/*
www-ATLAS of Group Representations.
S8(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",
"000000000000000001000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000000000000001000",
"010110110110011100010101000100100000111010101000",
"000000000000000000000100000000000000000000000000",
"000000010010110110011110110010011000101000000000",
"100110111101010111110101011000000100110011101000",
"000000000000000000000001000000000000000000000000",
"000110100011010001101110010101100000100101110100",
"000000000000000000000000100000000000000000000000",
"100110110111001101101000101110010010001010101000",
"000000000000000000000000010000000000000000000000",
"111100111011101101110000110010110001000000111100",
"111001010111110001111011100110110011001111111100",
"000000000000000000000000000100000000000000000000",
"100100111110000010001100111111110011111110111100",
"011100100110111100000100000010000010111011111000",
"000000000000000000000000000001000000000000000000",
"011110110100011000100101100111110001110110011000",
"001001011111101101110100000011100001101100110110",
"000100110000100100010111100010010010100000000001"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"010011001000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"110001011000010000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"111111001010010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"100111101110001101000101001100101010101101011100",
"000000000000000000000000000000000000000000000010",
"100110011011001110011110101001110100011101001000",
"100100100111110100100101100001100010001110101010",
"000000000000000000000000000000000000000000000001",
"110100000110111101001111010101001101000110001000",
"011000001000010010011001110010000001011001101111",
"010111000111100011111101110011111110101110111000",
"100000100011111100010110110001101111001101010100",
"101101010011100000001010100000101000010001110101",
"001111111001111110011101100101111010011000001111",
"110001110100010000100001101111110111111101111100",
"000000100000000000000000000000000000000000000000",
"010010001100100010000101000000110101011011111100",
"010110010110011101110110001000100100011000110100",
"100100000011000101001011000000111100010111111010",
"011100111001010101100111000101010011100111001010",
"111100101110101010110001001010000000000001110010"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is S8(2) < GL(48,GF(2))";