The Local Group (LG) is a Galaxy Group of 54+ galaxies including the Milky Way, Andromeda, Triangulum Galaxy, and a number of dwarf galaxies (generally Satellite Galaxies) such as Canis Major Dwarf Galaxy, Large Magellanic Cloud, Small Magellanic Cloud, Sagittarius Dwarf Irregular Galaxy, Sagittarius Dwarf Elliptical Galaxy, and Ursa Major II Dwarf. The exact number is unclear because groups of stars continue to be discovered, consensus must be reached regarding whether to classify them as galaxies, and new observations potentially change the classification.
The Local Group's diameter is about 10 mega light-years. It is part of the Local Sheet and the Virgo Supercluster. The Local Group galaxies are moving toward the Virgo Cluster, (i.e., there is a difference in their relative velocity and the Hubble Flow) which resides at the center of the Virgo Supercluster. The movement, which is (very roughly) on the order of 100 km/s, is termed the Virgocentric Flow (VCF or Virgocentric Peculiar Velocity).