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.2-2;2-2;1 / ordnung.36 / (1)^2(3)^5 / group.568
561085 views#g2 5 0 -1 0 0 0 1 -1 0 0 0 0 0 1 1 0 0 0 0 -1 0 0 0 0 0 1 5 1 0 0 0 0 0 1 0 0 0 0 0 -1 -1 0 0 0 1 0 0 0 0 0 0 -1 2^2 * 3^2 = 36 % order of the group