  A finite sampling theory associated with a unitary representation of a finite
non Abelian group $\mathbf{G}$ on a Hilbert space is stablished. The non
Abelian group $\mathbf{G}$ is a knit product $\mathbf{N}\bowtie \mathbf{H}$ of
two finite subgroups $\mathbf{N}$ and $\mathbf{H}$. Sampling formulas where the
samples are indexed by either $\mathbf{N}$ or $\mathbf{H}$ are obtained. Using
suitable expressions for the involved samples, the problem is reduced to obtain
dual frames in the Hilbert space $\ell^2(\mathbf{G})$ having a unitary
invariance property; this is done by using matrix analysis techniques. An
example involving dihedral groups illustrates the obtained sampling results.
