GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim6 / dir.2-2;2-2;1,1 / ordnung.72 / (1)^3(3)^5(6)^1 / group.2784
561085 views#g3 6 1 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 6 0 -1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 6 -1 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2^3 * 3^2 = 72 % order of the group