Let G be a finite group and c(G) denote the number of cyclic subgroups of G. The group G is called an n-cyclic group if c(G)=n\documentclass[12pt]{minimal}
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\begin{document}$$c(G) = n$$\end{document}. In an earlier paper, finite n-cyclic groups with n≤8\documentclass[12pt]{minimal}
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\begin{document}$$n \le 8$$\end{document} are classified and a characterization of the alternating group on five symbols based on the number of cyclic subgroups is given. The aim of this article is to continue this work by presenting a characterization of the simple group PSL(2, 7), by the number of cyclic subgroups. It is also proved that G is a 9-cyclic group if and only if G≅D14\documentclass[12pt]{minimal}
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\begin{document}$$G \cong D_{14}$$\end{document}, Z5:Z4\documentclass[12pt]{minimal}
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\begin{document}$$Z_5:Z_4$$\end{document}, Z7:Z3\documentclass[12pt]{minimal}
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\begin{document}$$Z_7:Z_3$$\end{document}, Z3:Z8\documentclass[12pt]{minimal}
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\begin{document}$$Z_3:Z_8$$\end{document}, Z7×Z7\documentclass[12pt]{minimal}
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\begin{document}$$Z_7 \times Z_7$$\end{document}, Zp2q2\documentclass[12pt]{minimal}
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\begin{document}$$Z_{p^2q^2}$$\end{document} and Zp8\documentclass[12pt]{minimal}
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\begin{document}$$Z_{p^8}$$\end{document}, where p and q are different primes, and G is 10-cyclic group if and only if G≅D12\documentclass[12pt]{minimal}
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\begin{document}$$G \cong D_{12}$$\end{document}, SD16\documentclass[12pt]{minimal}
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\begin{document}$$SD_{16}$$\end{document}, Z4:Z4\documentclass[12pt]{minimal}
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\begin{document}$$Z_4:Z_4$$\end{document}, Z4×Z4\documentclass[12pt]{minimal}
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\begin{document}$$Z_4 \times Z_4$$\end{document}, Z16:Z2\documentclass[12pt]{minimal}
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\begin{document}$$Z_{16}:Z_2$$\end{document}, Z16×Z2\documentclass[12pt]{minimal}
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\begin{document}$$Z_{16} \times Z_2$$\end{document}, Z2×Q8\documentclass[12pt]{minimal}
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\begin{document}$$Z_2 \times Q_8$$\end{document}, Z3r×Z3\documentclass[12pt]{minimal}
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\begin{document}$$Z_{3r} \times Z_3$$\end{document}, Zr×S3\documentclass[12pt]{minimal}
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\begin{document}$$Z_r \times S_3$$\end{document}, Zp×Q8\documentclass[12pt]{minimal}
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\begin{document}$$Z_p \times Q_8$$\end{document} and Zp4q\documentclass[12pt]{minimal}
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\begin{document}$$Z_{p^4q}$$\end{document}, where p, q, r are primes and r≠3\documentclass[12pt]{minimal}
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\begin{document}$$r \ne 3$$\end{document}.
