#g2 f1 z1 c1
  6x  6
  0  0  0  0  0  1
 -1  0  0  0  0  1
  0 -1  0  0  0  1
  0  0 -1  0  0  1
  0  0  0 -1  0  1
  0  0  0  0 -1  1

  6x  6
  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

  6x  6
  6 -1 -1 -1 -1 -1
 -1  6 -1 -1 -1 -1
 -1 -1  6 -1 -1 -1
 -1 -1 -1  6 -1 -1
 -1 -1 -1 -1  6 -1
 -1 -1 -1 -1 -1  6
6d0	%  zentr
-1
6d0	%  cen
-1
2^5 * 3^2 * 5 * 7 = 10080 %order of the group
