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;2-2 / ordnung.18 / (3)^4(6)^4 / min.310
561086 views#g3 6 -1 0 0 0 0 0 -1 1 0 0 0 0 1 0 1 0 0 0 -1 1 -1 -1 0 0 0 0 0 0 0 -1 0 0 0 0 -1 0 6 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 1 0 0 0 0 -1 0 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 1 0 0 0 0 -1 0 2^1 * 3^2 = 18 % order of the group