#g2 f1 n1 c1% homogenously decomposable bravais-group
5	% generator
 0 1 0 0 0
 1 0 0 0 0
 0 0 1 0 0
 0 0 0 1 0
 0 0 0 0 1
5	% generator
 -1  0  0  0 1
  0  0  0  0 1
  0 -1  0  0 1
  0  0 -1  0 1
  0  0  0 -1 1
5x0	% invariant form
  5
 -1  5
 -1 -1  5
 -1 -1 -1  5
 -1 -1 -1 -1 5
5d0	% generator of normalizer
1
5d0	% generator of centralizer
-1
2^5  * 3^2  * 5^1   = 1440 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 0 1 0 0 0
 1 0 0 0 0
 0 0 1 0 0
 0 0 0 1 0
 0 0 0 0 1
5	% generator
 -1  0  0  0 0
  1  1  1  1 1
  0 -1  0  0 0
  0  0 -1  0 0
  0  0  0 -1 0
5x0	% invariant form
 2
 1 2
 1 1 2
 1 1 1 2
 1 1 1 1 2
2^5  * 3^2  * 5^1   = 1440 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 1  1 0 0 0
 0 -1 0 0 0
 0  1 1 0 0
 0 -1 0 1 0
 0  1 0 0 1
5	% generator
 -1  0  0 1 1
  1  0  0 0 0
 -1 -1  0 1 0
  1  0 -1 0 0
 -1  0  0 0 1
5x0	% invariant form
  4
  1  4
 -2  1 4
 -2 -2 1 4
 -2  1 1 1 4
2^5  * 3^2  * 5^1   = 1440 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 1  0 0 0 0
 0  1 0 0 0
 0  0 1 0 0
 0  1 0 0 1
 0 -1 0 1 0
5	% generator
  0  0 1 0  0
 -1  0 0 1  1
  0 -1 0 0 -1
 -1  0 0 0  1
  1  0 0 0  0
5x0	% invariant form
  3
  1  3
 -1  1 3
 -1 -1 1 3
 -1  1 1 1 3
2^5  * 3^2  * 5^1   = 1440 % order of the group
