/*
www-ATLAS of Group Representations.
L5(2):2 represented as 20 x 20 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000010000000000000",
"00000000100000000000",
"00001000000000000000",
"00000000000100000000",
"00000100000000000000",
"11110001010100000000",
"10101110111100000000",
"00000001000000000000",
"00000000000000000100",
"00000000000000000010",
"11100000101011110010",
"10011010010110010100",
"00000000000000000001",
"00000000000010000000",
"00000000000001000000",
"00000000000000001000"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"01100000000000000000",
"00001000000000000000",
"00000100000000000000",
"00000001000000000000",
"00000000010000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000001000000",
"00000000000000100000",
"00000000000000010000",
"00000000000000001000",
"10100000000010000000",
"01011101101110010100",
"00000010000100000100",
"00110111011000110000",
"00111010010100010000",
"00101000110100111010",
"00101110001001001000",
"01100000011001101101"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L5(2):2 < GL(20,GF(2))";