G:=Group(
(2,3)(5,7)(6,8)(9,13)(10,14)(11,17)(16,21)(18,24)(19,23)(20,26)(22,25)(27,29),
(1,2)(4,5)(6,9)(8,11)(10,15)(12,18)(13,17)(16,22)(19,21)(23,25)(26,28)(29,30),
(2,4,6,8,12)(7,10,16,22,15)(13,19,25,26,30)(14,20,27,31,24)(17,23,29,21,28)
); 
m5 := [
[[0,1,0],
[1,0,0],
[0,0,4]],

[[4,0,0],
[0,0,1],
[0,1,0]],

[[1,0,0],
[1,1,0],
[0,0,1]]
]*Z(5)^0;
