The Republic Police Department does not own or operate a jail facility, nor are crime suspects held for long periods on the premises. All individuals are booked, and (depending upon the case) are either released or transferred to the Greene County Jail in Springfield. You may find additional details on the website of the Greene County Sherrif's Office and Greene County Jail:
Greene County Jail: https://greenecountymo.gov/sheriff/division/detention.php
Greene County Jail Active Inmate Roster: https://greenecountymo.gov/sheriff/division/detention/jailtracker.php