  We investigate static, spherically symmetric solutions of an
Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant,
for an SO(6) gauge group. For a particular value of the Chern-Simons
coefficient, this model can be viewed as a truncation of the five-dimensional
maximal gauged supergravity and we expect that the basic properties of the
solutions in the full model to persist in this truncation. Both globally
regular, particle-like solutions and black holes are considered. In contrast
with the Abelian case, the contribution of the Chern-Simons term is nontrivial
already in the static, spherically symmetric limit. We find two types of
solutions: the generic configurations whose magnetic gauge field does not
vanish fast enough at infinity (although the spacetime is asymptotically AdS),
whose mass function is divergent, and the special configurations, whose
existence depends on the Chern--Simons term, which are endowed with finite
mass. In the case of the generic configurations, we argue that the divergent
mass implies a nonvanishing trace for the stress tensor of the dual d=4 theory.
