The full non-rigid group of hexamethylbenzene using wreath product

The character table of the non-rigid hexamethylbenzene, C6(CH3)6, is derived for the first time. The group of all feasible permutations is the wreath product group D6[Z3] = Z3 ∼ D6 and it consists of 8748 operations divided into 174 conjugacy classes and irreducible representations. We have shown that the full character table can be constructed using elegant matrix type generator algebra. The group can also be useful for weakly-bound (NH3)6.