Finite 2-groups whose nonnormal subgroups have orders at most 2³

Abstract

In this paper, we classify finite 2-groups all of whose nonnormal subgroups have orders at most 2³. Together with a known result, we completely solved Problem 2279 proposed by Y. Berkovich and Z. Janko in Groups of Prime Power Order, Vol. 3.

Keywords

Minimal non-abelian p-group / nonnormal subgroup / central extension

References

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