| Diplopoda DeBlainville in Gervais, 1844 (Class) |
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| Chordeumatida Pocock, 1894 (Order) |
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| Adritylidae Shear, 1971 (Family) |
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| Altajellidae Mikhaljova & Golovatch, 2001 (Family) |
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| Anthogonidae Ribaut, 1913 (Family) |
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| Anthroleucosomatidae Verhoeff, 1899 (Family) |
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| Apterouridae Loomis, 1966 (Family) |
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| Attemsiidae Verhoeff, 1899 (Family) |
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| Bacropodidae Chamberlin & Hoffman, 1950 (Family) |
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| Biokoviellidae Mrsic, 1992 (Family) |
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| Brachychaeteumatidae Verhoeff, 1911 (Family) |
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| Branneriidae Cook, 1896 (Family) |
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| Broelemanneumatidae Verhoeff, 1929 (Family) |
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| Caseyidae Verhoeff, 1909 (Family) |
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| Chamaesomatidae Verhoeff, 1913 (Family) |
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| Chordeumatida_incerta_sedis (Family) |
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| Chordeumatidae C. L. Koch, 1847 (Family) |
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| Cleidogonidae Cook, 1896 (Family) |
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| Conotylidae Cook, 1896 (Family) |
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| Craspedosomatidae Gray in Jones, 1843 (Family) |
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| Cyrnosomatidae Mauriès, 2003 (Family) |
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| Diplomaragnidae Attems, 1907 (Family) |
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| Entomobielziidae Verhoeff, 1899 (Family) |
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| Eudigonidae Verhoeff, 1914 (Family) |
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| Faginidae Attems, 1926 (Family) |
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| Ghilaroviidae Gulicka, 1972 (Family) |
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| Golovatchiidae Shear, 1992 (Family) |
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| Haaseidae Attems, 1899 (Family) |
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| Haasiidae Hoffman, 1980 (Family) |
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| Haplobainosomatidae Verhoeff, 1909 (Family) |
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| Haplogonidae Hoffman, 1971 (Family) |
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| Heterochordeumatidae Pocock, 1894 (Family) |
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| Heterolatzeliidae Verhoeff, 1899 (Family) |
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| Hispaniosomidae Verhoeff, 1929 (Family) |
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| Hoffmaneumatidae Golovatch, 1978 (Family) |
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| Kashmireumatidae Mauriès, 1982 (Family) |
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| Lankasomatidae Mauriès, 1978 (Family) |
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| Lusitaniosomatidae Schubart, 1953 (Family) |
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| Macrochaeteumatidae Verhoeff, 1914 (Family) |
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| Mastigophorophyllidae Verhoeff, 1899 (Family) |
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| Megalotylidae Golovatch, 1978 (Family) |
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| Metopidiotrichidae Attems, 1907 (Family) |
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| Mexiceumidae Verhoeff, 1926 (Family) |
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| Microlympiidae Shear & Leonard, 2003 (Family) |
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| Neoatractosomatidae Verhoeff, 1901 (Family) |
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| Neocambrisomatidae Mauriès, 1987 (Family) |
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| Niponiosomatidae Verhoeff, 1941 (Family) |
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| Opisthocheiridae Ribaut, 1913 (Family) |
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| Origmatogonidae Verhoeff, 1914 (Family) |
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| Peterjohnsiidae Mauriès, 1987 (Family) |
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| Pygmaeosomatidae Carl, 1941 (Family) |
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| Pygmaesomatidae Carl, 1941 (Family) |
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| Reginaterreumatidae Mauriès, 1988 (Family) |
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| Rhiscosomididae Silvestri, 1909 (Family) |
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| Sakhalineumatidae Golovatch, 1976 (Family) |
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| Schedotrigonidae Mauriès, 1978 (Family) |
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| Speophilosomatidae Takakuwa, 1949 (Family) |
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| Striariidae Bollman, 1893 (Family) |
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| Syntelepodeumatidae Golovatch, 1977 (Family) |
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| Tingupidae Loomis, 1966 (Family) |
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| Trachygonidae Cook, 1896 (Family) |
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| Trachysomatidae Silvestri, 1896 (Family) |
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| Trichopetalidae Verhoeff, 1914 (Family) |
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| Underwoodiidae Verhoeff, 1909 (Family) |
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| Urochordeumatidae Silvestri, 1909 (Family) |
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| Vandeleumatidae Mauriès, 1970 (Family) |
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| Verhoeffiidae Verhoeff, 1899 (Family) |
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| Vieteumatidae Golovatch, 1984 (Family) |
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| Xystrosomatidae Brölemann, 1932 (Family) |
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