allegory vs story

allegory and story both are nouns.

Word	Noun	Adjective	Verb	Adverb
allegory	Yes	No	No	No
story	Yes	No	No	No

As nouns, story is a hypernym of allegory; that is, story is a word with a broader meaning than allegory:

allegory (noun)	story (noun)
a short moral story (often with animal characters)	a structure consisting of a room or set of rooms at a single position along a vertical scale
an expressive style that uses fictional characters and events to describe some subject by suggestive resemblances; an extended metaphor	a piece of fiction that narrates a chain of related events
a visible symbol representing an abstract idea	a short account of the news
	a trivial lie
	a message that tells the particulars of an act or occurrence or course of events; presented in writing or drama or cinema or as a radio or television program
	a record or narrative description of past events