Computing the full nonrigid group of tetra-tert-butyltetrahedrane using wreath product

The concept of symmetry group of nonrigid molecules as a permutation-inversion group was formulated first by Longuet-Higgins, although earlier works suggested the need for such a framework. Then Balasubramanian showed that these groups could be cast into elegant algebraic structures known as the wreath product of groups. In this study, we apply a similar method to that used by Balasubramanian to find the nonrigid group (NRG) of tetra-tert-butyltetrahedrane. Using the group theory package GAP, we calculate the conjugacy classes and character table of this molecule.