/*
www-ATLAS of Group Representations.
M24 represented as 44 x 44 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,44,[
"01000000000000000000000000000000000000000000",
"10000000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000100000000000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000000010000000000000000000000000000000",
"00000000000000000000001000000000000000000000",
"00000000000000000000000100000000000000000000",
"00000000000000000000000001000000000000000000",
"00000000000000010000000000000000000000000000",
"00000000000000000000000000001000000000000000",
"00000000000000000100000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000000000000000000000000000100000000000",
"00000000000000000001000000000000000000000000",
"00000000000000000000000000000000001000000000",
"00000000000000000000000000000000000100000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000000000000000000000100000",
"11111100001111101011010101001010000000000000",
"00111111111011001101011011101001101000000000",
"00000000000000000000000010000000000000000000",
"00000000000000000000000000000000000000000010",
"00000000000000000000000000100000000000000000",
"00000000000000000000000000010000000000000000",
"00111010101001001110100001000000000101110010",
"11001111010001010001101110100101010100111001",
"00000000000000000000000000000100000000000000",
"11111001111010000000100010110001000110111001",
"11000111010011010011000111000001001010100001",
"00111001011001011001001100100000011111110100",
"00000000000000000000000000000000010000000000",
"11001100101010001000011111001101001101111010"]);

y:=CambridgeMatrix(1,F,44,[
"00100000000000000000000000000000000000000000",
"01100000000000000000000000000000000000000000",
"10100000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000010000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00000000000000010000000000000000000000000000",
"00000000000000000100000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000000000000001000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000000000000000010000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000000000000000000000010000000000000000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000000000010000000000000000",
"00000000000000000000000000000100000000000000",
"00000000000000000000000000000010000000000000",
"00000000000000000000000000000001000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000000000000000000000010000000000",
"00000000000000100000000000000000000000000000",
"00000000000000000000000000000000000010000000",
"00000000000000000000000000000000000001000000",
"00000000000000001000000000000000000000000000",
"00000000000000000000000000000000000000010000",
"00000000000000000000000000000000000000001000",
"00000000000000000000000000000000000000000100",
"11111010100100010000101001010010010010010000",
"10100011111011110111000010011100000010111100",
"00000000000000000000000000000000000000000001",
"00000000000000000000100000000000000000000000",
"11101010100010101001010010001101011011100100",
"10100001001110100110001001110111000111101010",
"00000000000000000000001000000000000000000000",
"00000000000000000000000100000000000000000000",
"11100000110110100101000000011000001101101010",
"00001000000001101101011101000110111101110011",
"10010110001011000100110011110110000111110101"]);

G<x,y>:=MatrixGroup<44,F|x,y>;
print "Group G is M24 < GL(44,GF(2))";