/*
www-ATLAS of Group Representations.
G2(5) represented as 7 x 7 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,7,[
"2403302",
"4104401",
"1304232",
"2212123",
"2102103",
"0304411",
"2213122"]);

y:=CambridgeMatrix(1,F,7,[
"4224411",
"0100021",
"4232331",
"2201311",
"0123330",
"0212113",
"2124013"]);

G<x,y>:=MatrixGroup<7,F|x,y>;
print "Group G is G2(5) < GL(7,GF(5))";