
#g3 f2 n1 c2 
6	% generator
 0 1  0  0  0  1
 1 0  0  0  0  1
 0 0  0 -1  0  0
 0 0 -1  0  0  0
 0 0  0  0 -1  0
 0 0  0  0  0 -1
6	% generator
 0 1 0  1 0  1
 0 0 1  1 0  1
 1 0 0  1 0  1
 0 0 0  1 1  1
 0 0 0  1 0  0
 0 0 0 -2 0 -1
6	% generator
 -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
6x0	% invariant form
  2
  0  2
  0  0  2
  0  0  0 2
  0  0  0 0 2
  1  1  1 1 1 3
6x0	% invariant form
  0
  2  0
  2  2  0
 -2 -2  2  0
  2 -2 -2 -2 0
  3 -1  3 -1 -1 3

6	% generator of normalizer
 0 0 0 -1 0 -1
 0 0 1 -1 0  0
 0 0 0 -1 1  0
 0 1 0 -1 0  0
 1 0 0 -1 0  0
 0 0 0  2 0  1
6	% generator 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
6	% generator of centralizer
  0 -1  0  1  0  0
  0 -1  0  1  1  1
  0 -1  0  0  1  0
  1  0  0  0  1  1
  0  0  1  1  0  1
 -1  1 -1 -1 -1 -2
2^3  * 3^1  * 5^1   = 120 % order of the group
dim6/6-4'b
