We augment the ‘quasisisymmetric stellarator repository’ (QUASR) to include vacuum field stellarators with quasihelical symmetry using a globalized optimization workflow. The database now has over 300 000 quasisaxisymmetry and quasihelically symmetric devices along with coil sets, optimized for a variety of aspect ratios, rotational transforms and discrete rotational symmetries. This paper outlines a couple of ways to explore and characterize the data set. We plot devices on a near-axis quasisymmetry (QS) landscape, revealing close correspondence to this predicted landscape. We also use principal component analysis (PCA) to reduce the dimensionality of the data so that it can easily be visualized in two or three dimensions. The PCA also gives a mechanism to compare the new devices here with previously published ones in the literature. We are able to characterize the structure of the data, observe clusters and visualize the progression of devices in these clusters. The topology of the data are governed by the interplay of the design constraints and valleys of the QS objective. These techniques reveal that the data has structure, and that typically one, two or three principal components are sufficient to characterize it. The latest version of QUASR is archived at https://zenodo.org/doi/10.5281/zenodo.10050655 and can be explored online at quasr.flatironinstitute.org.