hold sway over
Dominate, have a controlling influence over, as in He held sway over the entire department. This idiom uses the noun sway in the sense of “power” or “dominion,” a usage dating from the late 1500s.
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.