GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
G:=Group( (1,2,4,6,8)(3,5,7,9,10)(11,12,13,15,17)(14,16,18,20,22)(19,21,24,27,29)(23,26, 28,30,25), (1,3)(10,11)(12,14)(17,19)(20,23)(21,25)(24,28)(29,31)); m2 := [ [[0,1,0,0,0], [0,0,1,0,0], [0,0,0,1,0], [0,0,0,0,1], [1,0,0,0,0]], [[1,1,0,0,0], [0,1,0,0,0], [0,0,1,0,0], [0,0,0,1,0], [0,0,0,0,1]]]*Z(2);