Pegasus is known as a winged horse. Some possible meanings include:
Magic or magical powers
Special or important
Other-worldly strength, power, or beauty
Punishment by God, fate, karma, etc., or the way it is delivered to someone... (read all at source)
Pegasus in Greek mythology, a winged horse that sprang from the blood of Medusa when Perseus cut off her head; the steed of the Muses. When did you last take off on the wings of inspiration? (read all at source)
PEGASUS THE DISCOVERY
The white Pegasus is ancient sign of the new millennium and new consciousness. (read all at source)
inevitability, kismet, Lacerta, Leo, Leo Minor, Lepus, Libra, lion, Little Dipper, lot, luminaries, luminary, Lupus, Lynx, Lyra, Malus, man of mark, master spirit, Mensa, Microscopium, moira, Monoceros, Musca, name, Norma, Northern Cross, notability, notable, Octans, Ophiuchus, Orion, Pegasus,... (read all at source)
Pegasus is a transition from one level to the next, he is lightning of Zeus. Centaurs often appear in the ceremonies dedicated to Dionysus. In Hinduism horse - flesh-ship, and the rider - this is the spirit. Mare Manu - deified earth. (read all at source)