We find the polynomials
$P\in \u2102\left[X\right]$
of degree
$\mathfrak{2}\mathfrak{3}$ such that
the Galois group of
$P\left(x\right)t$
over
$\u2102\left(t\right)$ is the
Mathieu group ${M}_{\mathfrak{2}\mathfrak{3}}$.
This completes the computation of polyomials
$P$ for which the
Galois group of
$P\left(x\right)t$
is among the exceptional groups listed by Müller.
