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.4-1 / ordnung.64 / (2)^8(4)^8 / group.172
561052 views#g3 4 -1 1 1 0 0 1 1 1 0 0 0 -1 0 0 -1 0 4 -1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 4 0 0 1 1 0 -1 0 0 0 0 1 0 1 0 -1 0 2^6 = 64 % order of the group