GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g3 f2 z2 n1 c2 % almost decomposable bravais-group 6 % generator 1 1 0 0 0 0 0 -1 0 0 0 0 0 1 -1 -1 0 0 0 -2 0 1 0 0 0 1 0 -1 -1 0 0 1 0 -1 0 -1 6 % generator 1 1 0 0 0 0 -1 0 1 0 0 0 2 0 -1 0 0 0 -2 0 1 1 1 1 1 0 -1 -1 -1 0 1 0 0 0 -1 0 6 % generator -1 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 0 0 0 0 0 0 -1 6 % invariant form 2 1 0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 1 2 1 1 0 0 0 1 2 0 0 0 0 1 0 2 6 % invariant form 2 3 0 -2 0 0 3 2 1 -2 -2 -2 0 1 2 -1 0 -4 -2 -2 -1 -2 1 -3 0 -2 0 1 2 0 0 -2 -4 -3 0 -2 6d0 % zentr -1 6 % zentr 0 -1 0 0 -1 0 0 1 0 1 2 0 -1 -1 0 -1 -2 1 2 1 0 2 2 0 -1 0 0 -1 -1 0 -1 0 1 0 -1 1 6 % additional normalizer 0 0 0 -1 -1 -1 0 0 0 1 2 0 0 0 -1 -2 -2 0 0 1 2 2 2 0 0 -1 -1 -1 -1 0 1 0 -1 -1 -1 0 6d0 % cen -1 6 % cen 0 -1 0 0 -1 0 0 1 0 1 2 0 -1 -1 0 -1 -2 1 2 1 0 2 2 0 -1 0 0 -1 -1 0 -1 0 1 0 -1 1 2^3 * 3^1 * 5^1 = 120 % order of the group