GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim5 / dir.3;1;1 / ordnung.96 / (1)^5(4)^6 / group.672
561084 views#g3 5 0 1 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 1 5 -1 0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 1 5 1 0 0 0 0 1 -1 1 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 -1 2^5 * 3^1 = 96 % order of the group