Kingdom Plantae Haeckel (1866) - plants Subkingdom Rhodoplantae G.W.Saunders & Hommers. (2004) Phylum Rhodophyta Wettst. (1901) - red algae Subphylum Eurhodophytina G.W.Saunders & Hommers. (2004) Class Florideophyceae Cronquist (1960) Subclass Nemaliophycidae Christensen (1978) 01 Order Acrochaetiales Feldmann 02 Order Balbianiales Sheath & K.M. Müller (1999) 03 Order Balliales H.G.Choi, Kraft & G.W.Saunders (2000) 04 Order Batrachospermales Pueschel & K.M.Cole 05 Order Colaconematales J.T.Harper & G.W.Saunders (2002) 06 Order Corallinales P.C.Silva & H.W.Johans. (1986) 07 Order Nemaliales F.Schmitz (1892) 08 Order Palmariales Guiry & D.E.G.Irvine 09 Order Rhodogorgonales Fredericq, J.N.Norris & Pueschel 10 Order Thoreales K.M. Müller, A.R.Sherwood, Pueschel, Gutell & Sheath (2002)