/*
www-ATLAS of Group Representations.
M12:2 represented as 32 x 32 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00010000000000000000000000000000",
"00100000000000000000000000000000",
"00000100000000000000000000000000",
"00001000000000000000000000000000",
"00000000100000000000000000000000",
"00000000010000000000000000000000",
"00000010000000000000000000000000",
"00000001000000000000000000000000",
"00000000000001000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000000001000000000000000000000",
"00000000000100000000000000000000",
"00000000000000000000100000000000",
"00000000000010000000000000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000010000000000000000",
"00000000000000000000000000001000",
"00000000000000000100000000000000",
"00000000000000000010000000000000",
"00000000000000000000000000000001",
"00000000000000000001000000000000",
"13400123324112241412333411040011",
"21001443132243404133234140400302",
"00000000000000000000010000000000",
"02302020332440044004114231004024",
"40010411400034323342330033002301",
"00000000000000000000000010000000"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"34400000000000000000000000000000",
"23100000000000000000000000000000",
"00001000000000000000000000000000",
"00000010000000000000000000000000",
"00000001000000000000000000000000",
"00010000000000000000000000000000",
"00000000001000000000000000000000",
"00000000000100000000000000000000",
"00000000000010000000000000000000",
"00000100000000000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000010000000000000",
"00000000000000000001000000000000",
"00000000100000000000000000000000",
"00000000000000000000010000000000",
"00000000010000000000000000000000",
"00000000000000000000000010000000",
"00000000000000000000000000100000",
"00000000000000000000000000010000",
"22311414214210224102040000200000",
"00000000000000000000000000000100",
"00000000000000000000000000000010",
"00000000000001000000000000000000",
"22441120134114304233221234102433",
"00000000000000100000000000000000",
"33401044442023000142431110214342",
"30313101323330220222212224000040",
"00000202202204120041004040100400",
"33303224023314030321043230112411",
"00221424131004344201201442434402"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is M12:2 < GL(32,GF(5))";