Jordan property for automorphism groups of compact spaces in Fujiki's class C$\mathcal {C}$

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