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

F:=GF(2);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00001000000000",
"00000010000000",
"00100000000000",
"00000000010000",
"00010000000000",
"00000000000010",
"11001111000101",
"00000100000000",
"00001111101101",
"00011100100011",
"00000001000000",
"11101100010001"]);

y:=CambridgeMatrix(1,F,14,[
"10101100010111",
"10010110000101",
"01111110001011",
"01100101111011",
"00110111010001",
"00011111011101",
"01000111101100",
"00001000101101",
"11011101111100",
"00011111100100",
"00111110010101",
"11000101001011",
"10101010011101",
"00000011001111"]);

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