allegiance vs faith

allegiance and faith both are nouns.

Word	Noun	Adjective	Verb	Adverb
allegiance	Yes	No	No	No
faith	Yes	No	No	No

As nouns, faith is a hyponym of allegiance; that is, faith is a word with a more specific, narrower meaning than allegiance:

allegiance: the act of binding yourself (intellectually or emotionally) to a course of action
faith: loyalty or allegiance to a cause or a person

Other hyponyms of allegiance include communalism, consecration, devotion, enlistment.

allegiance (noun)	faith (noun)
the act of binding yourself (intellectually or emotionally) to a course of action	loyalty or allegiance to a cause or a person
the loyalty that citizens owe to their country (or subjects to their sovereign)	a strong belief in a supernatural power or powers that control human destiny
	complete confidence in a person or plan etc
	an institution to express belief in a divine power