To dip further into the Atomic Rockets fanset, the incomparable (if unapologetically libertarian) Alastair Young has a writeup of one of his starships that should become the industry standard.
https://eldraeverse.com/2015/03/15/drake-class-frigate-spec-sheet/
A frigate, so not quite a capital ship, but big enough to get the job done. He lists 39 personnel
Flight Commander
Flight Executive
Flight Administrator
3 x Sailing Master, most senior serving as Flight Director
3 x Tactical / Payload Officer
3 x Astrogator / Relativistics / Sensory Operations Officer
Flight Engineer
Propulsion / Power Engineer
Thermal Systems Engineer
3 x Data Operations / Data Systems Engineer
3 x Life Support / Auxiliary Systems Engineer
12 x general techs
6 x espatiers (cross-trained in starship operations)
Thinker-class AI
A very well-rounded bunch, if you ask me! In my own setting, the protags have got their starship crew down to six:
Flight Commander/Captain
Pilot, not a dedicated role, with such a small crew the captain usually takes this job, with most of the rest of the crew rated for it.
Comms/Sensors/Data/Cryptography/Information Warfare
Astrogation and Guidance
Flight Engineer
Payload and Weapons
This works because the ship is mostly automated and the crew is not afraid to cut corners, also they're terminally overworked and everyone is expected to have their hands in everything. It's deliberately meant to be an insufficient list, if the characters could afford more crew they'd probably split payload and weapons as well split the flight engineer into drive and power. No life support officer is present, since the ship runs an entirely virtual crew and, when their even is a habitation module, it's powered down to save money.