Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2

We compute the Hochschild cohomology groups for algebras of semidihedral type which are contained in the family $SD(2\mathcal B)_2$ (from the famous K. Erdmann's classification) over an algebraically closed field of characteristic two. In the calculation, we use a construction of the bimodule resolution for algebras from the above family.