Paxyodon Schumacher, 1817
Schumacher, 1816, Overs. Dansk. Vid. Selsk. Forhandl. Kjobehhaven 1816: 7. [nomen nudum]
Schumacher, 1817, Essai. Nouv. Syst.: 46, 139.
Type species: Paxyodon ponderosus Schumacher, 1817 (monotypy) = Prisodon syrmatophorus

Prisodon Schumacher, 1817
Schumacher, 1816, Overs. Dansk. Vid. Selsk. Forhandl. Kjobehhaven 1816: 7. [nomen nudum]
Schumacher, 1817, Essai. Nouv. Syst.: 46, 139.
Type species: Prisodon obliquus Schumacher, 1817 (subsequent designation) = Prisodon obliquus

Hyria Lamarck, 1819
Lamarck, 1819, Hist. Natur. Anim. sans Vert. 6: 81.
Type species: Hyria avicularis Lamarck, 1819 (subsequent designation) = Prisodon obliquus

Hyris Blainville, 1821
Blainville, 1821, Dict. Sci. Nat. 22: 395.
(error for Hyria Lamarck, 1819)

Paxiodon Blainville, 1821
Blainville, 1821, Dict. Sci. Nat. 22: 187.
(error for Paxyodon Schumacher, 1817)

Ilyiria Fleming, 1822
Fleming, 1822, Phil. Zool. 2: 506. [nomen nudum]

Paxiodonta Deshayes, 1832
‘Schumacher’ Deshayes, 1832, Enc. Méth. 3: 712.
(error for Paxyodon Schumacher, 1817)

Pachyodon Agassiz, 1846
‘Stutchb.’ Agassiz, 1846, Nomencl. Zool. Index Univ.: 270.
Woodward, 1871, Man. Moll: 434.
(error for Paxyodon Schumacher, 1817)

Triquetra Lea, 1852
Klein, 1753, Tent. Method. Ostrac., etc.: 135. [pre-linnaean]
Lea, 1852, Synopsis Fam. Naiades: 17.
Mörch, 1853, Cat. Conch. Yoldi 2: 43.
(homonym of Blainville, 1828 [Veneridae])
Type species: Prisodon obliquus Schumacher, 1817 (herein) = Prisodon obliquus

Prysodon Sabba Stefanescu, 1896
Sabba Stefanescu, 1896, Mém. Soc. Géol. France 15: 17.
(error for Prisodon Schumacher, 1817)

Hyriana Simpson, 1900
Simpson, 1900, Proc. U.S. Nat. Mus. 22: 872.
Simpson, 1914, Descr. Cat. Naiades: 1223.
(intro'd as sub-gen. of Prisodon Schumacher, 1817)
Type species: Unio ortonii Lea, 1868 (original designation) = Prisodon obliquus

Taxonomic History (since 1900)

Prisodon (s.s.) — Simpson (1900), Simpson (1914), Thiele (1934), Graf & Cummings (2007)
Prisodon (Hyriana) — Simpson (1900), Simpson (1914)
Diplodon — Simpson (1900), Simpson (1914)
Prisodon — Ihering (1910), F. Baker (1913), Haas (1916), Ortmann (1921), ..., Mansur et al. (2020), Pfeiffer et al. (2021), Graf & Cummings (2021), Breure et al. (2022)
Hyria — Haas (1916)
Physunio (s.s.) — Haas (1920), Haas (1969)
Paxyodon — Parodiz & Bonetto (1963), Haas (1969), Haas (1969), Mansur & Valer (1992), ..., Pereira et al. (2014), Santos-Neto et al. (2016), Santos-Neto et al. (2018), Mansur et al. (2020)
Physunio — Brandt (1974)
Prisodon (Paxyodon) — Graf & Cummings (2007)