In this article, we first compute the quantum dimensions of irreducible V τ √ 2A 2 -modules. These quantum dimensions give upper bounds on fusion rules among irreducible V τ √ 2A 2 -modules. Together with the lower bounds obtained by Lam and the author, we determine explicitly fusion rules among all irreducible V τ √ 2A 2 -modules of twisted type. This work completes the program for determining the fusion rules among irreducible V τ √ 2A 2 -modules.