Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from $2$

The Hochschild cohomology ring for algebras of dihedral type which form the family $D(3\mathcal K)$ (from the famous K. Erdmann's classification) over an algebraically closed field with characteristic different from $2$ is described in terms of generators and relations.