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.32 / (1)^1(4)^14(8)^2 / group.828
561052 views#g3 5 -1 1 1 0 0 0 0 0 1 0 0 1 1 -1 0 0 1 0 0 0 0 0 0 0 1 5 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 -1 0 0 0 0 0 -1 5 0 -1 0 1 0 0 -1 0 0 0 0 0 1 0 0 1 -1 0 0 0 0 0 0 0 1 2^5 = 32 % order of the group