minors vs conference

minors and conference both are nouns.

Word	Noun	Adjective	Verb	Adverb
minors	Yes	No	No	No
conference	Yes	No	No	No

As nouns, conference is a hypernym of minors; that is, conference is a word with a broader meaning than minors:

minors: a league of teams that do not belong to a major league (especially baseball)
conference: an association of sports teams that organizes matches for its members

Other hypernyms of minors include league.

minors (noun)	conference (noun)
a league of teams that do not belong to a major league (especially baseball)	a discussion among participants who have an agreed (serious) topic
	a prearranged meeting for consultation or exchange of information or discussion (especially one with a formal agenda)
	an association of sports teams that organizes matches for its members