/*
www-ATLAS of Group Representations.
L6(2) represented as 20 x 20 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00001000000000000000",
"00000010000000000000",
"00100000000000000000",
"00000000010000000000",
"00010000000000000000",
"11101101010000000000",
"00111110110000000000",
"00000100000000000000",
"00000000000000100000",
"00111111100110000000",
"11010110010010000000",
"11010011111011100000",
"00000000001000000000",
"00101000000000010000",
"11101100011000101000",
"11010111101010100100",
"11111010001000100010",
"11010111100010000001"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"00000100000000000000",
"00000001000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000010000000",
"01001100100000000000",
"00000000000001000000",
"00000000000000010000",
"00000000000000001000",
"00000000000000000100",
"00000000000000000010",
"00000000000000000001",
"11010100001010000100",
"01001111110110000101",
"10110001001000010100",
"01011011110100100101",
"10100010101000101100"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L6(2) < GL(20,GF(2))";