  A non-abelian kink inducing asymptotically the breaking pattern $SU(5)\times
Z_2\rightarrow SU(4)\times U(1)/Z_4$ is obtained. We consider a fourth order
Higgs potential in a $1+1$ theory where the scalar field is in the adjoint
representation of $SU(5)$. The perturbative stability of the kink is also
evaluated. A Schr\"odinger-like equation for the excitations along each $SU(5)$
generator is determined, and in none of the cases negative eigenvalues
compromising the stability of solution are found. In particular, several
bounded scalar states are found, being one of them the translational zero mode
of the flat space $SU(5)\times Z_2$ kink.
