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Let $F$ be a $p$-adic field. Arthur recently completed endoscopic classification of irreducible admissible representations of $SO_n(F)$ and $Sp_{2n}(F)$, and constructed Arthur packets for those representations in the process. These results were extended to other classical groups by several authors. The next natural question is: what can we say about exceptional groups. In this talk, I will report our recent work on the construction of Arthur packets for unipotent representations of $G_2(F)$ arising from sub-regular unipotent orbit of $\widehat{G}_2$. This is a joint work with Clifton Cunningham and Andrew Fiori.