  A catalogue of simplicial hyperplane arrangements was first given by
Gr\"unbaum in 1971. These arrangements naturally generalize finite Coxeter
arrangements and the weak order through the poset of regions. For simplicial
arrangements, posets of regions are in fact lattices. We update Gr\"unbaum's
catalogue, providing normals and invariants for all known sporadic simplicial
arrangements with up to 37 lines. The weak order is known to be congruence
normal, and congruence normality for simplicial arrangements can be determined
using polyhedral cones called shards.
  In this article, we provide additional structure to the catalogue of
simplicial hyperplane arrangements by determining which arrangements
always/sometimes/never lead to congruence normal lattices of regions. To this
end, we use oriented matroids to recast shards as covectors to determine
congruence normality of large hyperplane arrangements. As a consequence of this
approach we derive in particular which lattices of regions of sporadic
simplicial arrangements of rank 3 are always congruence normal. We also show
that lattices of regions from finite Weyl groupoids of any rank are congruence
normal.
