Let $B$ be a path connected and locally simply connected space. Let $H$ be a normal subgroup of $\pi_1(B,b).$
If $$p:(E,e) \rightarrow (B,b)$$ is the connected covering map for which $$p_*: \pi_1(E,e) \rightarrow \pi_1(B,b)$$ has image $H$.
Question: How I do compute the group of covering transformations of $p$?
Any help on this will be great.