GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim4 / dir.3;1 / ordnung.96 / (1)^4(2)^2(4)^4 / group.147
561070 views#g3 4 -1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 -1 4 0 -1 -1 0 0 1 0 0 -1 -1 0 0 0 0 0 1 4 1 1 0 0 0 0 1 0 0 -1 -1 0 0 0 0 -1 2^5 * 3^1 = 96 % order of the group