#g2 % 
6	% generator
 0 0 0 0 0 1
 0 0 0 0 1 0
 0 0 0 1 0 0
 0 0 1 0 0 0
 0 1 0 0 0 0
 1 0 0 0 0 0
6	% generator
  0  0  0  0  0 -1
 -1  0  0  0  0  0
  0  0  0  0 -1  0
  0  0  0 -1  0  0
  0  0 -1  0  0  0
  0 -1  0  0  0  0
2^5  * 3^2  * 5^1   = 1440 % order of the group
