/*
www-ATLAS of Group Representations.
L2(32):5 represented as 20 x 20 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00001000000000000000",
"00000010000000000000",
"00100000000000000000",
"00000000100000000000",
"00010000000000000000",
"00000000001000000000",
"00000100000000000000",
"00000000000001000000",
"00000001000000000000",
"00000000000000001000",
"00000000000000000010",
"00000000010000000000",
"00000100110001100000",
"11111011111000010011",
"00000000000100000000",
"11010010010111101101",
"00000000000010000000",
"00000100110011000011"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"00000100000000000000",
"01110000000000000000",
"00000001000000000000",
"11000100000000000000",
"00000000010000000000",
"00000000000100000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000001",
"10011101011111100001",
"00010111100001110000",
"11010010100000110011",
"10110101010101000001",
"01010010001010111111",
"11100100100001100000",
"10101110101111001100"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L2(32):5 < GL(20,GF(2))";