The name of the galaxy that contains our solar system is the Milky Way. The Milky Way is a barred spiral galaxy with a diameter of about 100,000 light-years and a thickness of about 1,000 light-years.
The distance between the Earth and the center of the Milky Way is estimated to be about 27,000 light-years. However, the exact distance from the Earth to any specific point within the galaxy can vary significantly depending on the location.