parable vs allegory

parable and allegory both are nouns.

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

As nouns, parable and allegory are synonyms defined as:

parable and allegory: a short moral story (often with animal characters)

Other synonyms of parable include apologue, fable.

parable (noun)	allegory (noun)
a short moral story (often with animal characters)	a short moral story (often with animal characters)
(New Testament) any of the stories told by Jesus to convey his religious message	an expressive style that uses fictional characters and events to describe some subject by suggestive resemblances; an extended metaphor
	a visible symbol representing an abstract idea