It was recently shown that string theory on \mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4 with minimal NS-NS flux (k=1) is exactly dual to the symmetric orbifold of T4. Here we show that a similar statement also holds for the D_n orbifolds of these backgrounds that have \mathcal{N} = (2,2) supersymmetry. In this case the CFT dual is the symmetric orbifold of \mathbb{T}^4/D_n.
