composite family

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun A very large family of flowering plants, the Compositae (or Asteraceae), characterized by having many small flowers arranged in a head that looks like a single flower, with one or more whorls of bracts underneath. A head may consist of both ray flowers and disk flowers, as in the sunflower, of disk flowers only, as in the burdock, or of ray flowers only, as in the dandelion.