| Name | Groups | #Vertices | Vertex orders | #Faces | Face orders | #Edges | Conway |
|---|---|---|---|---|---|---|---|
| pentagonal Hexecontahedron | dmccooeyCatalanchiralisohedron | 92 | 80{3}+12{5} | 60 | 60{5} | 150 | gD |
| pentagonal Icositetrahedron gyroid | dmccooeychiralCatalanisohedron | 38 | 6{4}+32{3} | 24 | 24{5} | 60 | gC |
| Snub Cube | dmccooeychiralArchimedean | 24 | 24{5} | 38 | 6{4}+32{3} | 60 | sC |
| Snub Dodecahedron | dmccooeychiralArchimedean | 60 | 60{5} | 92 | 12{5}+80{3} | 150 | sD |