GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim4 / dir.4-2 / ordnung.144 / (1)^8(3)^8 / group.184
561052 views#g3 4 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 4 0 1 0 0 -1 1 0 0 0 0 1 0 0 0 0 1 4 0 0 1 -1 0 0 0 -1 -1 1 0 0 0 1 0 0 2^4 * 3^2 = 144 % order of the group