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.144 / (1)^4(3)^4(9)^1 / group.529
561053 views#g4 5 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 5 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 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 5 0 -1 0 0 0 1 -1 0 0 0 0 0 1 1 0 0 0 0 -1 0 0 0 0 0 1 2^4 * 3^2 = 144 % order of the group