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)^3(5)^6 / group.1004
561087 views#g3 5 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 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 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