Autarchical refers to being self-governing or having absolute authority. Some synonyms for the word autarchical include authoritarian, dictatorial, totalitarian, and despotic. These synonyms all indicate a strong, centralized power structure where one person or group holds all the decision-making authority. Other synonyms for autarchical include sovereign, independent, and self-sufficient, which all suggest a sense of self-reliance and independence. Finally, the word autarchic can also be used as a synonym for autarchical, as both words refer to a state of self-government and self-sufficiency. It's important to note that while these words are similar in meaning to autarchical, they may carry slightly different connotations depending on the context in which they are used.