/*
www-ATLAS of Group Representations.
5^3.L3(5) represented as 16 x 16 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,16,[
"1000000000000000",
"0010000000000000",
"0100000000000000",
"0001000000000000",
"0230100000000000",
"1302440000000000",
"0000004000000000",
"0000000010000000",
"0000000100000000",
"0000000004000000",
"0000000000010000",
"0000000000100000",
"0000000000000010",
"0000000000000001",
"0000000000001000",
"0000000000000100"]);

y:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"0001000000000000",
"0000100000000000",
"1000000000000000",
"0000010000000000",
"0010000000000000",
"0000000100000000",
"0000140001000000",
"0000000000100000",
"0010041000000000",
"0000000000001000",
"0000000000000100",
"0000000010000000",
"4243010004040032",
"1423123342120424",
"2222441342100224"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 5^3.L3(5) < GL(16,GF(5))";