Although Justices need not answer to anyone at all with perhaps the exception of defending themselves in their impeachment proceeding, the Chief does have some

Although Justices need not answer to anyone at all with perhaps the exception of defending themselves in their impeachment proceeding, the Chief does have some powers and duties, implicit ones such as designating authorship of a majority opinion when in the majority, and explicit ones such as administratively leading all of the Article II and III courts. The aclu's page is evenhanded and may be of interest. https://www.aclu.org/blog/speakeasy/role-chief-justice https://www.aclu.org/blog/speakeasy/role-chief-justice