Position in a system
| system | Vitae - living organisms |
| domain | Eukaryota Whittaker & Margulis, 1978 - lifeforms with nucletic cells |
| superregnum | Unikonta |
| system | Opisthokonta Cavalier-Smith, 1987 |
| kingdom | Animalia Linnaeus, 1758 - animals |
| subregnum | Eumetazoa Butschli, 1910 |
| divisio | Bilateria Hatschek, 1888 - bilaterians |
| subdivisio | Protostomia Grobben, 1908 - protostomes |
| phylum | Brachiopoda Duméril, 1806 - lamp shells |
| subphylum | Rhynchonelliformea |
| class | Rhynchonellata |
| order | Terebratulida Waagen, 1883 |
| suborder | Terebratulidina |
| superfamily | Cryptonelloidea † |
| family | Cryptonellidae Thomson, 1926 † |
| subfamily | Cryptonellinae Thomson, 1926 † |
| genus | Petriathyris Jin & Lee, 2006 † |