/*
www-ATLAS of Group Representations.
2.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",
"00000000010000000000",
"00000000000000100000",
"00000000100000000000",
"00000000000010000000",
"14411040400101000000",
"00000000001000000000",
"00000000000000000100",
"41004114001000401000",
"00000000000000010000",
"00000000000000000001",
"00000000000000000010"]);

y:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"00100000000000000000",
"00001000000000000000",
"00000100000000000000",
"10000000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000001000000",
"00000000000000010000",
"00000000000000001000",
"00010000000000000000",
"40140400000404004000",
"43400040000101401000",
"00000000000000000010",
"14411040400101000000",
"00000000000000000400",
"00000001000000000000",
"44040440040000000004"]);

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