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We extend our previous work [J. Chem. Phys, \textbf{136}, 124121], whichdescribed a spin-adapted (SU(2) symmetry) density matrix renormalization group(DMRG) algorithm, to additionally utilize general non-Abelian point groupsymmetries. A key strength of the present formulation is that the requisitetensor operators are not hard-coded for each symmetry group, but are insteadgenerated on the fly using the appropriate Clebsch-Gordan coefficients. Thisallows our single implementation to easily enable (or disable) any non-Abelianpoint group symmetry (including SU(2) spin symmetry). We use our implementationto compute the ground state potential energy curve of the C$_2$ dimer in thecc-pVQZ basis set (with a frozen-core), corresponding to a Hilbert spacedimension of 10$^{12}$ many-body states. While our calculated energy lieswithin the 0.3 mE$_h$ error bound of previous initiator full configurationinteraction quantum Monte Carlo (i-FCIQMC) and correlation energy extrapolationby intrinsic scaling (CEEIS) calculations, our estimated residual error is only0.01 mE$_h$, much more accurate than these previous estimates. Further, due tothe additional efficiency afforded by the algorithm, we compute the potentialenergy curves of twelve states: the three lowest levels for each of theirreducible representations $^1\Sigma^+_g$, $^1\Sigma^+_u$, $^1\Sigma^-_g$ and$^1\Sigma^-_u$, to an estimated accuracy within 0.1 mE$_h$ of the exact resultin this basis.

Near exact excited states of the carbon dimer in a quadruple-zeta basis using a general non-Abelian density matrix renormalization group algorithm