GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim6 / dir.2-1,2-1;1,1 / ordnung.16 / (2)^1(4)^2(8)^2 / group.1089
561053 views#g3 6 0 -1 0 0 0 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 -1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 6 -1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 6 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 2^4 = 16 % order of the group