contrarily vs to the contrary

contrarily and to the contrary both are adverbs.

Word	Noun	Adjective	Verb	Adverb
contrarily	No	No	No	Yes
to the contrary	No	No	No	Yes

As adverbs, contrarily and to the contrary are synonyms defined as:

Other synonyms of contrarily include contrariwise, on the contrary.

contrarily (adverb)	to the contrary (adverb)
contrary to expectations	contrary to expectations
in a contrary disobedient manner