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P2c62'22' [#180.7.1402] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pc6422] #181.178

Operators of Group 180.7.1402 (P2c62'22')

1.x,y,z
mx,my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.-x,-y,z
-mx,-my,mz
( 
 -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+2/3
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   2/3
 )
2 x,-x,1/3 +1 {2-xy|0,0,2/3}
4.y,x,-z+2/3
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   2/3
 )
2 x,x,1/3 +1 {2xy|0,0,2/3}
5.x-y,x,z+4/3
mx-my,mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   4/3
 )
6+ (0,0,4/3) 0,0,z +1 {6z|0,0,4/3}
6.-y,x-y,z+2/3
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   2/3
 )
3+ (0,0,2/3) 0,0,z +1 {3z|0,0,2/3}
7.-x+y,-x,z+4/3
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   4/3
 )
3- (0,0,4/3) 0,0,z +1 {3z-1|0,0,4/3}
8.y,-x+y,z+2/3
my,-mx+my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   2/3
 )
6- (0,0,2/3) 0,0,z +1 {6z-1|0,0,2/3}
9.x-y,-y,-z
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
10.x,x-y,-z+4/3
mx,mx-my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   4/3
 )
2 2x,x,2/3 +1 {21|0,0,4/3}
11.-x+y,y,-z
-mx+my,my,-mz
( 
 -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+4/3
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   4/3
 )
2 0,y,2/3 +1 {2y|0,0,4/3}
13.x,y,z+1
-mx,-my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     1
 ) '
t (0,0,1) -1 {1|0,0,1}'
14.-x,-y,z+1
mx,my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     1
 ) '
2 (0,0,1) 0,0,z -1 {2z|0,0,1}'
15.-y,-x,-z+5/3
my,mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   5/3
 ) '
2 x,-x,5/6 -1 {2-xy|0,0,5/3}'
16.y,x,-z+5/3
-my,-mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   5/3
 ) '
2 x,x,5/6 -1 {2xy|0,0,5/3}'
17.x-y,x,z+1/3
-mx+my,-mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/3
 ) '
6+ (0,0,1/3) 0,0,z -1 {6z|0,0,1/3}'
18.-y,x-y,z+5/3
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   5/3
 ) '
3+ (0,0,5/3) 0,0,z -1 {3z|0,0,5/3}'
19.-x+y,-x,z+1/3
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   1/3
 ) '
3- (0,0,1/3) 0,0,z -1 {3z-1|0,0,1/3}'
20.y,-x+y,z+5/3
-my,mx-my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   5/3
 ) '
6- (0,0,5/3) 0,0,z -1 {6z-1|0,0,5/3}'
21.x-y,-y,-z+1
-mx+my,my,mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     1
 ) '
2 x,0,1/2 -1 {2x|0,0,1}'
22.x,x-y,-z+1/3
-mx,-mx+my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   1/3
 ) '
2 2x,x,1/6 -1 {21|0,0,1/3}'
23.-x+y,y,-z+1
mx-my,-my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     1
 ) '
2 x,2x,1/2 -1 {22|0,0,1}'
24.-x,-x+y,-z+1/3
mx,mx-my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   1/3
 ) '
2 0,y,1/6 -1 {2y|0,0,1/3}'


Go to the Wyckoff Positions of 180.7.1402 (P2c62'22')
Go to the extinction rules of 181.178 (Pc6422) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from P6222
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