#g3 % 
12	% generator
 -1  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 -1  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 -1  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 -1  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 -1  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 -1  0
  0  0  0  0  0  0  0  0  0  0  0 -1
12	% generator
 0 1 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 1 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 1 0 0 0 0 0 0
 1 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 1 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 1 0
 0 0 0 0 0 0 0 0 0 0 0 1
 0 0 0 0 0 0 1 0 0 0 0 0
12	% generator
 1 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 1 0 0 0 0 0 0 0
 0 0 0 1 0 0 0 0 0 0 0 0
 0 0 1 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 0 0 0 0 0 0 1 0
 0 0 0 0 0 0 0 0 0 1 0 0
 0 0 0 0 0 0 0 0 1 0 0 0
 0 0 0 0 0 0 0 1 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 0 0 1
2^3  * 3^1   = 24 % order of the group
