mushroom coral vs madrepore

mushroom coral and madrepore both are nouns.

Word	Noun	Adjective	Verb	Adverb
mushroom coral	Yes	No	No	No
madrepore	Yes	No	No	No

As nouns, madrepore is a hypernym of mushroom coral; that is, madrepore is a word with a broader meaning than mushroom coral:

mushroom coral: flattened disk-shaped stony coral (usually solitary and unattached)
madrepore: corals having calcareous skeletons aggregations of which form reefs and islands

Other hypernyms of mushroom coral include madriporian coral, stony coral.

mushroom coral (noun)	madrepore (noun)
flattened disk-shaped stony coral (usually solitary and unattached)	corals having calcareous skeletons aggregations of which form reefs and islands