/*
www-ATLAS of Group Representations.
L2(23) represented as 22 x 22 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000010000000000000000",
"0000100000000000000000",
"0000000010000000000000",
"0000000001000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0000000000000100000000",
"0000000000000010000000",
"1100000101101100000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000000000000100",
"0000110000110110100000",
"0000000000000000000010",
"0000000000000000000001",
"0000000000000001000000",
"0000000000000000010000",
"0000000000000000001000"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0110000000000000000000",
"1010000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0001000000000000000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000001000000000",
"0000010000000000000000",
"0000000000000001000000",
"0000000000000000100000",
"0000000000000000010000",
"0000000000000000001000",
"0000000010000000000000",
"0000000001000000000000",
"1101100010100100011100",
"0000011001011011101101",
"1001000011101011100001",
"1101010010111111001011",
"1000011101111011100100"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is L2(23) < GL(22,GF(2))";