1. Species Tetrarhynchus annandalei Shipley & Hornell, 1912 accepted as Hornelliella annandalei (Shipley & Hornell, 1912) Yamaguti, 1954 (unaccepted > superseded combination)
2. Species Tetrarhynchus anteroporus Hart, 1936 accepted as Gilquinia squali (Fabricius, 1794) Dollfus, 1930
3. Species Tetrarhynchus appendiculatus Rudolphi, 1809 accepted as Tentacularia coryphaenae Bosc, 1802 (unaccepted > junior subjective synonym)
4. Species Tetrarhynchus attenuatus Rudolphi, 1819 accepted as Hepatoxylon trichiuri (Holten, 1802) Dollfus, 1942 (synonym)
5. Species Tetrarhynchus bicolor (Bartels in von Nordmann, 1832) accepted as Tentacularia bicolor (Bartels in von Nordmann, 1832) accepted as Tentacularia coryphaenae Bosc, 1802 (unaccepted > superseded combination)
6. Species Tetrarhynchus bisulcatum (Linton, 1889) Linton, 1897 accepted as Nybelinia bisulcata (Linton, 1889) Dollfus, 1929 accepted as Heteronybelinia estigmena (Dollfus, 1960) Palm, 1999 (superseded combination)
7. Species Tetrarhynchus brevibothria MacCallum, 1921 accepted as Pseudogilquinia brevibothria (MacCallum, 1917) accepted as Pseudogilquinia microbothria (MacCallum, 1917) Palm, 2004 (unaccepted > superseded combination)
8. Species Tetrarhynchus carcharidis Shipley & Hornell, 1906 accepted as Otobothrium carcharidis (Shipley & Hornell, 1906) Pintner, 1913 (unaccepted > superseded combination)
9. Species Tetrarhynchus cysticus Mayer, 1842 accepted as Otobothrium cysticum (Mayer, 1842) (Superseded combination)
10. Species Tetrarhynchus discophorus Rudolphi, 1819 accepted as Hepatoxylon trichiuri (Holten, 1802) Dollfus, 1942 (unaccepted > junior subjective synonym)
11. Species Tetrarhynchus equidentatus Shipley & Hornell, 1906 accepted as Nybelinia aequidentata (Shipley & Hornell, 1906) Dollfus, 1930 (unaccepted > superseded combination)
12. Species Tetrarhynchus erinaceus van Beneden, 1858 accepted as Grillotia (Grillotia) erinaceus (van Beneden, 1858) Guiart, 1927 (unaccepted > superseded combination)
13. Species Tetrarhynchus gangeticus Shipley & Hornell, 1906 accepted as Poecilancistrium gangeticum (Shipley & Hornell, 1906) accepted as Poecilancistrium caryophyllum (Diesing, 1850) Dollfus, 1929 (unaccepted > superseded combination)
14. Species Tetrarhynchus heptanchi Vaullegeard, 1899 accepted as Grillotia heptanchi (Vaullegeard, 1899) Dollfus, 1942 (unaccepted > superseded combination)
15. Species Tetrarhynchus leucomelanus Shipley & Hornell, 1906 accepted as Eutetrarhynchus leucomelanus (Shipley & Hornell, 1906) Pintner, 1913 (unaccepted > superseded combination)
16. Species Tetrarhynchus lingualis Cuvier, 1817 accepted as Nybelinia lingualis (Cuvier, 1817) Dollfus, 1929 (unaccepted > superseded combination)
17. Species Tetrarhynchus macrobothrius Rudolphi, 1819 accepted as Tentacularia coryphaenae Bosc, 1802 (unaccepted > junior subjective synonym)
18. Species Tetrarhynchus macrocephalus Shipley & Hornell, 1906 accepted as Halysiorhynchus macrocephalus (Shipley & Hornell, 1906) Pintner, 1913 (unaccepted > superseded combination)
19. Species Tetrarhynchus macroporus Shipley & Hornell, 1906 accepted as Trygonicola macropora (Shipley & Hornell, 1906) Beveridge & Campbell, 1998 (unaccepted > superseded combination)
20. Species Tetrarhynchus matheri Southwell, 1929 accepted as Grillotia matheri (Southwell, 1929) accepted as Pseudolacistorhynchus matheri (Southwell, 1929) Palm, 2004 (Superseded combination)
21. Species Tetrarhynchus megabothrius Rudolphi, 1819 accepted as Tentacularia coryphaenae Bosc, 1802 (unaccepted > junior subjective synonym)
22. Species Tetrarhynchus megacephalus Rudolphi, 1819 accepted as Hepatoxylon megacephalum (Rudolphi, 1819) Dollfus, 1942 (unaccepted > superseded combination)
23. Species Tetrarhynchus narinari MacCallum, 1917 accepted as Nybelinia narinari (MacCallum, 1917) accepted as Kotorella pronosoma (Stossich, 1901) Euzet & Radujkovic, 1989 (unaccepted > superseded combination)
24. Species Tetrarhynchus palliatus Linton, 1924 accepted as Heteronybelinia palliata (Linton, 1924) Palm & Overstreet, 2000 (unaccepted > superseded combination)
25. Species Tetrarhynchus papillifer Poyarkoff, 1909 accepted as Prochristianella papillifer (Poyarkoff, 1909) Dollfus, 1957 (unaccepted > superseded combination)
26. Species Tetrarhynchus papillosus Rudolphi, 1809 accepted as Tentacularia coryphaenae Bosc, 1802 (unaccepted > junior subjective synonym)
27. Species Tetrarhynchus pearsoni Southwell, 1929 accepted as Pterobothrium pearsoni (Southwell, 1929) Beveridge & Campbell, 1989 (unaccepted > superseded combination)
28. Species Tetrarhynchus perideraeus Shipley & Hornell, 1906 accepted as Heteronybelinia perideraeus (Shipley & Hornell, 1906) Palm, 1999 (unaccepted > superseded combination)
29. Species Tetrarhynchus platycephalus Shipley & Hornell, 1906 accepted as Pterobothrium platycephalum (Shipley & Hornell, 1906) Dollfus, 1930 (unaccepted > superseded combination)
30. Species Tetrarhynchus robustum Linton, 1890 accepted as Heteronybelinia robusta (Linton, 1890) Palm, 1999 (unaccepted > superseded combination)
31. Species Tetrarhynchus shipleyi Southwell, 1929 accepted as Grillotia shipleyi (Southwell, 1929) accepted as Pseudolacistorhynchus shipleyi (Southwell, 1929) Palm, 2004 (Superseded combination)
32. Species Tetrarhynchus smaridum Pintner, 1893 accepted as Grillotia (Christianella) minuta (Van Beneden, 1849) Campbell & Beveridge, 1994 (unaccepted > junior subjective synonym)
33. Species Tetrarhynchus smarisgora Wagener, 1854 accepted as Grillotia smarisgora (Wagener, 1854) (Superseded combination)
34. Species Tetrarhynchus smarismaenae Wagener, 1854 accepted as Grillotia (Christianella) minuta (Van Beneden, 1849) Campbell & Beveridge, 1994 (unaccepted > junior subjective synonym)
35. Species Tetrarhynchus spinulifera Southwell, 1911 accepted as Phyllobothroides spinulifera (Linton, 1890) Southwell, 1912 of Schmidt, 1986 (superseded combination)
36. Species Tetrarhynchus striatus Wagener, 1854 accepted as Tetrarhynchobothrium striatum (Wagener, 1854) (unaccepted > superseded combination)
37. Species Tetrarhynchus tenuis van Beneden, 1858 accepted as Lacistorhynchus tenuis (Van Beneden, 1858) Pintner, 1913 (unaccepted > superseded combination)
38. Species Tetrarhynchus unionifactor Shipley & Hornell, 1904 accepted as Tetrarhynchobothrium unionifactor (Shipley & Hornell, 1904) Beveridge & Campbell, 1988 (unaccepted > superseded combination)
39. Species Tetrarhynchus viridis Wagener, 1854 accepted as Sphyriocephalus viridis (Wagener, 1854) Pintner, 1913 (unaccepted > superseded combination)
40. Species Tetrarhynchus elongatus (Wagener) (uncertain > taxon inquirendum)
41. Species Tetrarhynchus tenuicollis Rudolphi, 1819 (uncertain > taxon inquirendum)

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