Key points are not available for this paper at this time.
In this paper we study holomorphically homogeneous model submanifolds CR-type (1, 3) complex space C⁴. One finds moduli space of five-dimensional model surfaces Bloom-Graham type ( (2, 1), (3, 1), (4, 1) ). It is shown that there exists unique model surface of this type with property of holomorphical homogeneous, which is equivalent to tube surface C with affin homogeneous base. One describes and classifies with respect to model surfaces the orbits relative to the group of holomorhical automorphisms of C
I. I. Zavolokin (Tue,) studied this question.