All semidirect products G = Q >n λ C >2 of generalized quaternion groups Q >n (n ≥ 3) by the cyclic group C >2 of order two are found and described by their en-domorphism semigroups. It follows from this description that each such semidirect product is determined by its endomorphism semigroup in the class of all groups.
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Puusemp, P. (2009). Semidirect Products of Generalized Quaternion Groups by a Cyclic Group. In: Silvestrov, S., Paal, E., Abramov, V., Stolin, A. (eds) Generalized Lie Theory in Mathematics, Physics and Beyond. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85332-9_13
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