#g3 f2 z0

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

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

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
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
0 1 1 -1 1 1
1 0 1 -1 -1 -1
1 1 0 1 -1 1
-1 -1 1 0 -1 1
1 -1 -1 -1 0 1
1 -1 1 1 1 0

2^3 * 3 * 5 = 120 % order of the group

