Symbol of the group: 1;1;1;1
Position in the catalog:
1-th homogenously decomposable bravais group, 8-th Z-class
#g4 f4 
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
 0 0
 1 0 2
 0 0 0 0
4x0	% invariant form
 0
 0 0
 0 0 0
 1 0 0 2
4x0	% invariant form
 0
 1 2
 0 0 0
 0 0 0 0
2^4   = 16 % order of the group
