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.384 / (1)^5(2)^10(4)^2 / group.834
561070 views#g2 5 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 -1 5 -1 1 1 0 0 0 1 1 -1 0 -1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 2^7 * 3^1 = 384 % order of the group