In Urgling society females are dominant but only receive supposedly minor jobs such as waitresses, secretaries or security guards. This is because they correctly perceive that the people who actually get things done, although receiving much lesser salaries, have much more power than their superiors who order them around but can't even use the copy machines.
Beyond this most of them are in positions to know valuable secrets about employers that can be taken to competitors, authorities, or wives at a moment’s notice. For this reason the Urglings welcomed Tyrano’s invasion of their world and did not bother telling him how little power he really had. Using their subtle influence they held Tyrano’s invasion of the rest of the Dimension of Doom at bay. Upon his death they turned to force, and made Michael Peterson become their new Emperor.