New Mexico Statutes Chapter 9. Executive Department § 9-1-4. Cabinet departments; structure

(1) the principal unit of the executive branch is a “department,” headed by a “secretary,” who shall be appointed by the governor with the consent of the senate and who shall serve at his pleasure;

(2) the principal unit of a department is a “division,” headed by a “director,” who shall be appointed by the secretary with the approval of the governor and who shall serve at the secretary's pleasure;

(3) the principal unit of a division is a “bureau,” headed by a “chief,” who is employed by the secretary and who is covered by, and subject to, the provisions of the Personnel Act;  1 and

(4) the principal unit of a bureau is a “section,” headed by a “supervisor,” who is employed by the secretary and who is covered by, and subject to, the provisions of the Personnel Act.