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.9 / (3)^4(18)^1 / min.405
561083 views#g2 6 1 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 -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 0 1 0 0 0 0 -1 -1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3^2 = 9 % order of the group