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.36 / (1)^3(3)^4(9)^1(18)^2 / group.2986
561053 views#g3 6 1 0 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 -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 6 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2^2 * 3^2 = 36 % order of the group