#g4 f4 z8 n3 c4% homogenously decomposable bravais-group
4	% generator
 -1 0 0 0
  0 1 0 0
  0 0 1 0
  0 0 0 1
4	% generator
 1  0 0 0
 0 -1 0 0
 0  0 1 0
 0  0 0 1
4	% generator
 1 0  0 0
 0 1  0 0
 0 0 -1 0
 0 0  0 1
4	% generator
 1 0 0  0
 0 1 0  0
 0 0 1  0
 0 0 0 -1
4d1	% invariant form
1 0 0 0 
4d1	% invariant form
0 1 0 0 
4d1	% invariant form
0 0 1 0 
4d1	% invariant form
0 0 0 1 
4	% zentr
 1  1 0 0
 1 -1 0 0
 0  0 1 0
 0  0 0 1
4	% zentr
 1  1 0 0
 1 -1 1 0
 0  0 1 0
 0  0 0 1
4	% zentr
 1  1 0 0
 1 -1 1 0
 0  0 1 1
 0  0 0 1
4	% zentr
 1  1 0  0
 1 -1 0  0
 0  0 1  1
 0  0 1 -1
4	% zentr
 1  1  1 0
 1  1 -1 0
 1 -1 -1 0
 0  0  0 1
4	% zentr
 1  1 0  0
 1 -1 0  0
 1 -1 1  1
 0  0 1 -1
4	% zentr
 1 0 0 0
 1 2 0 0
 1 0 2 0
 1 0 0 2
4	% zentr
 1  1  1  1
 1 -1 -1  1
 1 -1  1 -1
 1  1 -1 -1
4x0	% generator of normalizer
 0
 1 0
 0 0 1
 0 0 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
4d1	% generator of centralizer
-1 1 1 1 
4d1	% generator of centralizer
1 -1 1 1 
4d1	% generator of centralizer
1 1 -1 1 
4d1	% generator of centralizer
1 1 1 -1 
2^4   = 16 % order of the group
