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.4-1 / ordnung.72 / (1)^4(6)^4 / group.175
561052 views#g2 4 0 0 1 0 0 1 1 1 0 0 0 -1 -1 0 0 0 4 0 0 1 1 1 0 0 1 0 0 1 0 -1 1 0 0 2^3 * 3^2 = 72 % order of the group