The Collaborative International Dictionary of English v.0.48:

Madreporaria \Mad`re*po*ra"ri*a\, n. pl. [NL. See Madrepore.]
   (Zool.)
   An extensive division of Anthozoa, including most of the
   species that produce stony corals. See Illust. of Anthozoa.
   -- Mad`re*po*ra"ri*an, a. & n.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Anthozoa \An`tho*zo"a\, n. pl. [NL., fr. Gr. 'a`nqos flower + ?
   animal.] (Zool.)
   The class of the C[oe]lenterata which includes the corals and
   sea anemones. The three principal groups or orders are
   Acyonaria, Actinaria, and Madreporaria.
   [1913 Webster]

WordNet (r) 3.0 (2006):

Madreporaria
    n 1: stony corals [syn: Madreporaria, order Madreporaria]