Our analysis involves enhancing the <math><mi>Δ</mi><mo>(</mo><mn>54</mn><mo>)</mo></math> flavor symmetry model with Inverse Seesaw mechanism along with two SM Higgs through the incorporation of distinct flavons. Additionally, we introduce supplementary <math><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>⊗</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>⊗</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>4</mn></mrow></msub></math> symmetries to eliminate any undesirable components within our investigation. The exact tri-bimaximal neutrino mixing pattern undergoes a deviation as a result of the incorporation of extra flavons, leading to the emergence of a non-zero reactor angle <math><msub><mrow><mi>θ</mi></mrow><mrow><mn>13</mn></mrow></msub></math> that aligns with the latest experimental findings. It was found that for our model the atmospheric oscillation parameter occupies the lower octant for normal hierarchy case. We also examine the parameter space of the model for normal hierarchy to explore the Dirac CP (<math><msub><mrow><mi>δ</mi></mrow><mrow><mi>C</mi><mi>P</mi></mrow></msub></math>), Jarlskog invariant parameter (J) and the Neutrinoless double-beta decay parameter (<math><msub><mrow><mi>m</mi></mrow><mrow><mi>β</mi><mi>β</mi></mrow></msub></math>) and found it in agreement with the neutrino latest data. Hence our model may be testable in the future neutrino experiments.

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