/*
www-ATLAS of Group Representations.
2.J2 represented as 14 x 14 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"40000000000000",
"00010000000000",
"00400000000000",
"00000100000000",
"00004000000000",
"00000000100000",
"00342123100000",
"00000040000000",
"00000000001000",
"00000000040000",
"00000000000010",
"00000000000400",
"00000000031122"]);

y:=CambridgeMatrix(1,F,14,[
"34000000000000",
"00100000000000",
"11200000000000",
"00001000000000",
"00000010000000",
"00000001000000",
"00010000000000",
"00000000010000",
"40320033120000",
"00000100000000",
"00000000000100",
"00000000000001",
"03232301010411",
"00000000001000"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is 2.J2 < GL(14,GF(5))";