#g3 f1 z1 c1
  4x  4
  0  1  0  0
 -1  1  0  0
  0  0  1  0
  0  0  0  1

  4x  4
  0  1  0  0
  1  0  0  0
  0  0  1  0
  0  0  0  1

  4x  4
  0  0  1  0
  0  0  0  1
  1  0  0  0
  0  1  0  0

  4x  4
  2 -1  0  0
 -1  2  0  0
  0  0  2 -1
  0  0 -1  2
4d0	% zentr
-1
4d0	% cen
-1
2^5 * 3^2  = 288%order of the group
