  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 conjugacy
classes in those groups using MAGMA's calculator. Similarly, we reproduce
special 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 $3\leq k\leq 8$.
