Interacting Boson Model may give appropriate approach to intensify the resolution for mystery lying within the structural aspects of Xenon nuclei dealing with triaxiality. Previous researches have provided suggestions regarding triaxiality in Xenon. This study indicates reduced transition probabilities B(E2) of Xenon isotopes with even neutrons from N=68 to 74. The parameter values have been determined by formation of cubic terms by Casimir invariant operators. Three – Three boson interaction are formed by addition of cubic terms breaking O(6) symmetry of IBM Hamiltonian. Transition rate R for some lowlying quadrupole collective state is studied in comparative way with experimental data and even-even 124- 130Xenon isotope is found at O(6) symmetry. Calculation results also strengthen the available experimental data.