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

Knit product of finite groups and sampling