/*
www-ATLAS of Group Representations.
G2(5) represented as 14 x 14 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00001000000000",
"00000100000000",
"00100000000000",
"00010000000000",
"00000000100000",
"00000000010000",
"00000010000000",
"00000001000000",
"00000000000001",
"22212122222402",
"33434332324044",
"00000000001000"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"00010000000000",
"43220000000000",
"42140000000000",
"00000010000000",
"00000001000000",
"10224040000000",
"00000000001000",
"00000000000100",
"00000000000010",
"00000100000000",
"31300344112004",
"01140000040040",
"14201213404110"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is G2(5) < GL(14,GF(5))";