/*
www-ATLAS of Group Representations.
M11 represented as 24 x 24 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,24,[
"200000000000000000000000",
"001000000000000000000000",
"010000000000000000000000",
"000001000000000000000000",
"000000100000000000000000",
"000100000000000000000000",
"000010000000000000000000",
"000000000100000000000000",
"000000000001000000000000",
"000000010000000000000000",
"000000000000001000000000",
"000000001000000000000000",
"000102000010102000000000",
"000000000000000000100000",
"000000000010000000000000",
"000000000000000000000100",
"000221100000020010100000",
"000000000000000000000001",
"000000000000010000000000",
"021212010222210200112110",
"001022110011021210010020",
"000000000000000100000000",
"001010011002201210111010",
"000000000000000001000000"]);

y:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"000100000000000000000000",
"000010000000000000000000",
"111220000000000000000000",
"102220000000000000000000",
"000000010000000000000000",
"000000001000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000010000000000",
"000000000000000100000000",
"000000000000000010000000",
"000000000000000001000000",
"000000000000000000010000",
"000000000000000000001000",
"000001000000000000000000",
"000000000000000000000010",
"000000100000000000000000",
"020021000112122021101012",
"022012120000111222002122",
"200201000010002000000000",
"001101020212200022010101",
"210211120111102022212012",
"020101121011102001112112"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is M11 < GL(24,GF(3))";