1. Family Agalmatidae Brandt, 1835
2. Family Apolemiidae Huxley, 1859
3. Family Cordagalmatidae Pugh, 2016
4. Family Erennidae Pugh, 2001
5. Family Forskaliidae Haeckel, 1888
6. Family Physophoridae Eschscholtz, 1829
7. Family Pyrostephidae Moser, 1925
8. Family Resomiidae Pugh, 2006
9. Family Rhodaliidae Haeckel, 1888
10. Family Stephanomiidae Huxley, 1859
11. Family Agalmidae Brandt, 1835 accepted as Agalmatidae Brandt, 1835 (unaccepted > misspelling - incorrect original spelling)
12. Family Angelidae Fewkes, 1886 accepted as Rhodaliidae Haeckel, 1888 (synonym)
13. Family Apolemiadae Huxley, 1859 accepted as Apolemiidae Huxley, 1859 (incorrect name formation)
14. Family Athorybiadae Huxley, 1859 accepted as Athorybiidae Huxley, 1859 accepted as Agalmatidae Brandt, 1835 (original but incorrect family name formation)
15. Family Athorybiidae Huxley, 1859 accepted as Agalmatidae Brandt, 1835 (unaccepted > junior subjective synonym)
16. Family Forskalidae Haeckel, 1888 accepted as Forskaliidae Haeckel, 1888 (incorrect formation of family name)
17. Family Rhodalidae Haeckel, 1888 accepted as Rhodaliidae Haeckel, 1888 (incorrect formation of family name)
18. Family Stephanomiadae Huxley, 1859 accepted as Stephanomiidae Huxley, 1859 (unaccepted > misspelling - incorrect original spelling)

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