Shinden Kai; I think.
You are mixed up with the designation for the N1K2-J
Shiden Kai "George", a refinement of the N1K1
Shiden.
That's a Kyushu J7W1
Shinden; the J7W2
Shinden Kai was a proposed design variant of the Shinden that never made it off the drawing board (not surprising, since only two Shindens were built before Japan surrendered, and one was destroyed when the factory was bombed) that replaced the propellor and engine with a jet engine.
A comparison of the two aircraft. First, the Shinden:

And the Shinden Kai:

Here's a page from a Japanese modelling magazine about a model of the Shinden-Kai that someone converted from a Shinden kit on the premise that the Shinden Kai would be a conversion of the Shinden airframe that replaced the 2,130hp Mitsubishi MK9D ([Ha-43] 12), 18-cylinder radial engine with a 1,984lb. thrust Ne-130 turbojet, otherwise retaining all of the Shinden's tooling (There is some question over whether or not the J7W2 would have retained the same profile as the prop version. The argument that it would not rests on the fact that with the jet engine, there would be no need for the long landing gear as there would be no prop to provide clearance for. Another would be that the intakes would be simplified as there was only the need to feed the jet engine airflow.):
Images and reference material taken from the
Hikoki: 1946 website.