On derived equivalence of algebras of semidihedral groups with two simple modules

We compute the Hochschild cohomology groups of degrees not exceeding 3 for algebras of semidihedral type which form the family $SD(2\mathcal B)_1$ (from the famous K. Erdmann's classification). In the calculation, we use the beforehand construction of the initial part of the minimal projective bimodule resolution for algebras from the family under discussion. The obtained results imply that algebras from the families $SD(2\mathcal B)_1$ and $SD(2\mathcal B)_2$ with the same parameters in defining relations are not derived equivalent.