GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g5 f1 % almost decomposable bravais-group 4 % generator 1 0 0 0 0 -1 1 0 0 0 1 0 0 0 0 1 4 % generator 1 0 0 0 0 0 -1 1 -1 0 -1 0 -1 1 -1 0 4 % generator 0 -1 0 0 0 -1 1 0 -1 -1 1 0 0 0 0 1 4 % generator 0 -1 0 0 -1 0 0 0 -1 -1 1 0 0 0 0 1 4 % generator 1 -1 0 1 0 1 -1 1 0 2 -2 1 0 2 -1 0 4 % invariant form 4 0 -1 3 0 6 -3 0 -1 -3 4 -3 3 0 -3 6 2^4 * 3^2 = 144 % order of the group