what you are trying to implements its the power set, thats means the set of all subsets of a group, including the empty set and the group itself.
Here is one possible iterative implementation in java :
public static <T> List<List<T>> powerset(Collection<T> list) {
List<List<T>> ps = new ArrayList<List<T>>();
ps.add(new ArrayList<T>()); // add the empty set
// for every item in the original list
for (T item : list) {
List<List<T>> newPs = new ArrayList<List<T>>();
for (List<T> subset : ps) {
// copy all of the current powerset's subsets
newPs.add(subset);
// plus the subsets appended with the current item
List<T> newSubset = new ArrayList<T>(subset);
newSubset.add(item);
newPs.add(newSubset);
}
// powerset is now powerset of list.subList(0, list.indexOf(item)+1)
ps = newPs;
}
return ps;
}