GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g4 f2 5x5 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 5x5 -1 0 0 0 0 1 1 1 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 5x5 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 1 0 5x5 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 5x5 2 1 1 0 0 1 2 1 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 5x5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2^7 * 3 = 384%order of the group