Additional classes may be established and existing classes may be divided, combined, altered, or abolished upon recommendation of the personnel administrator, recommendation by the director after public hearing, and approval by the governor. This action may be initiated either by the personnel administrator, the director, or on request of an appointing authority. Appointing authorities intending to establish new positions shall so notify the personnel administrator, and except as otherwise provided in this chapter, no person shall be appointed to or employed for a new position until it has been properly classified as herein provided and an appropriate list established therefor.