  Motivated by their application to holographic RG flows and hairy black holes
in Einstein-scalar systems, we present a collection of superpotentials driving
the dynamics of $\mathcal{N}=2$ and $\mathcal{N}=1$ four-dimensional
supergravities. These theories arise as consistent truncations of the
electric/magnetic families of $\textrm{CSO}(p,q,r)_{c}$ maximal supergravities,
with ${p+q+r=8}$, discovered by Dall'Agata et al. The $\mathcal{N}=2$ and
$\mathcal{N}=1$ truncations describe $\textrm{SU}(3)$ and $\mathbb{Z}_{2}
\times \textrm{SO}(3)$ invariant sectors, respectively, and contain AdS$_4$
solutions preserving $\mathcal{N}=1,2,3,4$ supersymmetry within the full
theories, as well as various gauge symmetries. Realisations in terms of
non-geometric type IIB as well as geometric massive type IIA backgrounds are
also discussed. The aim of this note is to provide easy to handle
superpotentials that facilitate the study of gravitational and gauge aspects of
the $\textrm{CSO}(p,q,r)_{c}$ maximal supergravities avoiding the
technicalities required in their construction.
