The word "permutate" refers to the act of rearranging or changing the order of something. Some antonyms for "permutate" include "maintain," "preserve," "retain," "keep," and "uphold." These words imply that there is no change in the original state or order of something, and that it remains the same. Other antonyms for "permutate" might include "fix," "stabilize," "determine," or "settle," which suggest a definitive or stable state that is not open to variation or alteration. Ultimately, the choice of antonym depends on the context and the specific nuances of meaning that the speaker or writer wishes to convey.