In addition to this, there are also The Seven Infernal Habitations or seven hells (Tehom, Abaddon, Titahion, Barshacheth, Tzelmoth, Shaarimoth and Gehinnom), twelve Qliphotic orders of demons, three powers before Satan and twenty-two demons which correspond to the 22 letters of the Hebrew alphabet.
According to Israel Regardie, the qlipothic tree consists of 10 spheres in opposition to the sephiroth on the Tree of Life. These are also referred to as the "evil twins". They are also the "Evil Demons of Matter and the Shells of the Dead.
Bill Heidrick gives his own interpretation on the adverse tree, saying that the spellings are "mostly reconstructions with alternatives. Nonetheless, it is believed that the majority of the above are at least suitable if not perfect." He also goes on to say that "These names are sometimes called the 'adverse Sephiroth' instead of the Demonic Orders. A.E. Waite makes this later point in his Holy Kabbalah, page 256.
The following comes from the Notes on the Demonic Orders (Adverse Sephiroth) in Magical Correspondences by Bill Heidrick.
"Thamiel represents duality whereas Kether represents unity. Thus Thamiel is the division of that which is perfect only in unity. As a demonic order name, the Thamiel were before their 'revolt'. This signifies 'Perfection of God'. These angels sought to become more powerful by adding an Aleph to their name. They then became the 'Duality of God,' an order of the lesser demons. In the lowest state of their 'fall', they become the 'the Polluted of God.' The cortex or outer form of the Thamiel is called Cathariel, 'the Broken' or 'Fearful Light of God'."
Satan : Adversary and King
"These are the confusion of that great power which, as Chokmah, goes forth at the beginning to give the vital energy of creation to the processes of Binah. The cortex of the Chaigidel is called Ghogiel, 'Those Who Go Forth into the Place Empty of God'."
Beelzebub: Lord of the Flies and Adam Belial: Wicked Man
To Chaigidel, "both Satan and Beelzebub are attributed as well as Adam Belial. The name Belial is often used separately as a demonic name."
"Even as Binah is the great revealing one who bestows the structure of the Absolute onto the created, its opposite, the Sathariel, conceal the nature of The Perfect. The cortex or outer form of the Sathariel is called the order of Sheireil, 'The Hairy Ones of God'."
Lucifuge: One Who Flees Light
"Chesed is the source of bounty both in idea and in substance to the lower forms. Gamchicoth is the order of 'Devourers' who seek to waste the substance and thought of creation. The outer form is the order of Azariel, 'The Binding Ones of God'."
Astaroth: One of the Flock
"Geburah is a going forth in power to rule in strength. The order of Golab is composed of those who burn to do destruction --- even on themselves. The outer form is Usiel, 'The Ruins of God'."
Asmodeus: The Destroying God
To Golachab, Asmodeus is attributed. "This name is half Hebrew and half Latin. Asmodeus is often mentioned in the literature of demonology. The name can also be translated as 'The one adorned with fire'."
"Tiphereth is the place of great beauty and rejoicing. The Togaririm build ugliness and groan about it. The cortex of the Togaririm is called Zomiel, 'The Revolt of God'."
Belphegor: Lord of the Dead
To Togaririm, "the replacement of Tiphereth, the sphere of the vitalizing Sun, with a place holding Belphegor, the lord of dead bodies, is most striking."
"Netzach is the openness of natural love. The Harab Serapel are the Ravens of Death who reject even their own. The outer form is Theumiel, 'The Fouled Substance of God'."
Baal: Lord and Tubal Cain: Maker of Sharp Weapons
To Harab Serapel, "Baal is attributed, and is "a word which means Lord, much as Adonai means Lord. The word Baal or 'Bel' has become restricted in its usage to signify a 'Lord of Darkness'." Also attributed is Tubal Cain.
"Hod is the complex working of the will of the Absolute. Samael represents the barren desolation of a fallen and failed creation. The outer form is Theuniel, 'The filthy Wailing Ones of God'."
Adrammelech: Powerful King
To Samael, Adrammelech is attributed. "This name is found in Fourth Kings: XVII, 29-31: ' And the men of Babylon made Succoth-benoth, and the men of Cuth made Nergal, and the men of Hamath made Ashima, and the Avvites made Nibhaz and Tartak, and the Sepharvites burnt their children in the fire to Adrammelech and Anammelech, the gods of Sepharvaim."
"Yesod is the place of the final forms that become matter in Malkuth. The Gamaliel are the Misshapen and polluted images that produce vile results. The outer form is the order of Ogiel, 'those Who Flee from God'."
Lilith: Night Specter
To Gamaliel, Lilith is attributed and "is the grand lady of all demons. The demons are sometimes considered to be the children of Lilith and is said to be the woman who comes to men in their dreams."
"These are responsible for frightening sounds in strange places. They excite the mind and cause strange desires." This corresponds with Malkuth as well.
To Nehemoth, Nehema is attributed, "and is traditionally a demon and the sister of Lilith, possibly a remembrance of the Egyptian Nephthys and Isis. It is conceivable that Nehema is the same as Naamah, the sister of Tubal Cain."