Complex sentence: Under the Tokugawa shogunate, the Miyake, as hereditary vassels of the Tokugawa clan, were classified as one of the "fudai" "daimyō" clans.
Split into simpler sentences: Under the Tokugawa shogunate, the Miyake were hereditary vassals of the Tokugawa clan. The Miyake were classified as one of the "fudai" "daimyō" clans.