Nearest-neighbor interacting S= 1/2 spins on the ideal Kagom\'{e} lattice are predicted to
form a variety of novel quantum entangled states, including quantum spin-liquid (SL) and
valence bond solid (VBS) phases. In real materials, the presence of additional perturbative
spin interactions may further expand the variety of entangled states, which recent theoretical
analyses show are identifiable through the spontaneous loss of particular discrete point
group symmetries. Here we comprehensively resolve the ground state point group …