  We consider multisolitons with charges 1 =< B =< 5 in the baby Skyrme model
for the one-parametric family of potentials U=\mu^2 (1-\phi_3)^s with 0<s =< 4.
This class of potentials is a generalization of the `old' (s=1) and
`holomorphic' (s=4) baby Skyrme models. We find that for charge one, stable
solutions exist for every value of s and they are rotationally-symmetric. For
higher charges, stable solutions exist only below s \approx 2. In the
charge-two sector the stable solutions are always rotationally-symmetric and
ring-like. For charge three and above, rotational symmetry is exhibited only in
the small s region; above a certain critical value of s, this symmetry is
broken and a strong repulsion between the constituent one-Skyrmions becomes
apparent. We also compute the spatial energy distributions of these solutions.
