What is the collective name for pinks and carnations?

The pinks (D. plumarius), carnations (D.caryophyllus) and sweet william (D. barbatus) belong to the flamily Caryophyllaceae (meaning "clove" since they have a spicy frangrance), and are collectively referred to by their genus name, Dianthus (meaning "God's Flower"). They all have the typical noded stem and serrated or "pinked" petal edging.