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.2-1;1,1;1 / ordnung.8 / (1)^1(4)^2(8)^1 / group.247
561085 views#g2 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 2^3 = 8 % order of the group