Spongitidaceae family accepted

Lithothamniaceae family accepted

Hydrolithaceae family accepted

Spongitaceae family accepted

Porolithaceae family accepted

Mastoporaceae family accepted

Lithophyllaceae family accepted

Amphithallia A.Athanasiadis, 2019 genus doubtful

Mastophoraceae family accepted

Mesophyllumaceae family accepted

Pseudochaetetes Haug, 1883 genus doubtful

Phormidioidea Wieland, 1930 genus accepted

Hapalidiaceae family accepted

Pseudosolenopora B.Mamet & A.Roux, 1977 genus doubtful

Tetonophycus C.L.Fenton & M.A.Fenton, 1939 genus accepted

Phormidiodea Wieland genus doubtful

Arenigiphyllum R.Riding, J.C.W.Cope & P.D.Taylor, 1998 genus doubtful

Lasneria J.Poncet & P.Morzadec, 1993 genus doubtful

Amorfia L.Rácz, 1964 genus accepted

Archaeolithophyllaceae family accepted

Corallinaceae family accepted

Solenoporaceae family accepted

Graticula genus doubtful

Craticulaceae family accepted

Mesophyllaceae family synonym

Halysis O.A.Høeg, 1932 genus accepted

Solenoporella V.P.Shuysky, 1991 genus doubtful

Nematothallopsis Smith & Butterfield, 2013 genus accepted

Sporolithaceae family accepted