literary genre vs drama

literary genre and drama both are nouns.

Word	Noun	Adjective	Verb	Adverb
literary genre	Yes	No	No	No
drama	Yes	No	No	No

As nouns, drama is a hyponym of literary genre; that is, drama is a word with a more specific, narrower meaning than literary genre:

Other hyponyms of literary genre include prose, form, poesy, poetry, verse, satire, steampunk.

literary genre (noun)	drama (noun)
a style of expressing yourself in writing	the quality of being arresting or highly emotional
	the literary genre of works intended for the theater
	a dramatic work intended for performance by actors on a stage
	an episode that is turbulent or highly emotional