Finite closed 5-loops of extended hyperbolic plane

There are four types of finite closed 5-loops which are invariant by the fundamental group $G$ and singled out on the extended hyperbolic plane $H^2$. It is proved that convex 5-loops belong to two types. The interior of the first type 5-loop coincides with the plane $H^2$. The 5-loop of the second type allows the partition into two simple loops of three and four dimension. Its interior coincides with the interior of the component of the simple 4-loop. The topological 5-loop properties are researched.