The main objective of spintronics is to understand the mechanisms by which it is possible to achieve efficient electrical control of spin configurations and of spin currents. In the last decade, the way to achieve this objective has experienced a breakthrough, due to: \(i\)) the discovery and understanding of a mechanism to generate spin currents in conductors with magnetic order and in paramagnetic conductors/semiconductors, \(ii\)) the experimental observation of theoretically proposed spin injector systems and \(iii\)) the synthesis of 2D materials with long spin relaxation time. The generation of spin currents, spin injections and spin conservation are mediated by the Spin-Orbit Coupling (SOC) mainly via topological effects and/or Rashba effect. Thus, the search for systems experiencing these properties is a primary concern for the development in spintronics. In this work, we propose a non-centrosymmetric honeycomb-lattice quantum spin hall effect family formed by atoms of the groups IV, V and VII of the periodic table. We made a structural analysis and a \(Z_2\) characterization. This material presents a giant Rashba-type spin-splitting with an unusual spin texture and a hexagonal warping effect, which lead to scattering process different from the usual materials with non-trivial topological phases. We proposed a four band effective model to explain both the origins of such unusual spin texture in the Rashba effect and the SOC band inversion in the topological insulator phase. This dual behavior only has been reported in the BiTeI 3D topological insulator.