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.1;1;1;1 / ordnung.8 / (2)^2(4)^2 / group.32
561084 views#g3 4 1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1 4 -1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1 4 1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1 2^3 = 8 % order of the group