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.64 / (1)^1(4)^14(8)^2 / group.878
561077 views#g3 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 5 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 1 0 1 -1 -1 1 0 0 0 0 0 1 5 -1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 2^6 = 64 % order of the group