We have observed antiphase dynamical states in an {ital N}-mode laser with an intracavity doubling crystal. We have experimentally observed such states for {ital N}=3, while numerical simulations indicate their persistance up to (at least) {ital N}=5. Analogous dynamical states have been predicted for Josephson-junction arrays; in both cases, the multiplicity of coexisting attractors can be traced to the global nature of the coupling between degrees of freedom.