Greek vs Hellene

Greek and Hellene both are nouns.

Word	Noun	Adjective	Verb	Adverb
Greek	Yes	Yes	No	No
Hellene	Yes	No	No	No

As nouns, Greek and Hellene are synonyms defined as:

Greek (noun)	Hellene (noun)
the Hellenic branch of the Indo-European family of languages	a native or inhabitant of Greece
a native or inhabitant of Greece

Greek (adjective)	Hellene (adjective)
of or relating to or characteristic of Greece or the Greeks or the Greek language