/*
www-ATLAS of Group Representations.
2.L3(4) represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0001000000000000000000000000",
"0010000000000000000000000000",
"0000001000000000000000000000",
"0000000100000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"0000000000010000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000010000000000000000000",
"0000000000000000010000000000",
"0000000001000000000000000000",
"0000000000000000000100000000",
"0000000000100000000000000000",
"0000000000000000000010000000",
"0000000000001000000000000000",
"0000000000000000000000010000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000000000000001",
"3300121234231412311130410000",
"0000000000000000001000000000",
"3300202012213212133114034004",
"0022343404104411144114040404",
"0044111123020340200421000041",
"0000000000000000000001000000"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"0440000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"1040100000000000000000000000",
"0000000010000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"1001114014041000000000000000",
"0001000000000000000000000000",
"0000000000000000001000000000",
"1001000100001001000000000000",
"0044041000400000000000000000",
"0000000000000000000001000000",
"0000000000000000000000100000",
"0000000000000000000000001000",
"0000000000000000000000000100",
"0000000000000000000000000010",
"0000000100000000000000000000",
"1003140434244441004302231221",
"0311020114244330121441220102",
"2001220013302012222103414442",
"0000001000010000000400000000",
"1001224420330313012313323113",
"3134414444420000431110023012"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.L3(4) < GL(28,GF(5))";