/*
www-ATLAS of Group Representations.
U6(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",
"00111110110000000000",
"00000100000000000000",
"00000000000000100000",
"00111010001100100000",
"00000001000000000000",
"00111110011001100000",
"00000000001000000000",
"11000001000010010000",
"00101100011000101000",
"00111111010010000100",
"11101000001000100010",
"00111011000010000001"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"00000100000000000000",
"00000001000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000001000000",
"00111100100000000000",
"00001111101100000000",
"00000000000000010000",
"00000000000000001000",
"00000000000000000100",
"00000000000000000010",
"00000000001111110100",
"00000000000000000001",
"11111100010011010100",
"11111110001011010111",
"10001111010100101011",
"01011110111100111001"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is U6(2) < GL(20,GF(2))";