The Combinatorial Isomer Enumeration of 1, 3, 5-trimethylbenzene by Fujita’s Topological Index

The unmatured full non-rigid group of 1,3,5-trimethylbenzene is isomorphic to the wreath product of the cyclic group of order three and the symmetric group of order six on three letters (see Int. J. Quantum Chem. 2007, 107, 340 and Bull. Chem. Soc. Jpn. 2008, 81, 279). In this paper the unit subduced cycle index table introduced by S. Fujita of the full nonrigid group 1,3,5-trimethylbenzene of order 162 are successfully derived for the first time.