/*
www-ATLAS of Group Representations.
L6(2):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",
"00000000000010000000",
"00000000000000100000",
"00000100000000000000",
"00000100011000000000",
"00010110110100100000",
"00000001000000000000",
"11101100010001000000",
"00000000100000000000",
"11111111010010010000",
"11000101010010001000",
"11101101010010000100",
"00000100010000000010",
"00101101010010000001"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"00000100000000000000",
"00000001000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000001000000",
"01101100100000000000",
"00000000000000010000",
"00000000000000001000",
"00000000000000000100",
"11010111010111011100",
"00000000000000000010",
"10000111101100101000",
"00000000000000000001",
"01111111000101001001",
"01101111101111110001",
"11100010100101000011",
"11010011001101100100"]);

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