Order Hemiptera and Lantern Bugs
Lantern bugs all belong under the order called Hemiptera.
There are actually around 80,000 species belonging under the order. Aside from lantern bugs other insect under the Hemiptera order include cicadas, aphids, shield bugs, etc. Insect belonging all have the distinctive characteristic of having a proboscis with a beak (rostrum) that is designed to pierce tissue and suck fluids, usually sap, out. True bugs undergo metamorphosis several times and the nymphs look a lot like the adults.
The Order Hemiptera is further subdivided into the sub-orders Heteroptera, Auchenorrhyncha, Sternorrhyncha, and Coleorrhyncha. The last three sub-orders where once classified under one sub-order, Homoptera, until since they shared the same wing structure and position of their rostrum. Lantern bugs belong under the sub-order Homoptera.