Demons who are considered so powerful that they rule over certain parts of Hell and have a infamous reputation of doing so (in the case of both Lucifer and Lilith, they rule over ALL of Hell). Some Overlords either like (such as Valentino ,Velvet,or Vox), dislike (such as Alastor and Vox) or are indifferent to one another. It's also possible that some may have minions or armies under their command, but this is yet to be proven, though in the case of Valentino, he has many employees in his adult film business.