  We define a 3-loop group $\Omega^3G$ as a subgroup of smooth maps from a
3-ball to a Lie group $G$, and then construct a 2-group based on an automorphic
action on the Mickelsson-Faddeev extension of $\Omega^3G$. In this we follow
the strategy of Murray et al., who earlier described a similar construction in
one dimension. The three-dimensional situation presented here is further
complicated by the fact that the 3-loop group extension is not central.
