1. Acanthopterygii. - Spinous rays on dorsals, and ventrals; lower pharyngeals separate; air-bladder without duct. (Examples: mackerel, mullet, perch, sea-bream.)
2. Acanthopterygii Pharyngognathi. - Tliese ditfer from No. 1 in having the lower pharyngeals united. (Examples: goldsinny, tautog, wrasse.)
3. Anacanthini. - Fins without spinous rays; ventrals, if present, on throat or breast, lower pharyngeals separate; air-bladder without duct. (Examples: cod, haddock, hake, ling, sole, turbot.)
4. Physostomi. - Fins without spinous rays; ventrals on belly; air-bladder with duct. (Examples: carp, pike, roach, salmon.)
5. Lophobranchii. - Gills composed of small rounded lobes; dermal skeleton of numerous pieces. (Examples: hippocampus, pipe-fish.)
6. Plectognathi. - A soft dorsal opposite the anal; ventrals obsolete or reduced to spines; skin armed with scutes or spines, or naked. (Examples: file-lish, globe-fish.)