Which cockroach species produces egg cases with more than two times the length compared to their width?

The German cockroach is notable for producing egg cases, known as oothecae, that are significantly elongated compared to their width. This characteristic is particularly pronounced in this species, where the egg cases can reach more than two times in length compared to their width.

German cockroaches are one of the most common pest species in urban environments, and the shape of their oothecae is a key identifier when distinguishing them from other cockroach species. The elongated nature of these egg cases allows for a larger number of embryos, typically containing around 30 to 40 eggs, which contributes to their rapid reproduction rate and potential for infestations in homes and businesses.

In contrast, the other cockroach species mentioned produce egg cases that do not exhibit the same elongated form relative to their width. For example, the American cockroach and the Oriental cockroach have egg cases that are wider in comparison or have differing shapes. The Australian cockroach also has unique characteristics in its oothecae that do not fit the specific criteria outlined in the question.