The police department of each city shall be composed of a chief of police and such other officers, patrolmen, and employees as the legislative authority thereof provides by ordinance.

The director of public safety of such city shall have the exclusive management and control of all other officers, surgeons, secretaries, clerks, and employees in the police department as provided by ordinances or resolution of such legislative authority. He may commission private policemen, who may not be in the classified list of the department, under such rules and regulations as the legislative authority prescribes.