GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g2 f2 n1 c2% almost decomposable bravais-group 4 % generator 0 -1 0 0 0 0 -1 0 0 0 0 -1 1 1 1 1 4 % generator 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 4x0 % invariant form 2 1 2 1 1 2 1 1 1 2 4x0 % invariant form 2 0 0 1 -1 0 2 1 0 2 4 % generator of normalizer 0 0 0 -1 0 -1 0 0 1 1 1 1 0 0 -1 0 4d0 % generator of centralizer -1 4 % generator of centralizer 0 0 1 1 -1 -1 -1 0 0 -1 -1 -1 1 1 0 0 2^2 * 5^1 = 20 % order of the group