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.240 / (1)^10(5)^6(25)^1 / group.1012
561053 views#g2 5 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 -1 1 1 -1 0 0 0 0 0 1 5 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 -1 2^4 * 3^1 * 5^1 = 240 % order of the group