Type species: Ceriopora tubiporacea Goldfuss, 1826
This genus includes the species:
| Inversaria centralis | (Eichwald, 1865) | Cretaceous Maastrichtian | Ukraine Crimea |
| Inversaria crassipes | (Marsson, 1887) | Cretaceous | N Europe |
| Inversaria flabellula | (von Hagenow, 1846) | Cretaceous | Sweden |
| Inversaria gondwanae | Gordon & Taylor, 1999 | Paleocene | Chatham I., NZ |
| Inversaria ramosissima | (Eichwald, 1865) | Cretaceous | Ukraine |
| Inversaria trigonopora | von Hagenow, 1846 | Cretaceous | Netherlands |
| Inversaria tuber | Voigt & Williams, 1973 | Cretaceous | Netherlands |
| Inversaria tubiporacea | (Goldfuss, 1826) | Cretaceous | NW Europe |
| Inversaria verrucosa | Voigt, 1962 | Cretaceous | Russia |
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