The information listed here is for true, hardcore nerds who are interested in the specific details of the NCPD's functioning. Literally none of this is ever going to be relevant in an RPG campaign, and if it is, it will be overwhelmingly obvious and will not require this page. For example, you may hear the mention of a promotion: it will be rather obvious what the ranks are.
From top to bottom, these are mostly the ranks involved (some removed for simplicity, like the Deputy/Assistant positions):
Commissioner of Police: the one in charge, with direct contact to the mayor (who is always, of course, breathing down his neck about "quotas") and with, generally, a pretty loose hand in organizing the PD.
Superintendent: the red right hand of the Commissioner, mostly involved in administrative tasks and the dreaded surprise inspections that officers always fear.
Major: a position usually disliked by high ranking officers given this is the switch from active duty in a station to desk duty. Majors usually just work in the internal affairs or organizational side of things. Sometimes used as a PP (a pity-promotion, as per NCPD lingo) to let older officers keep a job.
Captain: generally considered the peak of a cop's career, Captains command stations and have entire areas of the city under their eye. A straining but fulfilling job.
Lieutenant: Lieutenants are a Captain's best friend, and usually lead a watch (a shift) or a specific unit, like the Detective Unit or the SWAC (Special Weapons And Cantrips) unit.
Sergeant: the first real promotion an officer will receive, which sees them in charge of a unit or as a supervisor during shifts.
Officer: ye olde officer of the law. A rank that a surprising amount of beat cops refuse to give up, given the stable pay, benefits and only occasional Eldritch Blast or gunfight.
The capital is divided in a number of precincts, each looking over a specific area of the city and housing one or more stations in its borders. Generally, these borders are more of a formality and an indication of where cops should restrict their patrols to. Past these borders, the work is left to the State Troopers and Sheriffs of each town.
Precinct 1: west of the city, a generally very relaxed station that mostly sees the occasional cow herd.
Precinct 2: a major post that includes the Royal Palace, Precinct 2 officers are very snobby and a little uptight.
Precinct 3: another quiet post on the edge of the city, looking over three major roads that lead to the city.
Precinct 4: the Precinct housing the Police HQ, where the Commissioner works.
Precinct 5: most crime here is financial crime, or the sporadic bank heist.
Precinct 6: an area enveloping most of the housing in Norelva, quiet and friendly.
Precinct 7: the historical area, another generally quiet, if not boring, post.
Precinct 8: the heart of the city, including the nation's political bodies. A major assignment, and a hard one.
Precinct 9: the Precinct that looks over another major residential zone, and the Red Light district.
Precinct 10 and Precinct 11: the two Precincts that look over the industrial zone, terrible places to work.