/*
www-ATLAS of Group Representations.
3.L3(4) represented as 15 x 15 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000100000000000",
"001000000000000",
"000000100000000",
"000000010000000",
"000010000000000",
"000001000000000",
"000000000001000",
"000000000000010",
"000000000000001",
"000000001000000",
"004411115155615",
"000000000100000",
"000000000010000"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"066000000000000",
"000010000000000",
"000001000000000",
"106010000000000",
"000000001000000",
"000000000100000",
"000000000010000",
"000000000000100",
"554064344400040",
"561553431125051",
"214255102601500",
"000100000000000",
"012004543360640",
"152322526264366"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is 3.L3(4) < GL(15,GF(7))";