What are the seven groups of invertebrates?

They are:

Sponges (Porifera)

Comb jellies (Ctenophora)

Hydras, jellyfishes, sea anemones, and corals (Cnidaria)

Starfishes, sea urchins, sea cucumbers (Echinodermata)

Flatworms (Platyhelminthes)

Round or threadworms (Nematoda)

Earthworms and leeches (Annelida)