Department of Mathematics, Faculty of Informatics, National University of Kyiv-Mohyla Academy, vul. Skorovody 2, 0470 Kyiv, Ukraine
Abstract. Nonabelian nonmetacyclic finite 2-groups in which every proper subgroup is abelian or metacyclic and possessing at least one nonabelian and at least one nonmetacyclic proper subgroup have been investigated and classified. Using the obtained result and two previously known results one gets the complete classification of all nonabelian nonmetacyclic finite 2-groups in which every proper subgroup is abelian or metacyclic.
2000 Mathematics Subject Classification. 20D15.
Key words and phrases. Finite group, 2-group, abelian, metacyclic.