GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g2 f1 z1 c1 6x 6 0 1 0 0 0 0 1 0 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 6x 6 -1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 6x 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 6d0 % zentr -1 6d0 % cen -1 2^10 * 3^2 * 5 = 46080 %order of the group