1. Showing no respect for established laws, rules, institutions, or authority: The anarchic mob was completely out of control and tried to destroy the bank.
2. Characterized by a lack of organization or control: The herd of wild ponies raced around in an anarchic manner, trying to escape from the corral.
3. Likely to cause the overthrow of a formal system of government or a breakdown of law and order: The rioters had anarchic objectives which were to create havoc and disruption in the city.