Finite groups with small number of cyclic subgroups

TL;DR

This paper investigates finite groups that have at most six cyclic subgroups, aiming to classify and understand their structure and properties.

Contribution

The paper provides a classification of finite groups with a small number of cyclic subgroups, specifically those with no more than six.

Findings

Complete classification of such groups

Identification of structural properties of these groups

Examples illustrating the classification

Abstract

In this note, we study the finite groups with the number of cylic subgroups no greater than 6.