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.4-1;1 / ordnung.144 / (1)^9(6)^8 / group.782
561080 views#g3 5 0 1 0 0 0 0 1 1 -1 0 0 0 0 1 0 -1 1 1 0 0 0 0 0 0 1 5 0 -1 0 1 0 -1 0 0 1 0 0 -1 0 0 0 0 -1 -1 1 0 0 0 0 0 1 5 0 -1 0 1 0 0 -1 -1 1 0 0 0 0 1 0 -1 0 0 1 0 0 0 0 0 -1 2^4 * 3^2 = 144 % order of the group