/*
www-ATLAS of Group Representations.
2.J2 represented as 14 x 14 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"20000000000000",
"00010000000000",
"00200000000000",
"00000100000000",
"00002000000000",
"00000000100000",
"00000000010000",
"00000020000000",
"00000002000000",
"00000000000010",
"00000000000001",
"00000000002000",
"00000000000200"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"02200000000000",
"12100000000000",
"00001000000000",
"00000010000000",
"00000001000000",
"00010000000000",
"00000000001000",
"00000000000100",
"21000000100000",
"00000100000000",
"20100000010000",
"00001021022110",
"22201222202101"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is 2.J2 < GL(14,GF(3))";