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.384 / (1)^4(2)^12 / group.164
561052 views#g2 4 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 4 0 0 1 1 1 -1 0 0 0 1 1 1 -1 0 0 -1 2^7 * 3^1 = 384 % order of the group