agassizii, Glossocardia agassizii (Dall, 1886)
amarus, Fluviolanatus amarus Laseron, 1956 - syn of: Fluviolanatus subtortus (Dunker, 1857)
angulata, Trapezium angulata Lamarck, 1819 - syn of: Trapezium bicarinatum (Schumacher, 1817)
angulata, Trapezium angulata Sowerby, 1839 - syn of: Trapezium oblongum (Linnaeus, 1758)
auberti, Trapezium auberti Abrard, 1942 † (FOSSIL)
bicarinatum, Trapezium bicarinatum (Schumacher, 1817)
brocchii, Straelenotrapezium brocchii (Defrance, 1828) † (FOSSIL)
bryani, Coralliophaga bryani Clark, 1895 † (FOSSIL)
californica, Trapezium californica Conrad, 1837 - syn of: Trapezium oblongum (Linnaeus, 1758)
californica, Trapezium californica Conrad, 1837 - syn of: Trapezium oblongum (Linnaeus, 1758)
campbonensis, Coralliophaga campbonensis (Dufour, 1881) † (FOSSIL)
carditoidea, Coralliophaga carditoidea Blainville, 1824 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
carinata, Glossocardia carinata (Deshayes, 1829) † (FOSSIL)
carinata, Trapezium carinata Bruguière, 1792 - syn of: Trapezium oblongum (Linnaeus, 1758)
coralliophaga, Coralliophaga coralliophaga (Gmelin, 1791)
corrugata, Trapezium corrugata Mighels, 1844 - syn of: Trapezium bicarinatum (Schumacher, 1817)
cyprinoides, Coralliophaga cyprinoides Wood, 1840 † (FOSSIL)
dactylus, Coralliophaga dactylus Bruguière, 1792 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
daviesi, Trapezium daviesi Cox, 1930 † (FOSSIL)
decussata, Coralliophaga decussata (Reeve, 1843)
deshayesi, Coralliophaga deshayesi (Mayer, 1861) † (FOSSIL)
diversicostulatum, Trapezium diversicostulatum Imlay, 1940
dolosa, Trapezium dolosa Deshayes, 1863 - syn of: Trapezium bicarinatum (Schumacher, 1817)
donneti, Trapezium donneti (Benoist, 1911) † (FOSSIL)
duperreyi, Trapezium duperreyi Deshayes, 1839 - syn of: Trapezium oblongum (Linnaeus, 1758)
elegans, Coralliophaga elegans Deshayes, 1824 † (FOSSIL)
eocaenica, Glossocardia eocaenica Bayan, 1873 † (FOSSIL)
esculpturata, Neotrapezium esculpturata Preston, 1915 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
fragilis, Coralliophaga fragilis Costa, 1843 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
garandi, Langvophorus garandi (Mansuy, 1912) † (FOSSIL)
gilvum, Trapezium gilvum (Von Martens, 1872)
gilvum sowerbyii, Trapezium gilvum sowerbyii Hidalgo, 1903
grignonense, Trapezium grignonense Deshayes, 1824 † (FOSSIL)
guerinii, Coralliophaga guerinii Payraudeau, 1826 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
guinaica, Trapezium guinaica Lamarck, 1819 - syn of: Trapezium oblongum (Linnaeus, 1758)
halioticola, Trapezium halioticola Dall, 1871 - syn of: Milneria minima (Dall, 1871)
halioticola, Trapezium halioticola Dall, 1871 - syn of: Milneria minima (Dall, 1871)
hornbeckiana, Coralliophaga hornbeckiana D'Orbigny, 1853 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
hyalina, Coralliophaga hyalina Hayami & Kase, 1993 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
incarnata, Coralliophaga incarnata Reeve, 1843 - syn of: Coralliophaga decussata (Reeve, 1843)
incrustans, Coralliophaga incrustans Rousseau, 1854 - syn of: Coralliophaga decussata (Reeve, 1843)
insepultum, Trapezium insepultum White, 1887 † (FOSSIL)
intermedia, Trapezium intermedia Moore † (FOSSIL)
japonicum, Trapezium japonicum Pilsbry, 1905 - syn of: Neotrapezium liratum (Reeve, 1843)
japonicum, Neotrapezium japonicum Pilsbry, 1905 - syn of: Neotrapezium liratum (Reeve, 1843)
japonicum delicatum, Neotrapezium japonicum delicatum Pilsbry, 1905 - syn of: Neotrapezium liratum (Reeve, 1843)
japonicum delicatum, Trapezium japonicum delicatum Pilsbry, 1905 - syn of: Neotrapezium liratum (Reeve, 1843)
johnsoni, Coralliophaga johnsoni Watson, 1897 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
korobkovi, Miocardiopsis korobkovi Meszaros, 1957 † (FOSSIL)
laminata, Coralliophaga laminata Reeve, 1843 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
liratum, Neotrapezium liratum (Reeve, 1843)
liratum, Trapezium liratum Reeve, 1843 - syn of: Neotrapezium liratum (Reeve, 1843)
lithophagella, Coralliophaga lithophagella (Lamarck, 1819)
lithophagella major, Coralliophaga lithophagella major Pallary, 1900 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
loustaui, Glossocardia loustaui Cossmann, 1886 † (FOSSIL)
lycetti, Trapezium lycetti Cossmann, 1907
modesta, Trapezium modesta Deshayes, 1863 - syn of: Trapezium oblongum (Linnaeus, 1758)
nipponicum, Neotrapezium nipponicum Yokoyama, 1922 - syn of: Neotrapezium liratum (Reeve, 1843)
nipponicum, Trapezium nipponicum Yokoyama, 1922 - syn of: Neotrapezium liratum (Reeve, 1843)
nodulosa, Trapezium nodulosa Mighels, 1844 - syn of: Cardites floridanus (Conrad, 1838)
noemi, Trapezium noemi de Folin, 1867 - syn of: Petricola linguafelis (Carpenter, 1857)
obesa, Glossocardia obesa (Reeve, 1843)
obesa, Trapezium obesa Reeve, 1843 - syn of: Glossocardia obesa (Reeve, 1843)
oblonga, Cypricardia oblonga Sowerby, 1823 - syn of: Trapezium gilvum (Von Martens, 1872)
oblongum, Trapezium oblongum (Linnaeus, 1758)
parisiensis, Trapezium parisiensis Deshayes, 1858 † (FOSSIL)
pellucida, Trapezium pellucida Moore † (FOSSIL)
penjica, Coralliophaga penjica Sinelnikova, 1997 † (FOSSIL)
perfectum, Trapezium perfectum Von Mühlfeld, 1811 - syn of: Trapezium oblongum (Linnaeus, 1758)
pseudocarinata, Miocardiopsis pseudocarinata Berezovsky, 2010 † (FOSSIL)
pulchra, Coralliophaga pulchra Deshayes, 1858 † (FOSSIL)
rectangulare, Trapezium rectangulare Woods † (FOSSIL)
renieri, Coralliophaga renieri Nardo, 1847 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
romani, Coralliophaga romani Calcara, 1845 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
rosea, Coralliophaga rosea Gould, 1850 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
rostrata, Cypricardia rostrata Lamarck, 1819 - syn of: Trapezium bicarinatum (Schumacher, 1817)
rugulosa, Trapezium rugulosa Dana, 1847 † - syn of: Myomedia carinata (Morris, 1845) † (FOSSIL)
serrata, Trapezium serrata Reeve, 1843 - syn of: Irus crenatus (Lamarck, 1818)
setosa, Coralliophaga setosa Dunker, 1864 - syn of: Coralliophaga lithophagella (Lamarck, 1819)
sinuosa, Neotrapezium sinuosa Potiez & Michaud, 1844 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
solenoides, Neotrapezium solenoides Reeve, 1843 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
solenoides, Trapezium solenoides Reeve, 1843 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
sowerbyii, Trapezium gilvum sowerbyii Hidalgo
spathulata, Coralliophaga spathulata Souverbie & Montrouzier, 1862 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
stoliczkana, Glossocardia stoliczkana Prashad, 1932
striolata, Coralliophaga striolata Adams, 1871 - syn of: Coralliophaga coralliophaga (Gmelin, 1791)
sublaevigata, Trapezium sublaevigata Lamarck, 1819 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
sublaevigatum, Neotrapezium sublaevigatum (Lamarck, 1819)
sublaevigatum, Trapezium sublaevigatum Lamarck, 1819 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
subtortus, Fluviolanatus subtortus (Dunker, 1857)
subtriangulum, Trapezium subtriangulum Imlay, 1940 † (FOSSIL)
tenuis, Coralliophaga tenuis Rousseau, 1854 - syn of: Coralliophaga decussata (Reeve, 1843)
transylvanica, Coralliophaga transylvanica (Hoernes, 1870) † (FOSSIL)
tumida, Trapezium tumida Röding, 1798 - syn of: Trapezium oblongum (Linnaeus, 1758)
vellicata, Trapezium vellicata Reeve, 1843 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
vellicata, Neotrapezium vellicata Reeve, 1843 - syn of: Neotrapezium sublaevigatum (Lamarck, 1819)
veneris, Trapezium veneris Dana, 1849 † - syn of: Stutchburia veneris (Dana, 1849) † (FOSSIL)
ventricosum, Neotrapezium ventricosum Yokoyama, 1922 - syn of: Neotrapezium liratum (Reeve, 1843)
ventricosum, Trapezium ventricosum Yokoyama, 1922 - syn of: Neotrapezium liratum (Reeve, 1843)
vertumnalium, Trapezium vertumnalium Melvill, 1918 - syn of: Irus vertumnalium (Melvill, 1918)
vivesi, Trapezium vivesi Maestrati & Lozouet, 1995 † (FOSSIL)
winwoodii, Trapezium winwoodii Moore † (FOSSIL)
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