The wholeness principle is analysed for non-abelian gauge symmetry. This principle states that nature acts through grouping. It says that physical laws should be derived from fields associations. At this work, we consider on the possibility of introducting a non-abelian fields set { a I A  } under a common gauge parameter. A Yang-Mills extension is studied. Taking the) (N SU symmetry group with different potential fields rotating under a same group, new fields strengths are developed. They

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... ess covariant entities which are granular, collective, correlated, and not necessarily Lie algebra valued. They yield new scalars and a Lagrangian beyond Yang-Mills is obtained. Classical equations are derived and 7) (2  N equations are developed. A further step is on how such non-abelian whole symmetry is implemented at) (N SU gauge group. For this, it is studied on the algebra closure and Jacobi identities, Bianchi identities, Noether theorem, gauge fixing, BRST symmetry, conservation laws, covariance, charges algebra. As result, one notices that it is installed at) (N SU symmetry independently on the number of involved fields. Given this consistency, Yang-Mills should not more be considered as the unique Lagrangian performed from) (N SU. Introducting the BRST symmetry an invariant eff L is stablished. The BRST charge associated to the N-potential fields system is calculated and its nilpotency property obtained. Others conservations laws involving ghost scale, global charges are evalued showing that this whole symmetry extension preserve the original Yang-Mills algebra. Also the ghost number is conserved. These results imply that Yang-Mills should be understood as a pattern and not as a specific Lagrangian. Concluding, an extended Lagrangian can be constructed. It is possible to implement a non-abelian whole gauge symmetry based on a fields set { a I A  }. Its physical feature is a systemic interpretation for the physical processes. Understand complexity from whole gauge symmetry. color cmyk 0 0 0 1.