The insect order Neuroptera, or net-winged insects, includes the lacewings, mantidflies, antlions, and their relatives.The order contains about 6,000 species.he group was once known as Planipennia, and at that time also included alderflies, fishflies, dobsonflies, and snakeflies, but these are now generally considered to be separate orders (the Megaloptera and Raphidioptera). Sometimes the name Neuropterida is used to refer to these three orders as a group.