Finite nilpotent groups having exactly five conjugacy classes

Abstract

In this paper, we characterize the finite nilpotent groups having exactly five conjugacy classes of non-normal subgroups.

Keywords

• non-normal subgroup
• conjugacy class
• nilpotent group
• classification

References

1. [1] N. Blackburn, Finite Groups in which the Nonnormal Subgroups have Nontrivial Intersection, J. Algebra 3, 30–37, 1966