theocracy vs hierocracy

theocracy and hierocracy both are nouns.

Word	Noun	Adjective	Verb	Adverb
theocracy	Yes	No	No	No
hierocracy	Yes	No	No	No

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

theocracy: a political unit governed by a deity (or by officials thought to be divinely guided)
hierocracy: a ruling body composed of clergy

Other hyponyms of theocracy include church-state.

theocracy (noun)	hierocracy (noun)
the belief in government by divine guidance	a ruling body composed of clergy
a political unit governed by a deity (or by officials thought to be divinely guided)