#g4 f4 n3 c4% not homogenously decomposable bravais-group
4	% generator
 -1 0 0 0
  1 1 0 0
  1 0 1 0
  1 0 0 1
4	% generator
  1  0 0 0
 -1 -1 0 0
  0  0 1 0
  0  0 0 1
4	% generator
  1 0  0 0
  0 1  0 0
 -1 0 -1 0
  0 0  0 1
4	% generator
  1 0 0  0
  0 1 0  0
  0 0 1  0
 -1 0 0 -1
4d1	% invariant form
1 0 0 0 
4x0	% invariant form
 0
 1 2
 0 0 0
 0 0 0 0
4x0	% invariant form
 0
 0 0
 1 0 2
 0 0 0 0
4x0	% invariant form
 0
 0 0
 0 0 0
 1 0 0 2
4	% generator of normalizer
 1  2 0 0
 0 -1 0 0
 0 -1 1 0
 0 -1 0 1
4x0	% generator of normalizer
 1
 0 0
 0 1 0
 0 0 0 1
4x0	% generator of normalizer
 1
 0 1
 0 0 0
 0 0 1 0
4	% generator of centralizer
 -1 0 0 0
  1 1 0 0
  1 0 1 0
  1 0 0 1
4	% generator of centralizer
  1  0 0 0
 -1 -1 0 0
  0  0 1 0
  0  0 0 1
4	% generator of centralizer
  1 0  0 0
  0 1  0 0
 -1 0 -1 0
  0 0  0 1
4	% generator of centralizer
  1 0 0  0
  0 1 0  0
  0 0 1  0
 -1 0 0 -1
2^4   = 16 % order of the group

