  Most of the analysis of composite Higgs have focussed on the Minimal
Composite Higgs Model, based on the coset
SO(5)$\times$U(1)$_X$/SO(4)$\times$U(1)$_X$. We consider a model based on the
coset of simple groups SO(7)/SO(6), with SO(4)$\times$U(1)$_X$ embedded into
SO(6). This extension of the minimal model leads to a new complex pNGB that has
hypercharge and is a singlet of SU(2)$_L$, with properties mostly determined by
the pattern of symmetry breaking and a mass of order TeV. Composite electroweak
unification also leads to new bosonic and fermion resonances with exotic
charges, not present in the minimal model. The lightest of these resonances is
stable, and in some cases could provide candidates for dark matter. A new rich
phenomenology is expected at LHC.
