divination vs prognostication

divination and prognostication both are nouns.

Word	Noun	Adjective	Verb	Adverb
divination	Yes	No	No	No
prognostication	Yes	No	No	No

As nouns, prognostication is a hypernym of divination; that is, prognostication is a word with a broader meaning than divination:

divination: the art or gift of prophecy (or the pretense of prophecy) by supernatural means
prognostication: knowledge of the future (usually said to be obtained from a divine source)

Other hypernyms of divination include prophecy, vaticination.

As nouns, prognostication is a hypernym of divination; that is, prognostication is a word with a broader meaning than divination:

Other hypernyms of divination include forecasting, foretelling, prediction.

divination (noun)	prognostication (noun)
the art or gift of prophecy (or the pretense of prophecy) by supernatural means	knowledge of the future (usually said to be obtained from a divine source)
a prediction uttered under divine inspiration	a statement made about the future
successful conjecture by unusual insight or good luck	a sign of something about to happen