Final answer:
The oculomotor nerve is cranial nerve CN III, involved in controlling extraocular muscles and the levator palpebrae superioris as well as containing preganglionic parasympathetic fibers.
Step-by-step explanation:
The oculomotor nerve is called cranial nerve CN III. The oculomotor nerve is one of the nerves that controls the extraocular muscles, which are muscles that move the eyeball. This nerve also innervates the levator palpebrae superioris muscle, responsible for elevating the upper eyelid. In addition to motor control, it contains preganglionic parasympathetic fibers that are involved in pupillary constriction and lens accommodation. It is connected to the brain stem via its motor nuclei, which coordinate eye movements and is part of what allows us to stabilize our gaze and focus on objects.