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;2-1 / ordnung.48 / (1)^5(4)^6 / min.139
561052 views#g2 5 1 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 5 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 2^4 * 3^1 = 48 % order of the group