Is the shogun under the daimyo?

No, the shogun is not under the daimyo; rather, the shogun is the highest military leader in feudal Japan and holds power over the entire country, including the daimyo. The daimyo are regional lords who govern specific territories and owe allegiance to the shogun. In this hierarchy, the shogun has authority over the daimyo, who manage their lands and vassals under the shogun's overarching rule.