But there's more to this story. The group appears to be headed away from us, which means that in the past it was closer. Actually, they were a lot closer. This proto-galaxy collapsed and broke up a bit, forming us, the Andromeda Galaxy, and other lesser galaxies. These latter include our own satellite galaxies called the Magellanic Clouds, and the IC 342 group.
Life can be rough for the smaller galaxies in a group.
The bigger galaxies, haing more mass, can bully the little ones. Such an occurrence is actually routine when many galaxies are involved. Two large ones, orbiting each other, can pass a bit of that orbital energy to a smaller galaxy. What seems like a small amount of energy to a giant like the Milky Way is huge for a tiny galaxy, or even a group of tiny galaxies. That energy gets translated into velocity, and the little galaxy or galaxies suddenly pick up speed.