State Government
(1) Every High Court has superintendence over all courts and tribunals within its territorial jurisdiction. (2)-(3) It can call for returns, make general rules for lower courts' practice and procedure, prescribe record-keeping forms, and settle fee schedules - subject to existing law and the Governor's approval. (4) This doesn't extend to Armed Forces tribunals/courts.
Beyond deciding individual appeals, a High Court has broad administrative and supervisory control over every lower court and tribunal in its state - setting their procedural rules, monitoring their functioning, and generally overseeing how the state's entire judicial system below it operates.
This is the constitutional basis for a High Court's power to issue administrative directions to district courts and other lower courts within its state - for example, standardising procedures or addressing systemic delays across the subordinate judiciary.