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.4-3;1 / ordnung.40 / (1)^5(5)^12 / group.1022
561085 views#g2 5 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 5 -1 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1 -1 -1 1 0 0 0 0 0 1 2^3 * 5^1 = 40 % order of the group