Run The Show Meaning

(idiomatic) To be the leader, to be in charge

Example: 1904, Sara Jeannette Duncan, The Imperialist:
  "Far's I can see. Young Alf's made up his mind to learn the dentist business, and the old folks are backin' him; so I don't see but I've got to stop on and run the show. Father's gettin' up in years now."