Final answer:
The synonym for 'Institute' is 'establishment,' and its antonym is 'dismantle,' referring to creating versus disbanding an organization.
Step-by-step explanation:
A synonym for Institute could be establishment, as both words refer to an organization created for a particular purpose. An antonym, on the other hand, would be dismantle, which means to take apart an organization or system. It is important to note that institute can either signify the act of setting something in motion or the organization itself, so context matters when choosing synonyms or antonyms.