As nouns,
cockroach is a hyponym of
dictyopterous insect; that is, cockroach is a
word with a more specific, narrower meaning than
dictyopterous insect:
dictyopterous insect: cockroaches and mantids
cockroach: any of numerous chiefly nocturnal insects; some are domestic pests
Other hyponyms of dictyopterous insect include
roach, mantid, mantis.