Many Genji clans, except for the conferment of a court rank and appointment to an office, were forbidden to broadly share a common Minamoto family name in the same way as the Kamakura-dono, and were treated simply as Kenin (retainers).
多くの源氏一門は叙位任官を除き、特に無碍に鎌倉殿と同様に源姓を称することを禁じられ、あくまで家人として遇された。