The word "kult" is often associated with a group or organization that is seen as having extreme or unusual beliefs or practices. Synonyms for this word include "sect," "cultus," "religious group," "clique," "cabal," or "society."
Another set of synonyms for "kult" could include words that describe a fandom or fan culture, such as "obsession," "enthusiasm," "passion," "devotion," or "adoration." This usage of the word is often associated with popular culture phenomena such as movies, TV shows, music, or sports teams.
Ultimately, the appropriate synonym for "kult" will depend on the context and connotations intended by the speaker or writer using the term.