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.2-2,2-2;1 / ordnung.6 / (1)^1(6)^4 / min.102
561085 views#g2 5 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 5 -1 -1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 -1 -1 0 0 0 0 0 1 2^1 * 3^1 = 6 % order of the group