Del. Code tit. 29 § 8310
The Department, through appropriate divisions, subdivisions and offices, shall have the power to perform and shall be responsible for the performance of all the powers, duties and functions vested by law in the Budget Director, State Tax Department, State Tax Board, Collector of State Revenue, State Treasurer, Arbitration Committee, Disability Commission, Board of State Employees' Pension Trustees, Board of State Judiciary Pension Trustees and State Police Pension Board immediately prior to the effective date of this chapter and which are not otherwise specifically transferred to the Department by this chapter, excepting only those powers, duties and functions hereinabove expressly vested in or retained by any such person, department, board, commission or agency.
29 Del. C. § 8310