Division Bacillariophyta Engl. & Gilg (1919) see Phylum Bacillariophyta Engl. & Gilg (1919)
   Class Bacillariophyceae Haeckel (1878) - pennates
     Subclass Bacillariophycidae D.G.Mann (1990) - raphid diatoms
       Order Lyrellales D.G.Mann (1990)
         Family Lyrellaceae D.G.Mann (1990)
           Genus Lyrellaᵀ Karaeva (1978)
             01 Lyrella abrupta (Gregory) D.G.Mann (1990)
             02 Lyrella abruptoides (Hust.) D.G.Mann (1990)
             03 Lyrella approximata (Grev.) D.G.Mann (1990)
             04 Lyrella approximatella (Hust.) D.G.Mann (1990)
             05 Lyrella approximatoides (Hust. ex Simonsen) D.G.Mann (1990)
             06 Lyrella atlantica (A.Schmidt) D.G.Mann (1990)
             07 Lyrella baldjickiensis (Heiden) D.G.Mann (1990)
             08 Lyrella barbara (Heiden) D.G.Mann (1990)
             09 Lyrella barbitos (A.Schmidt) D.G.Mann (1990)
             10 Lyrella californica (Grev.) D.G.Mann (1990)
             11 Lyrella circumsecta (Grunow ex A.Schmidt) D.G.Mann (1990)
             12 Lyrella clavata (Gregory) D.G.Mann (1990)
             13 Lyrella concilians (Cleve) D.G.Mann (1990)
             14 Lyrella copiosa (A.Schmidt) D.G.Mann (1990)
             15 Lyrella crebra (Hust.) D.G.Mann (1990)
             16 Lyrella diffluens (A.Schmidt) D.G.Mann (1990)
             17 Lyrella discreta (Hust.) D.G.Mann (1990)
             18 Lyrella durandii (Kitton) D.G.Mann (1990)
             19 Lyrella excavata (Grev.) D.G.Mann (1990)
             20 Lyrella exsul (A.Schmidt) D.G.Mann (1990)
             21 Lyrella genifera (A.Schmidt) D.G.Mann (1990)
             22 Lyrella hennedyi (W.Sm.) Stickle & D.G.Mann (1990)
             23 Lyrella hennedyella (Hust. ex Simonsen) D.G.Mann (1990)
             24 Lyrella hennedyoides (Hust.) D.G.Mann (1990)
             25 Lyrella illustris (Pant.) D.G.Mann (1990)
             26 Lyrella illustrioides (Hust.) D.G.Mann (1990)
             27 Lyrella imitans (A. Mann) D.G.Mann (1990)
             28 Lyrella inaurata (Hendey) D.G.Mann (1990)
             29 Lyrella inhalata (A.Schmidt) D.G.Mann (1990)
             30 Lyrella investigata (Heiden) D.G.Mann (1990)
             31 Lyrella irrorata (Grev.) D.G.Mann (1990)
             32 Lyrella irroratoides (Hust.) D.G.Mann (1990)
             33 Lyrella lyroides (Hendey) D.G.Mann (1990)
             34 Lyrella mediopartita (E. Grove ex A.Schmidt) D.G.Mann (1990)
             35 Lyrella miranda (Hust.) D.G.Mann (1990)
             36 Lyrella nebulosa (Gregory) D.G.Mann (1990)
             37 Lyrella novaeseelandiae (Hust.) D.G.Mann (1990)
             38 Lyrella oamaruensis (Grunow ex A.Schmidt) D.G.Mann (1990)
             39 Lyrella perfecta (Pant.) D.G.Mann (1990)
             40 Lyrella perplexoides (Hust.) D.G.Mann (1990)
             41 Lyrella praetexta (Ehrenb.) D.G.Mann (1990)
             42 Lyrella pseudoapproximata (Hendey) D.G.Mann (1990)
             43 Lyrella robertsiana (Grev.) D.G.Mann (1990)
             44 Lyrella sandriana (Grunow) D.G.Mann (1990)
             45 Lyrella schaarschmidtii (Pant.) D.G.Mann (1990)
             46 Lyrella semiapproximata (Hust. ex Simonsen) D.G.Mann (1990)
             47 Lyrella signatula (Hust.) D.G.Mann (1990)
             48 Lyrella spectabilis (Gregory) D.G.Mann (1990)
             49 Lyrella subirroratoides (Hust.) D.G.Mann (1990)
             50 Lyrella variolata (Cleve) D.G.Mann (1990)
             51 Lyrella venusta (Janisch ex Cleve) D.G.Mann (1990)
             52 Lyrella zanzibarica (Grev.) D.G.Mann (1990)
             53 Lyrella lyra (Ehrenb.) Karajeva (1978)