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P2c6/m [#175.6.1372] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pc6/m] #175.142

Operators of Group 175.6.1372 (P2c6/m)

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.-x,-y,-z
mx,my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}
4.x,y,-z
-mx,-my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
m x,y,0 +1 {mz|0,0,0}
5.x-y,x,z
mx-my,mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     0
 )
6+ 0,0,z +1 {6z|0,0,0}
6.-y,x-y,z
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
7.-x+y,-x,z
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
8.y,-x+y,z
my,-mx+my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     0
 )
6- 0,0,z +1 {6z-1|0,0,0}
9.-x+y,-x,-z
mx-my,mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     0
 )
-6+ 0,0,z; 0,0,0 +1 {-6z|0,0,0}
10.y,-x+y,-z
-my,mx-my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 )
-3+ 0,0,z; 0,0,0 +1 {-3z|0,0,0}
11.x-y,x,-z
-mx+my,-mx,mz
( 
  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}
12.-y,x-y,-z
my,-mx+my,mz
( 
  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}
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.-x,-y,-z+1
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     1
 ) '
-1 0,0,1/2 -1 {-1|0,0,1}'
16.x,y,-z+1
mx,my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     1
 ) '
m x,y,1/2 -1 {mz|0,0,1}'
17.x-y,x,z+1
-mx+my,-mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     1
 ) '
6+ (0,0,1) 0,0,z -1 {6z|0,0,1}'
18.-y,x-y,z+1
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     1
 ) '
3+ (0,0,1) 0,0,z -1 {3z|0,0,1}'
19.-x+y,-x,z+1
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     1
 ) '
3- (0,0,1) 0,0,z -1 {3z-1|0,0,1}'
20.y,-x+y,z+1
-my,mx-my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     1
 ) '
6- (0,0,1) 0,0,z -1 {6z-1|0,0,1}'
21.-x+y,-x,-z+1
-mx+my,-mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     1
 ) '
-6+ 0,0,z; 0,0,1/2 -1 {-6z|0,0,1}'
22.y,-x+y,-z+1
my,-mx+my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     1
 ) '
-3+ 0,0,z; 0,0,1/2 -1 {-3z|0,0,1}'
23.x-y,x,-z+1
mx-my,mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     1
 ) '
-3- 0,0,z; 0,0,1/2 -1 {-3z-1|0,0,1}'
24.-y,x-y,-z+1
-my,mx-my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1     1
 ) '
-6- 0,0,z; 0,0,1/2 -1 {-6z-1|0,0,1}'


Go to the Wyckoff Positions of 175.6.1372 (P2c6/m)
Go to the extinction rules of 175.142 (Pc6/m) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from P6/m
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