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.24 / (1)^5(4)^4(32)^1 / group.637
561080 views#g2 5 -1 1 -1 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 5 0 0 1 0 0 1 -1 1 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 2^3 * 3^1 = 24 % order of the group