is a specific kind of: alliaceous plant.

is a broader term that covers: Allium acuminatum, Hooker's onion | Allium cernuum, lady's leek, nodding onion, nodding wild onion | Allium vineale, crow garlic, false garlic, field garlic, stag's garlic, wild garlic.

is a member of: Allium, genus Allium.