Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
unsympathetically is an adverb meaning "without sympathy; in an unsympathetic manner". It carries one recorded sense.
without sympathy; in an unsympathetic manner
“the judge listened to the accused unsympathetically”
Definitions, synonyms and semantic relations for unsympathetically come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.