/*
www-ATLAS of Group Representations.
S6(2) represented as 48 x 48 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000001000000000000000000000000000000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000010",
"000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000000000000000001",
"000000000000000000001000000000000000000000000000",
"111110001011001100111111000011100000001111000001",
"110001001111011010110100011000100010000010100000",
"000000000000000000000010000000000000000000000000",
"110100101100000100111000111100111001101101011110",
"000000000000000000000001000000000000000000000000",
"011111000100000000011001110111000110001000011110",
"011011110111110110110101001111001110000110111110",
"000000000000000000000000010000000000000000000000",
"111110011010101100011100001000110101011110100110",
"000000000000000000000000001000000000000000000000",
"001111010110000100111111000010110001011110110101",
"110100110010010111101101101101011101000001001100",
"000000000000000000000000000010000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000010000000000000000"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"011111001000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000001000",
"000111010010000000000010000010000000100000000000",
"010010101100111100000100100010110100111010010110",
"001101111101000010011010011111101110111011111100",
"110011000110011100100010000100000011001111001010",
"100111001000010110000101010100111101001000100111",
"011011010111011010011111110111000001111100100010",
"001100110110010100011001001001100111101001010001",
"100010000110011001011001111100111101001000010111",
"100111001000010001000010000010000000000000000000",
"101101100100011110110001001010010011110001101010",
"010110000010000110111011010010110000110001100100",
"000010011010101010100110010010011000100110101101",
"011001110110011110110000000011010010111110100110",
"110000000111011000101101111100011110011001011000",
"000101111101101101110001000101010000011001000011",
"000000000100101010100001001111010011110111001010",
"011100011100100010011001101111100000001001101011",
"110000100101101001101010101101000010111010111001",
"110111101000000000101110111000000100000011111111",
"110100100101110101101110110100010111110101101011"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is S6(2) < GL(48,GF(2))";