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.4-1;1 / ordnung.1152 / (1)^9(2)^8 / group.768
561076 views#g3 5 1 0 0 0 0 0 1 0 0 0 1 -1 -1 1 0 1 0 -1 0 0 0 0 0 0 1 5 1 0 0 0 0 1 0 -1 0 0 1 -1 0 0 0 1 0 0 -1 0 0 0 0 0 1 5 -1 1 0 0 0 -1 0 0 0 0 -1 1 1 0 0 -1 0 0 1 0 0 0 0 0 -1 2^7 * 3^2 = 1152 % order of the group