Garlic is in the Alliaceae family, but was formerly classified
as Liliaceae. Some botanists believe it should have remained in the
old classification.
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No, A fruit is the product of a fertilized flower and will
contain seeds. Garlic, (Allium sativum L) is a member of the onion
family Alliaceae. The "garlicky" part of garlic is actually a
protective layer of modified leaves that aid in storing
nutrients.
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It was once classified in the lily family, like its Allium cousins, onions and garlic, but the Liliaceae have been split and the onion-like plants are now in the family Alliaceae and asparagus in the Asparagaceae.
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Garlic is considered to be both a vegetable and a herb.