/*
www-ATLAS of Group Representations.
F4(2) represented as 26 x 26 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,26,[
"10010110101010101101001010",
"11111001101110001100011011",
"00011101110101011000001010",
"00011001110001010100100111",
"10111001100010100111100110",
"10100111101011011101111001",
"10011000001110000110011010",
"01011010000101101111000111",
"10000100110100001100100011",
"01000010000000111011101101",
"10100100010000001111100100",
"00100001111010100100101111",
"10011011111110100001110010",
"01011010000101011100010011",
"00100000000011111011110101",
"11010101111111111010111001",
"10101010010101011001101100",
"10001001001001010011100011",
"10011100110011111101100001",
"00110111100111011100011001",
"00111001010110001111111111",
"10000000001011010111101000",
"00111101110101011000000010",
"11011111100010110111011100",
"10000010101001110101011010",
"01001110001100010011111000"]);

y:=CambridgeMatrix(1,F,26,[
"11011110100111000010001100",
"11001001000101001001111000",
"01101010001000010000100011",
"10111010011011010000000101",
"01101110100010010000011111",
"01101111011001011010000100",
"11100000010111000101100111",
"01110101111111001011110001",
"00110100001111101100111001",
"11111010011100101110101011",
"01100111011000101101011100",
"00101111010100000101010101",
"00000111110110110010100010",
"11100110011001010011011110",
"01000101011011010110101110",
"10011000110001111110010011",
"00011111110110000111011101",
"00010100010011111001100110",
"01010001111011000111010111",
"10100110111011100011111111",
"01000101110010010000101101",
"01000011001001010001001001",
"10111101111001000100011101",
"01001011000111100010100010",
"11010110100100101001011110",
"01101001110111100100100111"]);

G<x,y>:=MatrixGroup<26,F|x,y>;
print "Group G is F4(2) < GL(26,GF(2))";