#g4 f1 z1 c1
6d0
-1

  6x  6
  0  1  0  0  0  0
 -1  1  0  0  0  0
  0  0  0  0  1  0
  0  0  0  0  0  1
  0  0  1  0  0  0
  0  0  0  1  0  0

  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
  0  0  1  0  0  0
  0  0  0  1  0  0
  0  0  0  0  1  0
  0  0  0  0  0  1
  1  0  0  0  0  0
  0  1  0  0  0  0

  6x  6
  2 -1  0  0  0  0
 -1  2  0  0  0  0
  0  0  2 -1  0  0
  0  0 -1  2  0  0
  0  0  0  0  2 -1
  0  0  0  0 -1  2
6d0	%  zentr
-1
6d0	%  cen
-1
2^7 * 3^4 = 10368 %order of the group
