Hubble's law is not applicable to Galaxies in the Local Group because the motion of these galaxies is affected by Gravitational interaction with the Milky Way
The Hubble-Lemaître law, commonly referred to as Hubble's law is the finding in astrophysics that galaxies are moving away from Earth at rates proportionate to their separation. In other words, they are travelling away from Earth more quickly the more away they are.
A galaxy is a collection of stars, stellar remnants, interstellar gas, dust, and dark matter that is bound together by gravitation. The name is a translation of the Greek word "galaxias", which means "milky" and refers to the Milky Way galaxy, which houses the Solar System.
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