#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
