GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim4 / dir.4-3 / ordnung.60 / (1)^10(5)^6 / min.56
561052 views#g2 4 1 1 1 0 0 -1 -1 0 0 1 0 0 0 0 1 1 4 0 0 0 1 0 -1 -1 -1 0 1 0 0 -1 -1 0 0 2^2 * 3^1 * 5^1 = 60 % order of the group