Select the incorrect statement about the reproductive system of male cockroach.

The male reproductive system consists of a pair of testes one lying on each lateral side in the 4th-6th abdominal segments. From each testis arises a thin vas deferens, which opens into the ejaculatory duct through seminal vesicle. The ejaculatory duct opens into male gonopore situated ventral to the anus. A characteristic mushroom-shaped gland is present in the 6th-7th abdominal segments which function as an accessory reproductive gland. The external genitalia is represented by male gonapophysis or phallomere (chitinous asymmetrical structures, surrounding the male gonopore).