How do reproductive system of cockroach get working?

cockroaches are dioecious and both sexes have well developed reproductive oragns. Sperms are transferred through spermatophores. their fertilised eggs are encased in capsules called oothecae. Ootheca is a dark reddish to blackish brown capsule, about 3/8" (8mm) long. They are dropped or glued toa suitable surface, usually ina crack or crevice of high relative humidity near a food source. On an average female produce 9-10 oothecae, each containing 14-16 eggs