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Using non-rigid group theory, it was previously shown that the full non-rigid group of 2,4-dimethylbenzene is an ummatured and isomorphic to the group C2×(C3wrC2) of order 36, where Cn is the cyclic group of order n, the symbols × and wr stand for the direct and wreath products, respectively. Here- in, it is first shown that this group has 12 dominant classes. Then, the Marka- racter Table, the Table of all integer-valued characters and the unit subduced cycle index (USCI) Table of the full non-rigid group of 2,4-dimethylbenzene are successfully derived for the first time.

The Fujita combinatorial enumeration for the non-rigid group of 2,4-dimethylbenzene