#g3 f2 z0

6x6
0 1 0 0 0 0
1 0 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 0 0 0 1 0
0 0 0 0 0 1

6x6
-1 0 0 0 0 0
1 1 1 1 1 0
0 -1 0 0 0 0
0 0 -1 0 0 0
0 0 0 -1 0 0
0 0 0 0 0 1

6x6
1 0 0 0 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 0 0 0 1 0
0 0 0 0 0 -1

6x6
2 1 1 1 1 0
1 2 1 1 1 0
1 1 2 1 1 0
1 1 1 2 1 0
1 1 1 1 2 0
0 0 0 0 0 0

6x6
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 1

2^6 * 3^2 * 5^1 = 2880 % order of the group
dim6/5-2;1b
