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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 aboveAD matters, we can find VOAs for more general $\mathcal{N}=2$ SCFTs engineeredfrom 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 newinteresting properties of 2d VOAs such as level-rank duality, conformalembedding, collapsing levels, coset constructions for known VOAs can be derivedfrom 4d theory.

W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes