  This is the third in a series of three papers on the systematic analysis of
rank 1 four dimensional $\mathcal{N}=2$ SCFTs. In the first two papers we
developed and carried out a strategy for classifying and constructing physical
planar rank-1 Coulomb branch geometries of $\mathcal{N}=2$ SCFTs. Here we
describe general features of the Higgs and mixed branch geometries of the
moduli space of these SCFTs, and use this, along with their Coulomb branch
geometry, to compute their conformal and flavor central charges. We conclude
with a summary of the state of the art for rank-1 $\mathcal{N}=2$ SCFTs.
