Fabian vs socialist

Fabian and socialist both are nouns.

Word	Noun	Adjective	Verb	Adverb
Fabian	Yes	Yes	No	No
socialist	Yes	Yes	No	No

As nouns, socialist is a hypernym of Fabian; that is, socialist is a word with a broader meaning than Fabian:

Fabian (noun)	socialist (noun)
a member of the Fabian Society in Britain	a political advocate of socialism

Fabian (adjective)	socialist (adjective)
of or relating to Fabianism	advocating or following the socialist principles