Dilaridae

The pleasing lacewings, Dilaridae, are a family of winged insects of the order Neuroptera.

They were formerly placed in the superfamily Hemerobioidea. But it seems that the Dilaridae are a rather basal member of the Mantispoidea, which includes among others the mantidflies (Mantispidae), whose peculiar apomorphies belie that their relationship to the pleasing lacewings is apparently not at all distant.