Who was the most powerful Samurai Clan during the Edo Age of Japan?

Minamoto

The First Warrior Government (The Kamakura Shogunate, 1185–1333) By the late eleventh century, the Minamoto (also known as Genji) clan was recognized as the most powerful military clan in the northeastern region of Japan, having defeated several other powerful local groups.

the lowest among the social higher rank were the working class. this class remained detached to the political progression   of the country and was hostile to the other two classes