(Latin plural genera), 1550s as a term of logic, "kind or class of things" (biological sense dates from c. 1600), from Latin genus (genitive generis) "race, stock, kind; family, birth, descent, origin" (from suffixed form of PIE root *gene- "give birth, beget," with derivatives referring to procreation and familial and tribal groups).
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Harper, D. (n.d.). Etymology of genera. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/genera