Using the plasmon hybridization method, we investigate the plasmonic properties of nanoparticles and structures of reduced symmetry. We derive analytical expressions for prolate spheroidal particles including core-shell structures. We also explore the properties of the non-concentric spherical nanoshell geometry present in nanoeggs. Finally, we investigate the plasmonic properties of small nanoparticle aggregates such as trimers and quadrumers and show that group theory can be used to analyze their plasmonic structure.