lacewing fly vs neuropteran

lacewing fly and neuropteran both are nouns.

Word	Noun	Adjective	Verb	Adverb
lacewing fly	Yes	No	No	No
neuropteran	Yes	No	No	No

As nouns, neuropteran is a hypernym of lacewing fly; that is, neuropteran is a word with a broader meaning than lacewing fly:

lacewing fly: any of two families of insects with gauzy wings (Chrysopidae and Hemerobiidae); larvae feed on insect pests such as aphids
neuropteran: insect having biting mouthparts and four large membranous wings with netlike veins

Other hypernyms of lacewing fly include neuropteron, neuropterous insect.

lacewing fly (noun)	neuropteran (noun)
any of two families of insects with gauzy wings (Chrysopidae and Hemerobiidae); larvae feed on insect pests such as aphids	insect having biting mouthparts and four large membranous wings with netlike veins