subdue vs vanquish

subdue and vanquish both are verbs.

Word	Noun	Adjective	Verb	Adverb
subdue	No	No	Yes	No
vanquish	No	No	Yes	No

As verbs, vanquish is a hypernym of subdue; that is, vanquish is a word with a broader meaning than subdue:

Other hypernyms of subdue include beat, beat out, crush, shell, trounce.

subdue (verb)	vanquish (verb)
correct by punishment or discipline	come out better in a competition, race, or conflict
bring under control by force or authority
make subordinate, dependent, or subservient
get on top of; deal with successfully
hold within limits and control
put down by force or intimidation