catechesis vs pedagogy

catechesis and pedagogy both are nouns.

Word	Noun	Adjective	Verb	Adverb
catechesis	Yes	No	No	No
pedagogy	Yes	No	No	No

As nouns, pedagogy is a hypernym of catechesis; that is, pedagogy is a word with a broader meaning than catechesis:

Other hypernyms of catechesis include instruction, teaching.

catechesis (noun)	pedagogy (noun)
oral religious instruction (as before baptism or confirmation)	the profession of a teacher
	the activities of educating or instructing; activities that impart knowledge or skill
	the principles and methods of instruction