admission vs confession

admission and confession both are nouns.

Word	Noun	Adjective	Verb	Adverb
admission	Yes	No	No	No
confession	Yes	No	No	No

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

admission (noun)	confession (noun)
the act of admitting someone to enter	(Roman Catholic Church) the act of a penitent disclosing his sinfulness before a priest in the sacrament of penance in the hope of absolution
the right to enter	an admission of misdeeds or faults
an acknowledgment of the truth of something	a written document acknowledging an offense and signed by the guilty party
the fee charged for admission	a public declaration of your faith
	the document that spells out the belief system of a given church (especially the Reformation churches of the 16th century)