  In this paper, we investigate non-abelian extensions and inducibility of
pairs of automorphisms of Lie triple systems.
  First, we introduce non-abelian cohomology groups and classify the
non-abelian extensions in terms of non-abelian cohomology groups.
  Next, we characterize the non-abelian extensions using Maurer-Cartan
elements. Furthermore, we explore the inducibility of pairs of automorphisms
and derive the analog Wells exact sequences under the circumstance of Lie
triple systems. Finally, we state the previous results under the context of
abelian extensions of Lie triple systems.
