For a finite group $G$ let $\nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. The aim of this paper is to classify all the non-nilpotent groups with $\nu(G)=3$.
R. Brandl (1995). Groups with few non-normal subgroups. Comm. Algebra. 23 (6), 2091-2098 R. La Haye (1996). Some expicit bounds in groups with a finite number of non-normal subgroups. Comm. Algebra. 25 (12), 3803-3821 H. Mousavi (1999). On finite groups with few non-normal subgroups. Comm. Algebra. 27 (7), 3143-3451 J. J. Rotman (1995). An Introduction to the theory of groups. 4th ed., Springer-Verlag.
Mousavi, H. (2014). Non-nilpotent groups with three conjugacy classes of non-normal subgroups. International Journal of Group Theory, 3(2), 1-7. doi: 10.22108/ijgt.2014.3533
MLA
Mousavi, H. . "Non-nilpotent groups with three conjugacy classes of non-normal subgroups", International Journal of Group Theory, 3, 2, 2014, 1-7. doi: 10.22108/ijgt.2014.3533
HARVARD
Mousavi, H. (2014). 'Non-nilpotent groups with three conjugacy classes of non-normal subgroups', International Journal of Group Theory, 3(2), pp. 1-7. doi: 10.22108/ijgt.2014.3533
CHICAGO
H. Mousavi, "Non-nilpotent groups with three conjugacy classes of non-normal subgroups," International Journal of Group Theory, 3 2 (2014): 1-7, doi: 10.22108/ijgt.2014.3533
VANCOUVER
Mousavi, H. Non-nilpotent groups with three conjugacy classes of non-normal subgroups. International Journal of Group Theory, 2014; 3(2): 1-7. doi: 10.22108/ijgt.2014.3533