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.32 / (4)^16 / group.161
561083 views#g4 4 -1 0 0 0 -1 0 0 -1 -1 1 1 1 1 -1 0 0 4 -1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 4 1 0 0 0 0 0 1 0 0 1 0 0 0 -1 -1 -1 4 0 0 1 1 0 -1 0 0 0 0 1 0 1 0 -1 0 2^5 = 32 % order of the group