  We study Dark Matter (DM) phenomenology with multiple DM species consisting
of both scalar and vector DM particles. More specifically, we study the Hidden
Gauged SU(3) model of Arcadi {\it et al}. Before proceeding to the Hidden
Gauged SU(3) model, we study the relic abundances of simplified multi-species
DM scenarios to gain some insights when multiple species and interactions are
included. In the Hidden Gauged SU(3) model, because of the large parameter
space, we restrict ourselves to three representative benchmark points, each
with multiple DM species. The relic densities for the benchmark points were
found using a program developed to solve the coupled Boltzmann equations for an
arbitrary number of interacting DM species with two particles in the final
state. For each case, we varied the mass of the DM particles and then found the
value of the dark SU(3) gauge coupling that gives the correct relic density. We
found that in some regions of the parameter space, the DM would be difficult to
observe in direct detection experiments while easier to observe in indirect
detection experiments and vice versa, so that complementary measurements could
help pinpoint the details of the Hidden Gauged SU(3) model. Important to this,
is that even for moderate changes in input parameter values, the relative relic
density of each species can change significantly resulting in large changes in
the observability of multi-species DM by direct or indirect detection.
