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;2-2 / ordnung.72 / (1)^7(4)^3(12)^1 / group.751
561074 views#g2 5 -1 1 -1 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 5 1 -1 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 -1 -1 2^3 * 3^2 = 72 % order of the group