After Parker, 1982, and de Laubenfels, 1955

<==o Calcarea [Calcispongea] (kalkkisienet)
   |-- †Innaecoelida
   |--o †Solenida
   |  `-- †Camarocladiidae
   |--o †Thalamida
   |  |-- †Sebargasiidae
   |  |-- †Barroisiidae
   |  |-- †Cystothalamiidae
   |  |-- †Celyphiidae
   |  |-- †Cryptocoeliidae
   |  `-- †Sphaerocoeliidae
   |--o †Heteractinida [treated as Hexactinellid-sponges by de Laubenfels, 1955]
   |  |-- †Chancelloriidae
   |  |-- †Astraeospongiidae
   |  `-- †Asteractinellidae
   |-- †PERMOSPHINCTA
   |-- †SPHAEROCOELIDA
   |-- †CLATHODICTYIDA
   |?- LITHONIDA [synonymous with some other Calcarine sponges?]
   |--o CALCINIA Hartman, 1958, emend. Borchiellini et al., 2004
   |  |--o CLATHRINIDA
   |  |  `-- Clathrinidae
   |  `--o LEUCETTIDA
   |     |-- Leucaltidae
   |     |-- Leucascidae
   |     `-- Leucettidae
   |--o CALCARONIA Hartman, 1958, emend. Borchiellini et al., 2004
   |  |--o LEUCOSOLENIIDA
   |  |  `-- Leucosoleniidae
   |  `--o SYCETTIDA [?Lebetida]
   |     |?- Leuconiidae [Lebetida]
   |     |-- Sycettidae
   |     |-- Heteropiidae
   |     |-- Grantiidae [Lebetida]
   |     |-- Amphoriscidae
   |     `-- Lelapiidae
   |--o Pharetronidia [Pharetronida]
   |  |?-o †Chalarida
   |  |  |-- †Sestrostomellidae
   |  |  |-- †Stellispongiidae
   |  |  |-- †Elasmostomatidae
   |  |  |-- †Pharetrospongiidae
   |  |  |-- †Lelapiidae
   |  |  |-- †Discocoeliidae
   |  |  `-- †Elasmocoeliidae
   |  |--o †Stereida
   |  |  |-- †Porosphaeridae
   |  |  `-- †Bactronellidae
   |  `--o Inozoida [Murrayonida]
   |     |-- Murrayonidae
   |     |-- Paramurrayonidae
   |     |-- Minchinellidae
   |     |-- Petrobionidae
   |     `-- Lepidoleuconidae
   `--o Sphinctozoa
      `--o Poratida
         `-- Neocoeliidae

Reference(s):