1) As sharing a common genus 
• (adv.) With regard to a genus, or an extensive class; as, an animal generically distinct from another, or two animals or plants generically allied.
Ge·ner'ic·al·ly adverb With regard to a genus, or an extensive class; as, an animal generically distinct from another, or two animals or plants generically allied. 
[adv] - without a trademark or brand name 2. [adv] - as sharing a common genus
adverb as sharing a common genus; `these animals are not related generically`