This may be an elementary question, but I am simply trying to get a listing of
all of the subgroups of a given group, say, D4. I feel like I am missing an
easy way to list all of the subgroups, but the following is the only way I've
found so far:

1) Define the group: d4:=Group((1,2,3,4));
2) Create a subgroup lattice for that group: latd4:=Lattice(d4);
3) Change the PrintLevel to display a representative subgroup for each
conjugacy class, as well as the conjugates of those representatives:
SetPrintLevel(latd4,3);
4) Print the classes: latd4.classes;

I feel like there must be an easier way than this. Any help is appreciated.

Sincerely,

Wade Satterfield
satterfieldj@alpha.hendrix.edu