"Source: Text/Group/Grp.text";
"Line: 4741";
"Date: Mon Mar 29 16:52:44 2021";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Group/Grp.text, line: 4741
// Example: H63E28 ()
print "Example: H63E28";
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);
