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) × U (1) or SU (2) × 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) × U (1) is significantly different from that of SU (3) if the hidden fermions have a SM U (1) Y charge of O(1).