (P-6c21')


Back to the list of magnetic space groups derived from P-6c2
Back to the list of Magnetic Space Groups

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