/*
www-ATLAS of Group Representations.
G2(4) represented as 14 x 14 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00010000000000",
"00100000000000",
"00000010000000",
"00000000100000",
"00001000000000",
"00000000000100",
"00000100000000",
"22331210210000",
"33233012203222",
"00000001000000",
"33102300102032",
"00000202200201"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"01100000000000",
"00001000000000",
"00000100000000",
"00000001000000",
"00000000010000",
"00000000001000",
"10101001000000",
"00000000000010",
"00000000000001",
"31121300212101",
"00122012211123",
"02310021333210",
"21201330130130"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is G2(4) < GL(14,GF(4))";