/*
www-ATLAS of Group Representations.
M12 represented as 11 x 11 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,11,[
"01000000000",
"10000000000",
"00010000000",
"00100000000",
"00000100000",
"00001000000",
"00000010000",
"00000000100",
"00000001000",
"00000000010",
"00000000001"]);

y:=CambridgeMatrix(1,F,11,[
"01000000000",
"00100000000",
"10000000000",
"00001000000",
"00000010000",
"00000001000",
"00010000000",
"00000000010",
"00000000001",
"00000100000",
"44444444444"]);

G<x,y>:=MatrixGroup<11,F|x,y>;
print "Group G is M12 < GL(11,GF(5))";