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Yayın The unite subduced cycle index table of some molecules(Maltepe Üniversitesi, 2009) Moghani, A.; Zaeembashi, A.; Sorouhesh, M. R.Recently, the full non-rigid (f-NRG) groups of some molecules have been showed via new structures as direct product, semidirect product and wreath product. A subduced representation denoted by G ¡ =Gi ¢ # Gj as a subgroup of the coset representation G ¡ =Gi ¢ that contains only the elements associated with the elements of Gj A unit subduced cycle index (USCI) is defined: