#g3 f7 n1 c4
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 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
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 0 0 0
1 2 1 0 0 0
1 1 2 0 0 0
0 0 0 0 0 0
0 0 0 0 0 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 1 0 0
0 0 0 0 0 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 1 0
0 0 0 1 0 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 1
0 0 0 0 0 0
0 0 0 1 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 1 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 1
0 0 0 0 1 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
6d0	% element of normalizer
1
6x6	% element of centralizer
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	% element of centralizer
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 1 1 0 
0 0 0 0 0 1 
6x6	% element of centralizer
1 0 0 0 0 0 
0 1 0 0 0 0 
0 0 1 0 0 0 
0 0 0 0 1 0 
0 0 0 1 0 0 
0 0 0 0 0 1 
6x6	% element of centralizer
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 0 1 
0 0 0 0 1 0 
2^5 * 3 = 96 % order of the group
