Let X be a compact complex space in Fujiki's Class C. We show that the group Aut(X) of all biholomorphic automorphisms of X has the Jordan property: there is a (Jordan) constant J=J(X) such that any finite subgroup G≤Aut(X) has an abelian subgroup H≤G with the index [G:H]≤J. This extends the result of Prokhorov and Shramov for Moishezon threefolds.
