elite group vs society

elite group and society both are nouns.

Word	Noun	Adjective	Verb	Adverb
elite group	Yes	No	No	No
society	Yes	No	No	No

As nouns, society is a hyponym of elite group; that is, society is a word with a more specific, narrower meaning than elite group:

elite group: a group or class of persons enjoying superior intellectual or social or economic status
society: the fashionable elite

elite group (noun)	society (noun)
a group or class of persons enjoying superior intellectual or social or economic status	an extended social group having a distinctive cultural and economic organization
	a formal association of people with similar interests
	the fashionable elite
	the state of being with someone