make out has 39 distinct synonyms spread across 7 of its 10 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. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
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.
detect with the senses
“The fleeing convicts were picked out of the darkness by the watchful prison guards”
comprehend
“I cannot make out what this politician is saying”
have sexual intercourse with
“This student sleeps with everyone in her dorm”
imply or suggest
“Your remarks make me out to be stupid”
try to establish
“She made out that she know nothing about the crime”
Synonyms, antonyms and the broader and narrower relations for make out come from Princeton University’s WordNet. Full sources and licences.