"Source: Text/Group/Grp.text";
"Line: 4764";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/Grp.text, line: 4764
// Example: H64E28 ()
print "Example: H64E28";
ei := GetEchoInput();
SetEchoInput(true);
G := AGammaL(1, 8);
L := SubgroupLattice(G);
L;
F := FittingSubgroup(G);
F;
L!F;
H := Bottom(L);
Chain := [H];
while H ne Top(L) do
    H := Representative(MinimalOvergroups(H));
    Chain := Append(Chain, H);
end while;
Chain;
SetEchoInput(ei);
