No. # | Coset Representative | Geometrical Interpretation |
Transformed WP |
1 | x,y,z | | 1 0 0 0
0 1 0 0
0 0 1 0 | |
| 1 | a b c d |
2 | x+1/2,y+1/2,z | | 1 0 0 1/2
0 1 0 1/2
0 0 1 0 | |
| t (1/2,1/2,0) | b a c d |
3 | y,x,z | | 0 1 0 0
1 0 0 0
0 0 1 0 | |
| m x,x,z | a b c d |
4 | y+1/2,x+1/2,z | | 0 1 0 1/2
1 0 0 1/2
0 0 1 0 | |
| g (1/2,1/2,0) x,x,z | b a c d |
5 | -x,-y,-z | | -1 0 0 0
0 -1 0 0
0 0 -1 0 | |
| -1 0,0,0 | a b c d |
6 | -x+1/2,-y+1/2,-z | | -1 0 0 1/2
0 -1 0 1/2
0 0 -1 0 | |
| -1 1/4,1/4,0 | b a c d |
7 | -y,-x,-z | | 0 -1 0 0
-1 0 0 0
0 0 -1 0 | |
| 2 x,-x,0 | a b c d |
8 | -y+1/2,-x+1/2,-z | | 0 -1 0 1/2
-1 0 0 1/2
0 0 -1 0 | |
| 2 x,-x+1/2,0 | b a c d |