Question: Do Cabomba and Aeonium both belong to the same family?

Context articles: Aeonium
Cabomba
Aeonium haworthii
Cabomba furcata
Aeonium cuneatum
Aeonium undulatum
Aeonium urbicum
Aeonium arboreum
Cabomba aquatica
Aeonium tabuliforme

Aeonium (tree houseleek) is a genus of about 35 species of succulent, subtropical plants of the family Crassulaceae.
 Many species are popular in horticulture.
 The genus name comes from the ancient Greek "aionos" (ageless).
 While most of them are native to the Canary Islands, some are found in Madeira, Morocco, and in East Africa (for example in the Semien Mountains of Ethiopia).
Cabomba is an aquatic plant genus, one of two belonging to the family Cabombaceae.
 It has divided submerged leaves in the shape of a fan (hence the vernacular name fanwort) and is much favoured by aquarists as an ornamental and oxygenating plant for fish tanks.
 Use in the aquarium trade has led to some species being introduced to other parts of the world, such as Australia, where they have become weeds.
Aeonium haworthii (Haworth's aeonium, pinwheel) is a species of succulent flowering plant in the family Crassulaceae.
 It is native to the Canary Islands, but it has been introduced to other areas of similar climate, such as Southern California.
 It is a sand-dwelling beach plant, a subshrub with rough, woody stems and rosettes of thick, red-edged green leaves which are triangular or diamond- or spade-shaped.
 It grows to 60 cm, with panicles of cream-colored pointed flowers produced in spring.
Cabomba furcata is a species of aquatic plant in the water shield family known by the common names red cabomba and forked fanwort.
 It is native to South America and as far north as Cuba and the tip of Florida.
 It reaches a maximum height between 30 and 80 cm and is up to 8 cm wide.
 It bears purple flowers.
Aeonium cuneatum is a succulent species of flowering plant of the family "Crassulaceae".
 It has a large leaf rosette and no stem.
 The leaves are smooth but have a grey shine to the upper surface which can be rubbed.
 It offshoots easily which makes a large group of "Aeoniums" across the ground.
 The flower is yellow and more open than the flowers of some other "Aeonium" species.
Aeonium undulatum is a succulent, evergreen flowering plant in the family Crassulaceae.
 It is a subshrub, one of the larger species of "Aeonium" with a large leaf rosette often over a metre from the ground on a single, unbranched stem.
 Other rosettes do not branch off this stem (normally) but grow from the bottom, unlike most aeoniums.
 The plant is monocarpic so the flowering stem will die when it flowers which is normally after about 5 years.
Aeonium urbicum is a succulent species of flowering plant in the Crassulaceae family.
 It is endemic to Tenerife, one of the Canary Islands, where it frows on the north of the island from Teno point to the Anaga peninsula.
 Until 1999, it was also considered a resident of La Gomera, another Canary Island, but that year the populations on that island were considered a new species and named "Aeonium appendiculatum".
Aeonium arboreum, the tree aeonium, tree houseleek, or Irish rose, is a succulent, subtropical subshrub in the flowering plant family Crassulaceae.
 It is native to the hillsides of the Canary Islands, where it is known as bejeque arboreo and introduced in the Mediterranean It bears rosettes of leaves and large pyramidal panicles of bright yellow flowers in the spring.
 In temperate regions it needs to be grown under glass.
 The purple cultivar 'Zwartkop' ('Schwartzkopf') has gained the Royal Horticultural Society's Award of Garden Merit.
 and a variegated form is grown as cultivar 'variegatum'.
Cabomba aquatica is a popular aquarium plant that belongs to the family Cabombaceae and genus "Cabomba".
 It is a perennial aquatic plant that exist in fresh standing water or in lakes and rivers with slight currents.
Aeonium tabuliforme (flat-topped aeonium, saucer plant) syn.
 "A. bertelothianum", "Sempervivum complanatum", is a species of succulent plant in the family Crassulaceae, native and endemic to Tenerife in the Canary Islands.
 It grows on moist, north-facing cliffs and ledges at low altitude.
 A mass of fleshy, hairy, bright green leaves in flat rosettes, is produced on short unbranched stems, often on vertical surfaces.