- Fly - Diptera
Flies belong to the order Diptera. - Grasshopper - Orthoptera
Grasshoppers, crickets, and katydids belong to the order Orthoptera. - Hopper - Homoptera
Leafhoppers, froghoppers and spittlebugs belong with scales, cicadas and aphids in the order Homoptera. - Mantid - Mantodea
Mantids belong to the order Mantodea. - Mantidfly - Neuroptera
Mantidflies may resemble mantids or wasps, but belong with the lacewings in the order Neuroptera. - Mayflies - Ephemeroptera.
Mayflies belong to the order Ephemeroptera. - Twisted-wing parasites - Strepsiptera.
Twisted wing parasites like this one may be parasites of wasps or leafhoppers and belong to the order Strepsiptera. - Pillbug - Isopoda
Woodlice, or pillbugs are related to crustaceans in the Isopoda and are not insects. - Roach - Blattodea
Roaches belong to the order Blattodea. - Scorpionfly - Mecoptera.
Scorpionflies, snow fleas, and hangflies belong to the order Mecoptera. - Spiders - Arachnids, not Insects!
Spiders are not insects and belong to the Arachnids. - springtail - order Collembola
Springtails are abundant in soil and while they have six legs, they are not true insects. They belong to the order Collembola. Most are small and often overlooked. - Stick insect - Phasmatodea
Walkingsticks and leaf mimics belong to the order Phasmatodea. - Stoneflies - Plecoptera
Stoneflies are a fly fisher's favorite. They belong to the order Plecoptera. - Sucking louse - Phthiraptera
While there is some disagreement on the exact methods for categorizing them, lice like this human louse may be considered to belong to the order Phthiraptera (includes all lice) or separated into Mallophaga (just chewing lice) and Anoplura (just sucking lice).