GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g3 f1 4x4 1 0 0 0 -1 -1 -1 -1 1 1 0 1 1 1 1 0 4x4 1 1 1 0 0 -1 -2 0 0 1 1 0 0 1 1 1 4x4 1 1 0 1 0 -1 0 -2 0 1 1 1 0 1 0 1 4x4 %invariant form 2 1 0 0 1 2 1 1 0 1 2 0 0 1 0 2 2^7 * 3^2 = 1152 %order of the group