What would Maxwell's equations look like in a universe which followed Galilean transformations?

I was wondering how the electromagnetic force would behave in a Gallilean transformation universe. Would the magnetic force be non-existent?

We know that Gallilean transformations are Lorentz transformations as $$c\rightarrow \infty$$. How does taking this limit affect the behavior of the electromagnetic force (i.e. Maxwell's equations)?