Geodesic
Hochschild cohomology for the integer group ring of the semidihedral group
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 119-151

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We compute the Hochschild cohomology group for the integer group ring of the semidihedral 2-group $SD_{2^k}$. In calculations, we use the free bimodule resolution of the corresponding group ring. In turn, to construct that, we first construct the usual resolution of the trivial $SD_{2^k}$-module $\mathbb Z$. 
@article{ZNSL_2011_388_a4,
     author = {A. I. Generalov},
     title = {Hochschild cohomology for the integer group ring of the semidihedral group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {119--151},
     publisher = {mathdoc},
     volume = {388},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a4/}
}
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A. I. Generalov. Hochschild cohomology for the integer group ring of the semidihedral group. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 119-151. http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a4/