Computing the Number of Subgroups of Group T4n×C2

Abstract

The aim of this paper to compute the number of subgroups of the group T4n×C2. S. R. Cavior in year 1975 presented the number of subgroups of the dihedral group computed it is equal to ?(n)+?(n) and Shelash and Ashrafi computed the number of subgroups of the Dicyclic group T_4n, its equal to ?(2n)+?(n). We in this project proved that the number of subgroups of direct product T4n×C2 is equal to 2?(2n)+?(n)+3?(n)+2?(n/2).