/*
www-ATLAS of Group Representations.
L2(23) represented as 11 x 11 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,11,[
"01000000000",
"10000000000",
"00010000000",
"00100000000",
"00000100000",
"00001000000",
"00000000100",
"11001101000",
"00000010000",
"00000000001",
"00000000010"]);

y:=CambridgeMatrix(1,F,11,[
"11000000000",
"00100000000",
"01100000000",
"00001000000",
"00000010000",
"00000001000",
"00010000000",
"10100101000",
"00000000010",
"00010110111",
"00001111001"]);

G<x,y>:=MatrixGroup<11,F|x,y>;
print "Group G is L2(23) < GL(11,GF(2))";