  We prove the quantum McKay correspondence formulae conjectured by J. Bryan
and A. Gholampour for the type D (binary) polyhedral groups in SU(2) and SO(3).
We use the method of induction by the WDVV equation and from the normal
subgroups by J. Bryan and A. Gholampour, and the polynomiality technique
developed in this article. We are also based on the validity of the
corresponding conjecture for type A groups, which is proved by T. Coates, A.
Corti, H. Iritani, and H.-H. Tseng.
