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.12 / (1)^4(24)^4 / min.307
561054 views#g2 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 0 1 0 0 0 0 1 0 6 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 0 0 0 0 0 1 1 0 0 0 0 -1 0 2^2 * 3^1 = 12 % order of the group