prognostication vs augury

prognostication and augury both are nouns.

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

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

Other hypernyms of prognostication include foretoken, preindication, sign.

prognostication (noun)	augury (noun)
knowledge of the future (usually said to be obtained from a divine source)	an event that is experienced as indicating important things to come
a statement made about the future
a sign of something about to happen