An Upper Bound to the Number of Conjugacy Classes of Non-Abelian Nilpotent Gathering or Groups

The quantity of conjugacy classes of symmetric group, dihedral group and some nilpotent groups is gotten. Up to this point, it has not been gotten for every single nilpotent groups. Despite the fact that there are some lower bound to this esteem, there is no non-minor upper bound. This paper intends to explore an upper bound to this number for all limited nilpotent groups. Also, the correct number of conjugacy classes is found for a specific case of non-abelian nilpotent groups.