/*
www-ATLAS of Group Representations.
U5(2):2 represented as 20 x 20 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00001000000000000000",
"00000010000000000000",
"00100000000000000000",
"00000000100000000000",
"00010000000000000000",
"11010111100000000000",
"00000100000000000000",
"00000000000010000000",
"00000000000001000000",
"00000000000000010000",
"00000000010000000000",
"00000000001000000000",
"10010001100000100000",
"00000000000100000000",
"00000000000000000010",
"00000000000000000001",
"00000000000000001000",
"00000000000000000100"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"00000100000000000000",
"00000001000000000000",
"10011101000000000000",
"00000000010000000000",
"00000000001000000000",
"01001101010000000000",
"00000000000100000000",
"10000000000000000000",
"00000000000000100000",
"00000000000000001000",
"00000000000000000100",
"00000011011101100100",
"00000010001000100000",
"11000000011110100000",
"10010010111100010100",
"01100001110010001000",
"00111100101100100010",
"11000110101100110111"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is U5(2):2 < GL(20,GF(2))";