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.3;2-2 / ordnung.576 / (1)^9(4)^2(12)^2 / max.10
561070 views#g4 5 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 5 1 0 0 0 0 0 1 0 0 0 -1 1 -1 0 0 0 0 0 1 0 0 0 0 0 1 5 -1 1 -1 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 -1 5 -1 0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 1 2^6 * 3^2 = 576 % order of the group