/*
www-ATLAS of Group Representations.
M24 represented as 22 x 22 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000010000000000000000",
"0000100000000000000000",
"0000000010000000000000",
"0000000001000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0000000000000100000000",
"0000000000000010000000",
"0000000000000000100000",
"0000000000100000000000",
"0000000000010000000000",
"2222000202000002000000",
"0000000000001000000000",
"0000000000000000000100",
"2200220000000000002000",
"0000000000000000010000",
"0000000000000000000001",
"0000000000000000000010"]);

y:=CambridgeMatrix(1,F,22,[
"1200000000000000000000",
"0010000000000000000000",
"0220000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0001000000000000000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000001000000000",
"0000010000000000000000",
"0000000000000001000000",
"0000000000000000010000",
"0000000000000000001000",
"0001002000000010000000",
"0000000010000000000000",
"0200000200101100122000",
"0000000001000000000000",
"0000000000000000000010",
"0122100010020200000110",
"0000000000000100000000",
"0221210200000100000021"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is M24 < GL(22,GF(3))";