  It is well known that if a group G factorizes as G = NH where H\leq G and N
is normal in G then the group structure of G is determined by the subgroups H
and N, the intersection of N with H and how H acts on N with a homomorphism f :
H -> Aut(N). Here we generalize the idea by creating extensions using the
semi-automorphism group of N. We show that if G=NH is a Moufang loop, N is a
normal subloop, and H=<u> is a finite cyclic group of order coprime to three
then the binary operation of G depends only on the binary operation of N, the
intersection of N with H, and how u permutes the elements of N as a
semi-automorphism of N.
