allegory vs parable

allegory and parable both are nouns.

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

As nouns, allegory and parable are synonyms defined as:

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

Other synonyms of allegory include apologue, fable.

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