deny has 3 distinct synonyms spread across 3 of its 7 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its 2 recorded opposites are admit, allow.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
declare untrue; contradict
“He denied the allegations”
refuse to grant, as of a petition or request
“The dean denied the students' request for more physics courses”
deny formally (an allegation of fact by the opposing party) in a legal suit
refuse to recognize or acknowledge
“Peter denied Jesus”
Synonyms, antonyms and the broader and narrower relations for deny come from Princeton University’s WordNet. Full sources and licences.