Type species: Coscinium plumosum Prout, 1860
This genus includes the species:
| Glyptopora caliculosa | Ulrich, 1890 | Carboniferous Mississippian Visean | USA Illinois |
| Glyptopora crassa | Easton, 1943 | Carboniferous Mississippian Serpukhovian | USA Arkansas |
| Glyptopora crassistoma | Mather, 1915 | Carboniferous Pennsylvanian Bashkirian | USA Arkansas, Oklahoma |
| Glyptopora elegans | (Prout, 1860) | Carboniferous Mississippian Visean | USA Illinois, Missouri |
| Glyptopora incrustans | Coryell in Morgan, 1924 | Carboniferous Pennsylvanian Bashkirian | USA Oklahoma |
| Glyptopora kasakhstanica | Nekhoroshev, 1953 | Carboniferous Mississippian Visean-Serpukhovian | Kazakhstan |
| Glyptopora keyserlingi | (Prout, 1858) | Carboniferous Mississippian Visean | USA Illinois |
| Glyptopora lata | Ulrich, 1890 | Carboniferous Mississippian Visean | USA Illinois |
| Glyptopora michelinia | (Prout, 1860) | Carboniferous Mississippian Visean | USA Illinois, Missouri, Virginia |
| Glyptopora plumosa | (Prout, 1860) | Carboniferous Mississippian Visean | USA Illinois, Missouri |
| Glyptopora punctifera | Ulrich, 1890 | Carboniferous Mississippian Visean-Serpukhovian | USA Illinois, Kentucky |
| Glyptopora pustulifera | McFarlan, 1942 | Carboniferous Mississippian Visean | USA Illinois |
| Glyptopora stonewallensis | Coryell in Morgan, 1924 | Carboniferous Pennsylvanian Kasimovian | USA Oklahoma |
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