The crown group of the Neognathostomata, one of the three major clades of irregular echinoids, comprises the paraphyletic order Cassiduloida, the family Neolampadidae, and the order Clypeasteroida. Recent studies have recognized the latter two groups as sister taxa, while suggesting different relationships with other cassiduloids. Here parsimony analyses of 57 qualitative morphologic characters (having 127 states) are employed to determine relationships among all 30 living cassiduloid species and three representative clypeasteroids. The 30 trees (of 144 steps) obtained using unordered multistate characters support the branching sequence: apatopygids (Apatopygus and Porterpygus), echinolampadids (Echinolampas and Conolampas), cassidulids (Oligopodia, Eurkodia, Rhyncholampas and Cassidulus), Studeria, neolampadids and clypeasteroids. Contrary to claims in the literature, ordering multistate characters does not improve resolution, although the majority‐rule consensus of the resulting 84 trees supports the same relationships among genera. Trees found using only characters likely to be preserved in fossils differ only in the arrangement of the neolampadid taxa. Successive approximations weightings are found to be sensitive to arbitrary choices of the scaling factor and truncation. Weightings can lead to increases or decreases in the number of most parsimonious trees and the congruence among trees.