The spawn of Cthulhu ... came down from remote and ultra-telluric Xoth, the dim green double star that glitters like a daemonic eye in the blackness beyond Abbith. —Lin Carter, "Out of the Ages"

Xoth (or Zoth) is the green binary star where Cthulhu and his ilk once lived before coming to earth. According to the Xothic legend cycle, it is where Cthulhu mated with Idh-yaa to beget Ghatanothoa, Ythogtha, and Zoth-Ommog.

Xoth is also the native home of Ycnágnnisssz and Zstylzhemghi, and was the temporary home of the latter's "husband," Ghisguth, and their progeny, the infant Tsathoggua. Tsathoggua later went to live on Yuggoth. Afterward, he fled to Cykranosh to escape Cxaxukluth's cannibalistic eating habits.

Xoth may be the star Sirius, since "Xoth" is similar to "Sothis", the Egyptian name for the star. However, it is more likely that Xoth coincides with the star "Zoth" in Smith's writings.

Celaeno is one of the seven stars of the Pleiades. On its fourth planet is the Great Library of Celaeno, which houses stone tablets containing secrets stolen from the Great Old Ones and Elder Gods. Professor Laban Shrewsbury spent some time here, transcribing the library's knowledge in his notebook—a manuscript that would later be known as the Celaeno Fragments.

Glyu-Uho (or Glyu-Vho or K'Lu-Vho) is the name for Betelgeuse in Naacal (the language of Mu), and is the star where the Elder Gods came from to battle the Great Old Ones (though it may actually be the place where a gateway leads to Elysia, the dimension where the Elder Gods are thought to live). Betelgeuse is also mentioned as the homeworld of the 'Ithria, a star-faring fungoid race.

The second star of Orion constellation, Rigel, is mentioned by August Derleth as one of the sidereal realms of the Elder Gods, including Betelgeuse.

Wezen (Elwazn or L'waz in R'lyehan) is allegedly the star orbited by planet Thuggon.

Hyades is the sky field where the city of Carcosa and its planet are located

Elysia, the dimension where the Elder Gods are thought to live. There is rumored to be a portal from Betelgeuse to Elysia.

Extra credit if you are able to locate the portal.

Sargas is a bright star in Scorpius constellation also mentioned as Sauron along with the Great Old One Eihort.

Double star mentioned by H.P. Lovecraft as sidereal place of a demonic shining entity made of light. The same star is also described in other Mythos stories as a planetary system host (See Ymar) and sidereal prison of the Dholes.

The Eye of the Bull is the star of the Great Old One Hastur. It lies in the constellation of Taurus, near the Pleiades. Hastur inhabits the Lake of Hali on a planet circling a dark star near Aldebaran which may be connected with Marion Zimmer Bradley's Darkover novels, which also use the Hastur myth. The Celaeno Library of might also be here?

Arcturus is the star from which came Zhar and his "twin" Lloigor. Also Nyogtha is related to this star. Kythanil (or Kythamil or Kthymil) is a double planet orbiting the star Arcturus and is the place where Tsathoggua's formless spawn originated from.

Bzlah-ech'ya. A planet with pale red sky orbiting three Suns (perhaps the nearby triple system EZ Aquarii). There the "Sealed Tower of N'kung" is located, likely the tomb or prison of a three-eyed demonic entity of impossible horror.

Fomalhaut is the main star of Piscis Austrinus, a bright white-blue main sequence star. It is orbited by a planet where the Great Old One Aphoom-Zhah was born and near lies the star Korvaz, where the Great Old One Cthugha is imprisoned.

G'yoth & Yg'giath A pair of twin red suns located near Castor (likely the eclipsing binary YY Geminorum) and orbited by a steamy hellish planet where damned souls bound to the cult of Y'golonac and his demonic spouse relentlessly whirl and cavort.

The brightest star of Lyra constellation mentioned as the sidereal abode of unnamed furry aliens who visited the Earth in Paleocene Epoch.

This will be your greatest challenge as the system is locked by a permit. You will need to obtain a permit from the Federation.