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;2-1;1;1 / ordnung.24 / (1)^2(2)^4(8)^1(24)^1 / min.372
561052 views#g2 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 0 -1 0 0 0 0 1 -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 2^3 * 3^1 = 24 % order of the group