GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g2 f3 n1 c3% almost decomposable bravais-group 6 % generator 0 0 0 0 0 1 0 0 0 0 -1 1 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 6 % generator 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 6x0 % invariant form 2 -1 2 0 0 2 0 0 -1 2 0 0 0 0 2 0 0 0 0 -1 2 6x0 % invariant form 0 0 0 1 0 0 -1 1 0 0 0 1 1 0 0 -1 0 -1 1 0 0 6x0 % invariant form 0 0 0 0 1 0 -1 0 0 0 1 0 0 1 0 -1 1 -1 0 0 0 6 /1 % generator of normalizer 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 6d0 % generator of centralizer -1 6 % generator of centralizer 0 0 1 0 0 -1 0 0 0 1 1 -1 1 0 0 0 1 0 0 1 0 0 0 1 -1 1 1 0 0 0 -1 0 0 1 0 0 6 % generator of centralizer 0 0 0 1 -1 0 0 0 -1 1 0 -1 1 -1 0 0 0 1 1 0 0 0 -1 1 -1 0 1 -1 0 0 0 -1 1 0 0 0 2^2 * 3^2 = 36 % order of the group