forget vs omit

forget and omit both are verbs.

Word	Noun	Adjective	Verb	Adverb
forget	No	No	Yes	No
omit	No	No	Yes	No

As verbs, omit is a hypernym of forget; that is, omit is a word with a broader meaning than forget:

Other hypernyms of forget include drop, leave out, miss, neglect, overleap, overlook, pretermit.

forget (verb)	omit (verb)
be unable to remember	leave undone or leave out
dismiss from the mind; stop remembering	prevent from being included or considered or accepted
leave behind unintentionally
forget to do something