Geodesic
Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from~$2$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 30-56

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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. 
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     author = {A. I. Generalov and M. A. Kachalova and P. A. Mostovskij},
     title = {Hochschild cohomology of algebras of dihedral type. {IX.} {The} {Hochschild} cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from~$2$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {513},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a3/}
}
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A. I. Generalov; M. A. Kachalova; P. A. Mostovskij. Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from~$2$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 30-56. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a3/