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We show that the group algebras$\mathbb{C}[\text{SL}_3(\mathbb{F}_3[t]/(t^3))]$ and$\mathbb{C}[\text{SL}_3(\mathbb{Z}/27)]$ are not isomorphic, as well as$\mathbb{C}[\text{SL}_4(\mathbb{F}_2[t]/(t^3))]$ and$\mathbb{C}[\text{SL}_4(\mathbb{Z}/8)]$, by computing the number of conjugacyclasses in those groups using MAGMA's calculator. Similarly, we reproducespecial cases of a recent result by Hassain and Singla, showing that$\mathbb{C}[\text{SL}_2(\mathbb{F}_2[t]/(t^k))]\ncong\mathbb{C}[\text{SL}_2(\mathbb{Z}/2^k)]$for $3\leq k\leq 8$.

On representation zeta function of special linear groups over finite principal ideal local rings