Cybele is the deity of Phrygia that represents the idea of a mother goddess, similar to Gaia of the Greeks. Cybele is also associated with various natural elements, including wildlife and vegetation.
In Greece, Cybele was a protector of several city-states, one of which is Athens. Her most celebrated Greek rites and processions showed her as a foreign and exotic mystery-goddess. She arrives in a lion-drawn chariot to the accompaniment of wild music, wine, and a disorderly, ecstatic following. She was unique amongst deities worshipped by the Greeks as she had a transgendered, or eunuch, priesthood. Many of her Greek cults included rites to a divine, castrated, Phrygian shepherd-consort known as Attis. She is associated with mountains, town and city walls, fertile nature and wild animals, namely lions.
In Rome she was known as Magna Mater, meaning Great Mother. They would reinvent her as a Trojan goddess, which made her a goddess ancestor of the Roman people by way of the Trojan prince Aeneas. With Rome's eventual dominance over the Mediterranean, a Roman version of Cybele's cult would spread throughout the entire empire.
"Phrygian goddess of the earth. She had a cult following even in Rome. A goddess of the mountains of Phrygia, she is often depicted on a throne with lions on each side or on a chariot pulled by lions and known as a mistress of animals. Cybele was incorporated into Greek mythology as well, but was often seen as Rhea, who was another earth goddess, and eventually assimilated with her."
—Devil Summoner: Soul Hackers 3DS Compendium
Raidou Kuzunoha vs. King Abaddon
"The embodiment of Mother Earth, as well as her protector, it is revered in the mountains of Turkey. Cybele commands wild beasts, using lions in particular. She was later celebrated in Roman culture as well."
—Gouma-Den Devil Chart
Cybele appears as a boss in Chapter Three in the Great Summoner's Hall if Raidou is Law-aligned. She inflicts fatal injuries on High Pixie during the fight against Nagi, which leads to her death after Raidou beats her. She picks a fight with Raidou since she wishes to fight a strong summoner and says weak summoners are better off dead. She calls for reinforcements, which are Lamias during the battle and uses Shock Wave frequently.