  In this article we study a family of four-dimensional, $\mathcal{N}=2$
supergravity theories that interpolates between all the single dilaton
truncations of the $\mathrm{SO}(8)$ gauged $\mathcal{N}=8$ supergravity. In
this infinitely many theories characterized by two real numbers -- the
interpolation parameter and the dyonic "angle" of the gauging -- we construct
non-extremal electrically or magnetically charged black hole solutions and
their supersymmetric limits. All the supersymmetric black holes have
non-singular horizons with spherical, hyperbolic or planar topology. Some of
these supersymmetric and non-extremal black holes are new examples in the
$\mathcal{N}=8$ theory that do not belong to the STU model. We compute the
asymptotic charges, thermodynamics and boundary conditions of these black holes
and show that all of them, except one, introduce a triple trace deformation in
the dual theory.
