  We explicitly construct $N=10$ Chern-Simons gaged supergravity in three
dimensions with non-semisimple gauge group $SO(5)\ltimes \mathbf{T}^{10}$. The
gauge group is embedded in $E_{6(-14)}$ which is the isometry group of the
32-dimensional scalar manifold $E_{6(-14)}/SO(10)\times U(1)$. The resulting
theory is on-shell equivalent to $SO(5)$ Yang-Mills gauged supergravity coming
from dimensional reduction on $S^1$ of $SO(5)$ $N=5$ gauged supergravity in
four dimensions. We discuss the spectrum of the corresponding reduction. The
$SO(5)\ltimes \mathbf{T}^{10}$ gauged supergravity, describing the reduced
theory, admits a $\frac{1}{2}$-BPS domain wall vacuum solution whose explicit
form is also given. This provides an example of a domain wall in non-maximal
gauged supergravity.
