The Aihole Inscription is associated with the Chalukya Dynasty. The Chalukyas were a prominent Indian dynasty that ruled a large part of southern and central India from the 6th to the 12th century. The inscription itself was found in Aihole, which is located in present-day Karnataka, a region that was under the control of the Chalukyas during that time. The inscription is important because it provides valuable information about the rulers and their achievements during their reign. The Parmar Dynasty, Chola Dynasty, and Rashtrakut Dynasty were also significant dynasties in India, but they are not directly associated with the Aihole Inscription.