/*
www-ATLAS of Group Representations.
U6(2):S3 represented as 34 x 34 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,34,[
"0100000000000000000000000000000000",
"1000000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000001000000000000000000000000000",
"0010000000000000000000000000000000",
"0000000001000000000000000000000000",
"0001000000000000000000000000000000",
"0000000000001000000000000000000000",
"0000000000000010000000000000000000",
"0000010000000000000000000000000000",
"0000000000000000100000000000000000",
"0000000000000000001000000000000000",
"0000000100000000000000000000000000",
"0000000000000000000001000000000000",
"0000000010000000000000000000000000",
"0000000000000000000000001000000000",
"0000000000100000000000000000000000",
"0000000000000000000000000001000000",
"0000000000010000000000000000000000",
"0000000000000000000000000000010000",
"0000000000000000000000000000000100",
"0000000000000100000000000000000000",
"0000000000000000000000000000000001",
"1111101010010111011111011001010100",
"0000000000000001000000000000000000",
"0011101010010011011110001101010100",
"0011101110111011111100101011010001",
"0000000000000000010000000000000000",
"0000010001100000110010100001100101",
"0000000000000000000100000000000000",
"1111101110001111000011001000001100",
"0000000000000000000010000000000000",
"1110100000100100100011000000000110",
"0000000000000000000000100000000000"]);

y:=CambridgeMatrix(1,F,34,[
"0010000000000000000000000000000000",
"0001000000000000000000000000000000",
"0000010000000000000000000000000000",
"0000000100000000000000000000000000",
"0000000010000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000010000000000000000000000",
"0000000000000100000000000000000000",
"0100110010000000000000000000000000",
"0000000000000001000000000000000000",
"0000000000000000010000000000000000",
"0000000000000000000100000000000000",
"0000000000000000000010000000000000",
"0000000000000000000000100000000000",
"0000000000000000000000010000000000",
"0000000000000000000000000100000000",
"0000000000000000000000000010000000",
"1101010000100100000000100000000000",
"0000000000000000000000000000100000",
"0000000000000000000000000000001000",
"0000000000000000000000000000000010",
"1101000110001110010010110011110110",
"1011000100100000010000100000000000",
"1101101011111101110111011100001010",
"1011101001001000110011101111000001",
"1111101011101100100011110010110100",
"0011001101010011100010110010111101",
"0001001110110100100110111101110100",
"1010111010001100001010010000001110",
"1001101001111001101100011111001000",
"1000010001101101010001001100111101",
"1101110000010100000001001110000100",
"0100101110100011110011001000001100",
"0111010001010101010000000011000101"]);

G<x,y>:=MatrixGroup<34,F|x,y>;
print "Group G is U6(2):S3 < GL(34,GF(2))";