/*
www-ATLAS of Group Representations.
3.G2(3):2 represented as 54 x 54 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,54,[
"010000000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000000",
"000000000000000000000000100000000000000000000000000000",
"000000000010000000000000000000000000000000000000000000",
"000000000000000000000000000100000000000000000000000000",
"000000000000000000000000000001000000000000000000000000",
"000000000000100000000000000000000000000000000000000000",
"000000000000000000000000000000001000000000000000000000",
"000000000000010000000000000000000000000000000000000000",
"000000000000000000000000000000000001000000000000000000",
"000000000000000000000000000000000000010000000000000000",
"000000000000000100000000000000000000000000000000000000",
"000000000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000000000100000000000",
"000000000000000001000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000100000000",
"000000000000000000100000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000000001000",
"000000000000000000001000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000000001",
"011110100110001101111001000101101101110101101000001011",
"000000000000000000000010000000000000000000000000000000",
"001011100101100011110111000000111000111010000001010111",
"000000000000000000000001000000000000000000000000000000",
"100101101011010000110101100000111100000001010101000010",
"010001110001101000100110100101110100010111010100111101",
"000000000000000000000000010000000000000000000000000000",
"100100100100000110000000010000010110011001110100100001",
"000000000000000000000000001000000000000000000000000000",
"000101101011010011001101011111100011101110001001100001",
"111101001111110111000100010011100010011100101011100001",
"000000000000000000000000000010000000000000000000000000",
"111101100101101010100100111000110000101010111001010111",
"010111001100110010111111000111010011010111110111100010",
"000000000000000000000000000000100000000000000000000000",
"100011001101010101011110101101101010100101000000100100",
"000000000000000000000000000000010000000000000000000000",
"110001101110111101000100010100011110000001101001110000",
"101101011011010001111110001011100110111000001010001011",
"000000000000000000000000000000000100000000000000000000"]);

y:=CambridgeMatrix(1,F,54,[
"010001001010000011001101100010110110010010110000100000",
"110111011011110011110100011111101110001011111010111110",
"010001001111111101100111101001001111011000010010111111",
"001000011000000101110100001100101001011000001001010111",
"000111000001101111111111010000101010110010011000111101",
"001111001110011101110001110011100100110100110110010100",
"111011110100110001000101110101110011011100001010010100",
"000001101101111111010111011110011101001001110000001101",
"001111110100001111010111100011110110100101110010111000",
"111011101010100100101100100110101101000010100010111100",
"010011110010111110111011101110010100111100010110001010",
"000010100110010000100111101110111101001010000101111000",
"001010001000010011000111100011100110100111101111010100",
"010010000001110110101110110000110101011100100011011110",
"111000000001100101011100000100000001111111111100101001",
"000011100001000011010010000110101111011010110111000001",
"110100101110010110111001101010000111010111011001100100",
"010110010001111001011000011100000011001000001101110011",
"111111000000100111001010010000101000011101101000100000",
"000011110001011011000010010010011011101001100100111100",
"000101110101110100011110000110001101000001000001110011",
"110001111000010010000101000111110011110100111001010011",
"011000000011011001011010011100011111000000101001111101",
"010111011010110001111010010000000101001111001001100011",
"000010110010111111001001000011101111011001000001001101",
"110011001101101001111001110100011101000011101110100111",
"110000010111011100000111000001110011001010000011000001",
"010100010010100111001011010101100000100100001000110011",
"110000101011010011110001001000011100101001010111011111",
"001110000010110000010001001011101110111000101001111011",
"001111000101001010100011101101101110011100001010000100",
"001000110001101110010011101100111010110101100000000000",
"100110010110100101100110110001010000010011100101110010",
"111100011110111000100000001110010001110110010101001100",
"001001011111100100000111111000010011100011011110011111",
"000001000011101101111110110100000111110110111001000101",
"010000100101001011111000111100100011111110011101001011",
"111100001000110000011010100010000110010110011110010000",
"100100011000001000010100101111110000100001000101001001",
"111000011100110110001100001001111111001011111001010100",
"101100101110011010001101100001110001100010110010001001",
"110101110101111101100011111011010001110101100010010111",
"100011011000110101000110001101011100001110001111101100",
"100110001001111100110100101001100111101001101100011010",
"000110101101101110011111001100010101000011010101101000",
"011010101111101101101011111111110000011001100001101000",
"101110000011001100010100010100001010110000101010111110",
"110100110111100001100000000111001110110011110111101010",
"011000111011100010001011100100000111000000111100011100",
"001110110010010100010100101001000111011111110100101001",
"111101001101101101000110100111101110010110001110000101",
"100010010100111011101000100010010111010001000001111011",
"111011011100011011101111101101001111001100110111100111",
"000101001101011100100111110100001100100010001000010101"]);

G<x,y>:=MatrixGroup<54,F|x,y>;
print "Group G is 3.G2(3):2 < GL(54,GF(2))";