GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim5 / dir.2-2;1;1;1 / ordnung.12 / (1)^4(3)^1(12)^1(36)^1 / min.120
561053 views#g2 5 1 1 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 5 1 0 0 0 0 -1 -1 0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 1 2^2 * 3^1 = 12 % order of the group