- †P. anglicus
Agassiz, 1849
- †P. arcuatus
Salter, 1859
- †P. barrandei
Semper, 1898
- †P. bolivianus
Kjellesvig-Waering, 1964
- †P. carmani
Kjellesvig-Waering, 1961
- †P. cobbi
Hall, 1859
- †P. denticulatus
Kjellesvig-Waering, 1961
- †P. floridanus
Kjellesvig-Waering, 1950
- †P. gaspesiensis
Russell, 1953
- †?P. grandidentatus
Kjellesvig-Waering, 1961
- †?P. impacatus
Kjellesvig-Waering, 1964
- †P. kopaninensis
Barrande, 1872
- †P. lanarkensis
Kjellesvig-Waering, 1964
- †P. lightbodyi
Kjellesvig-Waering, 1961
- †P. ludensis
Salter, 1859
- †P. marylandicus
Kjellesvig-Waering, 1964
- †P. monroensis
Sarle, 1902
- †?P. australis
McCoy, 1899
- †?P. formosus
(Dawson, 1861)
- †P. nobilis
Barrande, 1872
- †P. siemiradzkii
Strand, 1926
- †P. taurinus
Salter, 1868
- †?P. vernonensis
Ruedemann, 1921
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