Hochschild cohomology of algebras of dihedral type. XII. Cohomology algebra for a family of exceptional algebras with two simple modules

In the recent paper of the author published in “Zapiski nauchn. semin. POMI”, vol. 531 (2024), 71–100, the Hochschild cohomology algebra is described in terms of generators and relations for a subfamily of the family $D(2\mathcal B)$ of algebras of dihedral type for which the natural parameters included in the defining relations take odd values. In the present work, the such description of the cohomology algebra is given for algebras from mentioned family in remaining cases, except small values of the parameters.