/*
www-ATLAS of Group Representations.
L3(4) represented as 20 x 20 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000010000000000000",
"00000001000000000000",
"00001000000000000000",
"00000100000000000000",
"00000000000100000000",
"00000000000001000000",
"00000000000000010000",
"00000000100000000000",
"00000000000000000100",
"00000000010000000000",
"14000000100400100000",
"00000000001000000000",
"41141040000000001000",
"00000000000010000000",
"00000000000000000010",
"41140000000000000001"]);

y:=CambridgeMatrix(1,F,20,[
"14000000000000000000",
"00100000000000000000",
"00001000000000000000",
"00000100000000000000",
"04404000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000001000",
"00400001000001000000",
"00010000000000000000",
"00400000004100000000",
"00010000000040010000",
"00010410000000000000",
"00000000000000000010",
"00000000000000000001",
"00000001000000000000",
"00404000000000000100"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L3(4) < GL(20,GF(5))";