#g11 
6	% generator
 0 -1  0 0 0 0
 1  0  0 0 0 0
 0  0  0 1 0 0
 0  0  0 0 1 0
 0  0  0 0 0 1
 0  0 -1 0 0 0
6d0	% generator of normalizer
-1
6x0	% generator of normalizer
 0
 1 0
 0 0 0
 0 0 0 0
 0 0 0 1 0
 0 0 1 0 0 0
6x0	% generator of normalizer
 1
 0 -1
 0  0 0
 0  0 0 0
 0  0 0 1 0
 0  0 1 0 0 0
6	% generator of normalizer
 1 0 0 0 0  0
 0 1 0 0 0  0
 0 0 0 0 0 -1
 0 0 1 0 0  0
 0 0 0 1 0  0
 0 0 0 0 1  0
6x0	% generator of normalizer
 0
 1 0
 0 0 -1
 0 0 -1 -1
 0 0 -1  0 1
 0 0  0  1 1 1
6	% generator of normalizer
 1 0  0  0  0  0
 0 1  0  0  0  0
 0 0 -1 -1 -1  0
 0 0  0  1  1  1
 0 0  1  0 -1 -1
 0 0 -1 -1  0  1
6d0	% generator of normalizer
1
6	% generator of normalizer
 1 0  0 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 -1 0 0 0
6x0	% generator of normalizer
 0
 1 0
 0 0 1
 0 0 1  1
 0 0 1  0 -1
 0 0 0 -1 -1 -1
6	% generator of normalizer
 1 0  0  0  0  0
 0 1  0  0  0  0
 0 0  1  0 -1 -1
 0 0 -1 -1  0  1
 0 0  1  1  1  0
 0 0  0 -1 -1 -1
2^3   = 8 % order of the group
