Отряд Теребратулиды Order Terebratulida Waagen, 1883. Lower Devonian–Holocene.
В среднем палеозое три надсемейства в двух подотрядах.
Superorder Terebratulidina Waagen, 1883. Lower Devonian–Upper Permian.
Superfamily Stringocephaloidea King, 1850. Lower Devonian–Upper Permian.
Superorder Terebratellidina Muir-Wood, 1955. Lower Devonian–Holocene.
Superfamily Dielasmatoidea Schuchert, 1913. Lower Devonian–Lower Jurassic.
Superfamily Cryptonelloidea Thomson, 1926. Lower Devonian–Lower Triassic.

Также надсемейство без точного отряда

Superfamily Plicanoplitoidea. upper Silurian–Middle Devonian.

Отряд Спирифериниды Order Spiriferinida Ivanova, 1972. Lower Devonian–Lower Jurassic.
В среднем палеозое три надсемейства в одном подотряде.
Superorder Cyrtinidina Carter & Johnson, 1994. Lower Devonian–Lower Jurassic.
Superfamily Cyrtinoidea Frederiks, 1911. Lower Devonian–Lower Carboniferous.
Superfamily Pennospiriferinoidea Dagys, 1972. Upper Devonian–Lower Jurassic.
Superfamily Syringothyridoidea Frederiks, 1926. Upper Devonian–Lower Permian.

Отряд Спирифериды Order Spiriferida Waagen, 1883. Upper Ordovician–Upper Permian.
В среднем палеозое одиннадцать надсемейств в четырех подотрядах.
Superorder Spiriferidina Waagen, 1883. Upper Ordovician–Upper Permian.
Superfamily Cyrtioidea Frederiks, 1924. Upper Ordovician–Lower Devonian.
Superfamily Adolfioidea Sartenaer, 1966. upper Silurian–Upper Devonian.
Superfamily Theodossioidea Ivanova, 1959. Lower Devonian–Lower Carboniferous, ?Upper Carboniferous.
Superfamily Cyrtospiriferoidea Termier & Termier, 1949. Lower Devonian–Upper Devonian.
Superfamily Ambocoelioidea George, 1931. upper Silurian–Upper Permian.
Superfamily Martinioidea Waagen, 1883. upper Silurian–Upper Permian.
Superfamily Spiriferoidea King, 1846. Upper Devonian–Upper Permian.
Superfamily Brachythyridoidea Frederiks, 1924. Upper Devonian–Upper Permian.
Superfamily Paeckelmanelloidea Ivanova, 1972. Upper Devonian–Upper Permian.
Superorder Delthyridina Ivanova, 1972. lower Silurian–Upper Permian.
Superfamily Delthyridoidea Phillips, 1841. lower Silurian–Middle Devonian.
Superfamily Reticularioidea Waagen, 1883. lower Silurian–Upper Permian.

Отряд Атиридиды Order Athyridida Boucot, Johnson, & Staton, 1964. Upper Ordovician–Lower Jurassic.
В среднем палеозое семь надсемейств в двух подотрядах.
Superorder Athyrididina Boucot, Johnson, & Staton, 1964. Upper Ordovician–Upper Triassic, ?Upper Jurassic.
Superfamily Meristelloidea Waagen, 1883. Upper Ordovician–Lower Carboniferous.
Superfamily Athyridoidea Davidson, 1881. ?Upper Ordovician, lower Silurian–Upper Triassic; ?Upper Jurassic.
Superfamily Nucleospiroidea Davidson, 1881. ?Upper Ordovician, lower Silurian–Lower Permian.
Superfamily Retzielloidea Rzhonsnitskaya, 1974. lower Silurian–Lower Devonian.
Superorder Retziidina Boucot, Johnson, & Staton, 1964. lower Silurian–Upper Triassic.
Superfamily Retzioidea Waagen, 1883. lower Silurian–Upper Triassic.
Superfamily Rhynchospirinoidea Schuchert, 1929. lower Silurian–Middle Devonian.
Superfamily Mongolospiroidea Alekseeva, 1981. Lower Devonian.

Отряд Атрипиды Order Atrypida Rzhonsnitskaia, 1960. Lower Ordovician–Upper Devonian.
В среднем палеозое шесть надсемейств в четырех подотрядах.
Superorder Anazygidina Copper, 1996. Lower Ordovician–upper Silurian.
Superfamily Anazygoidea Davidson, 1883. Lower Ordovician–upper Silurian.
Superorder Atrypidina Moore, 1952. Upper Ordovician–Upper Devonian.
Superfamily Atrypoidea Moore, 1952. Upper Ordovician–Upper Devonian.
Superfamily Punctatrypoidea Punctatrypoidea. lower Silurian–Lower Devonian.
Superorder Lissatrypidina Copper, 1996. ?Lower Ordovician, Upper Ordovician–Upper Devonian.
Superfamily Lissatrypoidea Twenhofel, 1914. ?Lower Ordovician, Upper Ordovician–Upper Devonian.
Superorder Davidsoniidina Copper, 1996. upper Silurian–Middle Devonian.
Superfamily Davidsonioidea King, 1850. upper Silurian–Middle Devonian.
Superfamily Palaferelloidea Spriestersbach, 1942. upper Silurian–Middle Devonian.

Отряд Ринхонеллиды Order Rhynchonellida Kuhn, 1949. Lower Ordovician–Holocene.
В среднем палеозое девять надсемейств.
Superfamily Ancistrorhynchoidea Cooper, 1956. Lower Ordovician–Lower Devonian.
Superfamily Rhynchotrematoidea Schuchert, 1913. Upper Ordovician–Lower Carboniferous.
Superfamily Uncinuloidea Rzhonsnitskaia, 1956. lower Silurian–Upper Devonian.
Superfamily Camarotoechioidea Schuchert, 1929. lower Silurian–Lower Carboniferous.
Superfamily Rhynchotetradoidea Licharew, 1956. Upper Devonian–Middle Jurassic.
Superfamily Lambdarinoidea Brunton & Champion, 1974. Upper Devonian–Upper Carboniferous.
Superfamily Dimerelloidea Buckman, 1918. Upper Devonian–Holocene.
Superfamily Stenoscismatoidea Oehlert, 1887 (1883). Lower Devonian–Upper Permian.
Superfamily Pugnacoidea Rzhonsnitskaia, 1956. Lower Devonian–Holocene.

Отряд Пентамериды Order Pentamerida Schuchert & Cooper, 1931.?Lower Cambrian, Middle Cambrian–Upper Devonian.
В среднем палеозое шесть надсемейств в двух подотрядах.
Superorder Syntrophiidina Ulrich & Cooper, 1936. ?Lower Cambrian, Middle Cambrian–Lower Devonian.
Superfamily Porambonitoidea Davidson, 1853. ?Lower Cambrian, Middle Cambrian–lower Silurian.
Superfamily Camerelloidea Hall & Clarke, 1895. Lower Ordovician–Lower Devonian.
Superorder Pentameridina Schuchert & Cooper, 1931. Upper Ordovician–Upper Devonian.
Superfamily Pentameroidea M’Coy, 1844. Upper Ordovician–upper Silurian.
Superfamily Stricklandioidea Schuchert & Cooper, 1931. lower Silurian–upper Silurian.
Superfamily Gypiduloidea Schuchert & LeVene, 1929. lower Silurian–Upper Devonian.
Superfamily Clorindoidea Rzhonsnitskaia, 1956. upper Silurian–Middle Devonian.

Отряд Ортиды Order Orthida Schuchert & Cooper, 1932. Lower Cambrian–Upper Permian.
В среднем палеозое четыре надсемейства в двух подотрядах.
Superorder Orthidina Schuchert & Cooper, 1932. Lower Cambrian–Lower Devonian.
Superfamily Orthoidea Woodward, 1852. Middle Cambrian–Lower Devonian.
Superfamily Plectorthoidea Schuchert & LeVene, 1929. Lower Cambrian–upper Silurian.
Superorder Dalmanellidina Moore, 1952. Lower Ordovician–Upper Permian.
Superfamily Dalmanelloidea Schuchert, 1913. Lower Ordovician–Upper Devonian.
Superfamily Enteletoidea Waagen, 1884. Lower Ordovician–Upper Permian.

Класс Ринхонеллаты Class Rhynchonellata Williams & others, 1996. Lower Cambrian–Holocene.
Отряд Протоортиды Order Protorthida Schuchert & Cooper, 1931. Lower Cambrian–Upper Devonian.
В среднем палеозое одно надсемейство.
Superfamily Skenidioidea Kozlowski, 1929. Lower Ordovician–Upper Devonian.

Отряд Ортотетиды Order Orthotetida Waagen, 1884. Lower Ordovician–Upper Permian.
В среднем палеозое три надсемейства в двух подотрядах.
Superorder Orthotetidina Waagen, 1884. Lower Ordovician–Upper Permian.
Superfamily Orthotetoidea Waagen, 1884. Middle Devonian–Upper Permian.
Superfamily Chilidiopsoidea Boucot, 1959. Upper Ordovician–Lower Carboniferous.
Superorder Triplesiidina Moore, 1952. Lower Ordovician–upper Silurian.
Superfamily Triplesioidea Schuchert, 1913. Lower Ordovician–upper Silurian.

Отряд Продуктиды Order Productida только подотряд Chonetidina Sarytcheva & Sokolskaya, 1959. Upper Ordivician–Upper Permian, ?Lower Triassic.
В среднем палеозое пять надсемейств в трех подотрядах.
Superorder Chonetidina Muir-Wood, 1955. Upper Ordovician–Lower Triassic.
Superfamily Chonetoidea Bronn, 1862. Upper Ordovician–Lower Triassic.
Superorder Productidina Waagen, 1883. Lower Devonian–Upper Permian, ?Lower Triassic.
Superfamily Productoidea Gray, 1840. Lower Devonian–Upper Permian, ?Lower Triassic.
Superfamily Echinoconchoidea Stehli, 1954. Middle Devonian–Upper Permian.
Superfamily Linoproductoidea Stehli, 1954. Lower Devonian–Upper Permian.
Superorder Strophalosiidina Schuchert, 1913. Lower Devonian–Upper Permian.
Superfamily Strophalosioidea Schuchert, 1913. Lower Devonian–Upper Permian.

Класс Строфоменаты Class Strophomenata Schuchert, 1893. Middle Cambrian–Upper Triassic.
Отряд Строфомениды Order Strophomenida Öpik, 1934. Lower Ordovician–Upper Carboniferous.
В среднем палеозое два надсемейства.
Superfamily Strophomenoidea King, 1846. Lower Ordovician–Upper Carboniferous.
Superfamily Plectambonitoidea Jones, 1928. Lower Ordovician–Middle Devonian.

Подтип Ринхонеллиобразные Subfillum Rhynchonelliformea Williams & others, 1996. Lower Cambrian–Holocene.
Класс Хилеаты Class Chileata Williams & others, 1996. Lower Cambrian–Upper Permian.
Отряд Диктионеллиды Order Dictyonellida Cooper, 1956. Upper Ordovician–Lower Permian.
В среднем палеозое одно надсемейство.
Superfamily Eichwaldioidea. Upper Ordovician–Lower Permian.

Отряд Тримериллиды Order Trimerellida Gorjansky & Popov, 1985. Lower Ordovician–upper Silurian.
В среднем палеозое одно надсемейство.
Superfamily Trimerelloidea Davidson & King, 1872. Lower Ordovician–upper Silurian.

Отряд Кранииды Order Craniida Waagen, 1885. Lower Ordovician–Holocene.
В среднем палеозое одно надсемейство.
Superfamily Cranioidea Menke, 1828. Lower Ordovician–Holocene.

Подтип Кранииобразные Subfillum Craniiformea Popov & others, 1993.?Lower Cambrian, Middle Cambrian, Ordovician–Holocene.
Класс Краниаты Class Craniata Williams & others, 1996.?Lower Cambrian, Middle Cambrian, Ordovician–Holocene.
Отряд Краниопсиды Order Craniopsida Gorjansky & Popov, 1985.?Lower Cambrian, Middle Cambrian, Ordovician–Lower Carboniferous.
В среднем палеозое одно надсемейство.
Superfamily Craniopsoidea Williams, 1963. ?Lower Cambrian, Middle Cambrian, Ordovician–Lower Carboniferous.

Отряд Акротретиды Order Acrotretida Kuhn, 1949. Lower Cambrian–Middle Devonian, ?Upper Devonian.
В среднем палеозое одно надсемейство.
Superfamily Acrotretoidea Schuchert, 1893. Lower Cambrian–Middle Devonian, ?Upper Devonian.

Подтип Лингулообразные Subfillum Linguliformea Williams & others, 1996. Lower Cambrian–Holocene.
Класс Лингулаты Class Lingulata Gorjansky & Popov, 1985. Lower Cambrian–Holocene.
Отряд Лингулиды Order Lingulida Waagen, 1885. Lower Cambrian–Holocene.
В среднем палеозое два надсемейства.
Superfamily Linguloidea Menke, 1828. Lower Cambrian–Holocene.
Superfamily Discinoidea Gray, 1840. Lower Ordovician–Holocene.

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