The phrase "lord it over" refers to the act of exerting authority over another person in a dictatorial or overbearing way. There are many synonyms for this phrase, which can be used to convey a similar meaning in different contexts. Some of the most common synonyms include "dominate," "bully," "control," "govern," "command," "intimidate," "rule," and "supervise." Each of these words conveys a sense of power and domination, and can be used to describe a person who is behaving in a condescending or oppressive way towards others. Other synonyms that can be used in specific situations might include "micromanage," "harass," or "boss around".