Classification of Smith 2015

Cl. Echinoidea Leske 1778 [sea urchin]
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Subcl. Cidaroidea Claus 1880
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Or. Cidaroida Claus 1880 [pencil urchin]
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Superfm. Cidaridea Gray 1825
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G. †Plegiocidaris Pomel 1883
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Plegiocidaris saemanni Cotteau 1857
Invalid names: Abelleicidaris Vadet 1991 [synonym]
Fm. †Diplocidaridae Gregory 1900
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Invalid names: Diplocidaris desori Wright 1857 [nomen dubium], Diplocidaris wrightii Desor 1855 [nomen dubium]
Fm. †Heterocidaridae Mortensen 1934
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Heterocidaris wickensis Wright 1861
Invalid names: Heteroechinus Quenstedt 1874 [objective synonym]
Fm. †Miocidaridae Durham and Melville 1957
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G. †Couvelardicidaris Vadet 1991
G. †Panniericidaris Vadet 1991
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Panniericidaris moraldina Cotteau 1849
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Invalid names: Cidaris martini Cotteau 1860 [synonym]
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Procidaris edwardsii Wright 1854
Procidaris lobatum Wright 1861
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Invalid names: Cidaris crossei Cotteau 1875 [synonym], Miocidaris tenuispina Mortensen 1934 [synonym]
Fm. †Paracidaridae Smith 2015
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Invalid names: Cidaris yeovilensis Wright 1858 [nomen dubium]
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Paracidaris florigemma Phillips 1829
Paracidaris wrightii Desor 1855
Invalid names: Chesniericidaris Vadet 2004 [synonym]
Fm. †Polycidaridae Vadet 1988
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Anisocidaris bajociensis Cotteau 1875
Anisocidaris bathonica Cotteau 1875
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Invalid names: Cidaris trouvillensis Cotteau 1876 [synonym]
Anisocidaris bouchardii Wright 1851
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Invalid names: Cidaris caumonti Cotteau 1875 [synonym]
Anisocidaris smithii Wright 1857
Anisocidaris zschokkei Cotteau 1875
Invalid names: Nenoticidaris Vadet 1988 [synonym]
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Invalid names: Cidaris moorei Wright 1858 [synonym]
Polycidaris legayi Sauvage and Rigaux 1873
Polycidaris spinulosa Roemer 1836
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Invalid names: Cidaris confluens Forbes 1856 [synonym]
Invalid names: Anisocidaridae Vadet 1999 [synonym], Nenoticidaridae Vadet 1988 [synonym]
Fm. †Rhabdocidaridae Lambert 1900
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G. †Laurenticidaris Vadet 1991
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Laurenticidaris copeoides Agassiz 1846
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Invalid names: Rhabdocidaris thurmanni regens Whidborne 1883 [synonym]
G. †Rhabdocidaris Desor 1855
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Rhabdocidaris fowleri Wright 1851
Rhabdocidaris horrida Agassiz 1840
Invalid names: Callaudicidaris Vadet 1991 [synonym], Dickesicidaris Vadet 1988 [synonym]
Subcl. Euechinoidea Bronn 1860
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Superor. Acroechinoidea Smith 1981
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Or. Aspidodiadematoida Kroh and Smith 2010
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Fm. Aspidodiadematidae Duncan 1889
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G. †Culozoma Vadet and Slowik 2001
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Culozoma baroini Vadet and Slowik 2001
G. †Gymnotiara Pomel 1883
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Gymnotiara dumortieri Cotteau 1881
G. Plesiodiadema Pomel 1883
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Plesiodiadema jessoni Gregory 1896
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Invalid names: Eosalenia miranda Lambert 1905 [synonym]
Invalid names: Eosalenia [synonym]
Or. Pedinoida Mortensen 1939
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Fm. Pedinidae Pomel 1883
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Diademopsis bonei Wright 1855
Diademopsis davidsoni Wright 1855
Diademopsis microgramma Wright 1858
Diademopsis serialis Agassiz 1838
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Invalid names: Hemipedina bechei Wright 1855 [synonym], Hemipedina bowerbankii Wright 1855 [synonym], Hemipedina tomesii Wright 1861 [synonym]
Diademopsis tetragramma Wright 1855
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Invalid names: Hemipedina waterhousei Wright 1855 [synonym]
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Hemipedina beaugrandi Rigaux 1882
Hemipedina etheridgii Wright 1854
Hemipedina ferryi Cotteau 1860
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Invalid names: Hemipedina chalmasi Cotteau 1883 [synonym], Hemipedina perforata pisolitica Paris 1908 [synonym]
Hemipedina jardinii Wright 1855
Hemipedina perforata Wright 1851
Hemipedina tuberculosa Wright 1855
Hemipedina woodwardii Wright 1855
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Invalid names: Hemipedina bathonica Cotteau 1882 [synonym], Hemipedina icaunensis Cotteau 1883 [synonym]
G. †Pedina
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Pedina granulosa Agassiz 1847
Pedina salteri de Loriol 1871
Invalid names: Hectopedina Thiery 1928 [synonym], Megapedina Lambert and Thiery 1910 [synonym]
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Phymopedina marchamensis Wright 1855
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Invalid names: Hemipedina bouchardii Wright 1858 [synonym]
Invalid names: Hemipedina cunningtoni Wright 1855 [nomen dubium], Hemipedina morrisii Wright 1855 [nomen dubium]
Or. Echinothurioida Claus 1880
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Fm. †Pelanechinidae Groom 1887
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Pelanechinus corallinus Wright 1858
Invalid names: Pelanodiadema [synonym]
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Pseudopedina bakeri Wright 1854
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Invalid names: Soudetaster martinezae Vadet et al. 2011 [synonym]
Pseudopedina divionensis Michelin 1854
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Invalid names: Echinopsis smithii Forbes 1856 [synonym], Pseudopedina nodoti Cotteau 1858 [synonym]
Invalid names: Soudetaster Vadet et al. 2011 [synonym]