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.6 / (2)^2(6)^2(18)^1 / min.404
561085 views#g1 6 0 1 0 0 0 0 -1 -1 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 2^1 * 3^1 = 6 % order of the group