mace vs functionary

mace and functionary both are nouns.

Word	Noun	Adjective	Verb	Adverb
mace	Yes	No	No	No
functionary	Yes	No	No	No

As nouns, functionary is a hypernym of mace; that is, functionary is a word with a broader meaning than mace:

Other hypernyms of mace include official.

mace (noun)	functionary (noun)
a ceremonial staff carried as a symbol of office or authority	a worker who holds or is invested with an office
spice made from the dried fleshy covering of the nutmeg seed
an official who carries a mace of office