Asmodeus is stated to have the power of a Lesser God in the Monster Manual.Tiamat would also be a lesser deity, as would Bahamut. I think Asmodeus and the various archfiends are interesting. I don't know if Lesser god fits (maybe for Asmodeus), but they don't seem to fall into the quasi-deity sub-categories. The various archdevils empowering warlocks fits better than clerics, certainly.
What exactly is the difference between "having strength" and "having the office, which has strength"? No one can challenge Ao because Ao can write the rules. Anyone who tries to oppose his rules gets destroyed--even gods.Do overdieties run polytheistic pantheons through power or just authority. Do they have actually that much more strength or just have the highest governing power?
Ao writes the rules but is it through strength or is it a power of the office?