Nonrigid group theory for 1,3,5-trimethylbenzene

Using nonrigid group theory, the full nonrigid (f-NRG) group of 1,3,5-trimethylbenzene (TMB) is shown to be isomorphic to the group S(3)[C(3)] = C(3) similar to S(3) of order 162, where similar to denotes the wreath product of groups, and C(3) is the cyclic group of order three and S(3) is the symmetric group of order six on three letters. This group has 22 conjugacy classes and irreducible representations. The character table of the full nonrigid TMB is then derived for the first time. (c) 2006 Wiley Periodicals, Inc.