<p>This paper first develops a microscopic ISR rumor propagation model with group structural properties, using simplicial complexes to characterize the diffusion process. It then systematically investigates the dynamics of the ISR model under the uniform mixing assumption with pairwise and 2-simplex spreading patterns. Specifically, theoretical analysis shows that, when the propagation coefficient is taken as the bifurcation parameter, the model may undergo both forward and backward bifurcations, leading to bistability and discontinuous transitions, phenomena rarely observed in traditional graph-based models. Moreover, this study proposes the concept of hyperedge importance index (H-EI) as a basis for selecting target hyperedges for intervention, enabling precise control over rumor spreading groups. Furthermore, stochastic simulations verify that the theory derived from the mean-field model can well describe the microscopic propagation process. Furthermore, stochastic simulations based on the microscopic model are conducted to validate the theoretical predictions of the mean-field system, demonstrating good agreement between macroscopic and microscopic dynamics. These results provide a systematic framework for understanding and controlling rumor propagation under higher-order interaction structures.</p>