We determine exactly the fixed point Hamiltonian of the one-dimensional mul
tichannel Kondo-Heisenberg lattice model for any number of channels N great
er than or equal to 2. It is found to belong to a new class of non-Fermi-li
quid fixed points, different from the usual Luttinger or Luther-Emery liqui
ds. The fixed point describes an anomalous singlet with nontrivial internal
dynamics manifesting itself in unconventional order. We compute the correl
ation functions of the various conventional and composite order parameters
of the system, and And that for N less than or equal to 4 the composite ord
er parameters induce the dominant instabilities.