Non-regular $\mathrm{\mid }2\mathrm{\mid }$-graded geometries II: classifying geometries, and generic six-in-nine distributions

Complementing the previous paper in the series, this paper classifies $\mathrm{\mid }2\mathrm{\mid }$-graded parabolic geometries, listing their important properties: the group $G_0$, the graded tangent bundle $gr(T)$ and its algebra"ic bracket, the relevant cohomology spaces and the standard Tractor bundle $\text{mc}T$. Several of these geometries are then explored in more detail, and the paper ends with a case study that that partially solves the equivalence problem for generic six distributions on nine dimensional manifolds.