  We consider a scale invariant extension of the standard model (SM) with a
combined breaking of conformal and electroweak symmetry in a strongly
interacting hidden $SU(n_c)$ gauge sector with $n_f$ vector-like hidden
fermions. The (pseudo) Nambu-Goldstone bosons that arise due to dynamical
chiral symmetry breaking are dark matter (DM) candidates. We focus on
$n_f=n_c=3$, where $SU(3)$ is the largest symmetry group of hidden flavor which
can be explicitly broken into either $U(1) \times U(1)$ or $SU(2)\times U(1)$.
We study DM properties and discuss consistent parameter space for each case.
Because of different mechanisms of DM annihilation the consistent parameter
space in the case of $SU(2)\times U(1)$ is significantly different from that of
$SU(3)$ if the hidden fermions have a SM $U(1)_Y$ charge of $O(1)$.
