/*
www-ATLAS of Group Representations.
2.J2.2 represented as 12 x 12 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"600000000000",
"000010000000",
"000000100000",
"006000000000",
"000000000100",
"000600000000",
"000000000001",
"543615266366",
"000006000000",
"513626422210",
"000000060000"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000001000000",
"000000010000",
"000000001000",
"000000000010",
"134534164050",
"106146144535",
"033636204424",
"302332150322",
"006240004222",
"110414210162"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.J2.2 < GL(12,GF(7))";