  We identify vertex operator algebras (VOAs) of a class of Argyres-Douglas
(AD) matters with two types of non-abelian flavor symmetries. They are the $W$
algebra defined using nilpotent orbit with partition $[q^m,1^s]$. Gauging above
AD matters, we can find VOAs for more general $\mathcal{N}=2$ SCFTs engineered
from 6d $(2,0)$ theories. For example, the VOA for general $(A_{N-1}, A_{k-1})$
theory is found as the coset of a collection of above $W$ algebras. Various new
interesting properties of 2d VOAs such as level-rank duality, conformal
embedding, collapsing levels, coset constructions for known VOAs can be derived
from 4d theory.
