/*
www-ATLAS of Group Representations.
G2(3) represented as 14 x 14 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00010000000000",
"00100000000000",
"00000100000000",
"00001000000000",
"00000001000000",
"00000010000000",
"00000000010000",
"00000000100000",
"00000000000100",
"00000000001000",
"11111100111110",
"11001100111101"]);

y:=CambridgeMatrix(1,F,14,[
"10000000000000",
"00100000000000",
"11100000000000",
"00001000000000",
"10011000000000",
"00000010000000",
"00000110000000",
"00000000100000",
"00000001100000",
"00000000001000",
"00000000000010",
"00000000000001",
"00000000010000",
"10000000000101"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is G2(3) < GL(14,GF(2))";