/*
www-ATLAS of Group Representations.
M12:2 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",
"00000000000000000000000000000000000000010000",
"11110001010100100110011100011111000100110000",
"00000000000000000000000010000000000000000000",
"00110010101011011110111100011000010100000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000000000010000000000000000",
"10101100000000100101111100100111101011010011",
"11001011111101100101110000001100001101101001",
"00000000000000000000000000000100000000000000",
"00000000000000000000000000000010000000000000",
"11110101011101100110100111000100101100100001",
"01011010100010101010011000100001100101101110",
"00110011110000000011010101101010001000010010",
"11111001011101110011001110110100100000101000"]);

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",
"00000000000000000000000000000000000000001000",
"11100000010011101111111110110111000010001000",
"00000000000000000000000000000000000000000100",
"01111001011100010010011010010011011000101100",
"00000000000000000000000000000000000000000010",
"00000000000000000000000000000000000000000001",
"00000000000000000000100000000000000000000000",
"00111000110010010011111011110001010110111011",
"11100001100000010111010011110001011100001000",
"01001111010011100111100010111010001100100001",
"00000000000000000000001000000000000000000000",
"10110110000100111010111100010011000100100110",
"00101110010111010011000011000010111000101111",
"10110011001100111010111100010011100000100011"]);

G<x,y>:=MatrixGroup<44,F|x,y>;
print "Group G is M12:2 < GL(44,GF(2))";