#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
#g4 f4 n2 c4% not homogenously decomposable bravais-group
4	% generator
  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
4	% generator
 0 1 0 0
 1 0 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
4x0	% invariant form
  0
 -1 0
  0 0 0
  0 0 0 0
4d1	% invariant form
0 0 1 0 
4d1	% invariant form
0 0 0 1 
4d1	% invariant form
1 1 0 0 
4d1	% generator of normalizer
1 -1 1 1 
4x0	% generator of normalizer
 1
 0 1
 0 0 0
 0 0 1 0
4x0	% generator of centralizer
  0
 -1 0
  0 0 1
  0 0 0 1
4x0	% generator of centralizer
 0
 1 0
 0 0 1
 0 0 0 1
4d1	% generator of centralizer
1 1 -1 1 
4d1	% generator of centralizer
1 1 1 -1 
2^4   = 16 % order of the group
#g4 f4 n2 c4% not homogenously decomposable bravais-group
4	% generator
  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
4	% generator
 0 1 -1 0
 1 0  1 0
 0 0  1 0
 0 0  0 1
4	% generator
 1 0  1 0
 0 1 -1 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
0 0 1 0 
4d1	% invariant form
0 0 0 1 
4x0	% invariant form
 1
 1 1
 0 0 0
 0 0 0 0
4x0	% invariant form
  1
 -1  1
  1 -1 0
  0  0 0 0
4	% generator of normalizer
 1  0 0 0
 0 -1 1 0
 0  0 1 0
 0  0 0 1
4	% generator of normalizer
 0  1 0 0
 1  0 0 0
 1 -1 1 0
 0  0 0 1
4x0	% generator of centralizer
  0
 -1 0
  0 0 1
  0 0 0 1
4	% generator of centralizer
 0 1 -1 0
 1 0  1 0
 0 0  1 0
 0 0  0 1
4	% generator of centralizer
 1 0  1 0
 0 1 -1 0
 0 0 -1 0
 0 0  0 1
4d1	% generator of centralizer
1 1 1 -1 
2^4   = 16 % order of the group
#g4 f4 n3 c4% not homogenously decomposable bravais-group
4	% generator
  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
4	% generator
 0 1 -1 0
 1 0  1 0
 0 0  1 0
 0 0  0 1
4	% generator
 1 0  1  1
 0 1 -1 -1
 0 0 -1 -2
 0 0  0  1
4	% generator
 1 0 0 -1
 0 1 0  1
 0 0 1  2
 0 0 0 -1
4d1	% invariant form
0 0 0 1 
4x0	% invariant form
 0
 0 0
 0 0 1
 0 0 1 0
4x0	% invariant form
 1
 1 1
 0 0 0
 0 0 0 0
4x0	% invariant form
  1
 -1  1
  1 -1 1
  0  0 0 0
4	% generator of normalizer
 1  0 0 0
 0 -1 1 0
 0  0 1 0
 0  0 0 1
4	% generator of normalizer
 0  1 0  1
 1  0 0 -1
 1 -1 1 -1
 0  0 0  1
4	% generator of normalizer
 1 0  1 0
 0 1 -1 0
 0 0 -1 0
 0 0  1 1
4x0	% generator of centralizer
  0
 -1 0
  0 0 1
  0 0 0 1
4	% generator of centralizer
 0 1 -1 0
 1 0  1 0
 0 0  1 0
 0 0  0 1
4	% generator of centralizer
 1 0  1  1
 0 1 -1 -1
 0 0 -1 -2
 0 0  0  1
4	% generator of centralizer
 1 0 0 -1
 0 1 0  1
 0 0 1  2
 0 0 0 -1
2^4   = 16 % order of the group
#g4 f4 n3 c4% not homogenously decomposable bravais-group
4	% generator
  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
4	% generator
 0 1 0 0
 1 0 0 0
 0 0 1 0
 0 0 0 1
4	% generator
 1 0  0  0
 0 1  0  0
 0 0  0 -1
 0 0 -1  0
4	% generator
 1 0 0 0
 0 1 0 0
 0 0 0 1
 0 0 1 0
4x0	% invariant form
  0
 -1 0
  0 0 0
  0 0 0 0
4x0	% invariant form
 0
 0 0
 0 0  0
 0 0 -1 0
4d1	% invariant form
0 0 1 1 
4d1	% invariant form
1 1 0 0 
4x0	% generator of normalizer
 0
 0 0
 1 0 0
 0 1 0 0
4d1	% generator of normalizer
1 -1 1 1 
4d1	% generator of normalizer
1 1 1 -1 
4x0	% generator of centralizer
  0
 -1 0
  0 0 1
  0 0 0 1
4x0	% generator of centralizer
 0
 1 0
 0 0 1
 0 0 0 1
4x0	% generator of centralizer
 1
 0 1
 0 0  0
 0 0 -1 0
4x0	% generator of centralizer
 1
 0 1
 0 0 0
 0 0 1 0
2^4   = 16 % order of the group
#g4 f4 n2 c4% not homogenously decomposable bravais-group
4	% generator
  0 -1 -1 0
  0  1  0 0
 -1 -1  0 0
  0  0  0 1
4	% generator
  1 0 0 0
 -1 0 1 0
  1 1 0 0
  0 0 0 1
4	% generator
 0 1  1 0
 1 0 -1 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
0 0 0 1 
4x0	% invariant form
  0
  0  0
 -1 -1 0
  0  0 0 0
4x0	% invariant form
  0
 -1 0
 -1 0 0
  0 0 0 0
4x0	% invariant form
 1
 1 1
 0 0 1
 0 0 0 0
4	% generator of normalizer
 1 0 -1 0
 0 1  1 0
 0 0 -1 0
 0 0  0 1
4	% generator of normalizer
 1  1 0 0
 0 -1 0 0
 0  1 1 0
 0  0 0 1
4	% generator of centralizer
  0 -1 -1 0
  0  1  0 0
 -1 -1  0 0
  0  0  0 1
4	% generator of centralizer
  1 0 0 0
 -1 0 1 0
  1 1 0 0
  0 0 0 1
4	% generator of centralizer
 0 1  1 0
 1 0 -1 0
 0 0  1 0
 0 0  0 1
4d1	% generator of centralizer
1 1 1 -1 
2^4   = 16 % order of the group
#g4 f4 n2 c4% not homogenously decomposable bravais-group
4	% generator
  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
4	% generator
 0  1 0 0
 1  0 0 0
 1 -1 1 0
 1 -1 0 1
4	% generator
  1 0  0  0
  0 1  0  0
 -1 1  0 -1
 -1 1 -1  0
4	% generator
 1 0 0 0
 0 1 0 0
 0 0 0 1
 0 0 1 0
4x0	% invariant form
  0
 -1 0
  0 0 0
  0 0 0 0
4d1	% invariant form
1 1 0 0 
4x0	% invariant form
 0
 0 0
 0 0  1
 0 0 -1 1
4x0	% invariant form
 0
 0  0
 1 -1 1
 1 -1 1 1
4	% generator of normalizer
 1  0 0 0
 0 -1 0 0
 0 -1 1 0
 0 -1 0 1
4	% generator of normalizer
  1 0 0  0
  0 1 0  0
  0 0 1  0
 -1 1 0 -1
4x0	% generator of centralizer
  0
 -1 0
  0 0 1
  0 0 0 1
4	% generator of centralizer
 0  1 0 0
 1  0 0 0
 1 -1 1 0
 1 -1 0 1
4	% generator of centralizer
  1 0  0  0
  0 1  0  0
 -1 1  0 -1
 -1 1 -1  0
4x0	% generator of centralizer
 1
 0 1
 0 0 0
 0 0 1 0
2^4   = 16 % order of the group
#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
#g3 f4 n3 c3% not homogenously decomposable bravais-group
4	% generator
  0  0  0 -1
  0  0 -1  0
  0 -1  0  0
 -1  0  0  0
4	% generator
  0  0 -1  0
  0  0  0 -1
 -1  0  0  0
  0 -1  0  0
4	% generator
  0 -1  0  0
 -1  0  0  0
  0  0  0 -1
  0  0 -1  0
4x0	% invariant form
 0
 1 0
 0 0 0
 0 0 1 0
4x0	% invariant form
  0
  0  0
 -1  0 0
  0 -1 0 0
4x0	% invariant form
  0
  0  0
  0 -1 0
 -1  0 0 0
4d0	% invariant form
1
4x0	% generator of normalizer
  0
  0 1
  0 0 1
 -1 0 0 0
4x0	% generator of normalizer
 1
 0 1
 0 0 0
 0 0 1 0
4x0	% generator of normalizer
 1
 0 0
 0 1 0
 0 0 0 1
4x0	% generator of centralizer
  0
  0  0
  0 -1 0
 -1  0 0 0
4x0	% generator of centralizer
  0
  0  0
 -1  0 0
  0 -1 0 0
4x0	% generator of centralizer
  0
 -1 0
  0 0  0
  0 0 -1 0
2^3   = 8 % order of the group
