GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g2 f1 n1 c1% homogeneously decomposable bravais-group 6 % generator 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 6 % generator -1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 6d0 % invariant form 1 6d0 % generator of normalizer 1 6d0 % generator of centralizer -1 2^10 * 3^2 * 5^1 = 46080 % order of the group