/*
www-ATLAS of Group Representations.
L3(4):2a 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",
"00000000000000000010",
"00000000010000000000",
"44112020431132411410",
"00000000001000000000",
"10133302112444123340",
"10133302302220122410",
"00000000000010000000",
"11214421402100214111"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"34400000000000000000",
"00001000000000000000",
"00000100000000000000",
"10401000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000001000",
"00000000000000000100",
"00010000000000000000",
"02021322413044440110",
"00000000000000000001",
"30111214100400341404",
"42330441042300144411",
"42013002201440043410",
"01201343402140021424",
"00000010000000000000"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L3(4):2a < GL(20,GF(5))";