The general administration and the responsibility for the proper operation of the retirement system and for making effective the provisions of this part and parts VII and VIII are vested in a board of trustees; subject, however, to the area of administrative control vested in the department of budget and finance by §§ 26-8 and 26-35. To fulfill its responsibilities, the system may require any department or agency of the State or counties to furnish information to the system to carry out the purposes of this chapter.