Central University ranks in the top ten among private universities, but it is much worse than many national universities.
To give a simple example, we all know that Waseda University, a famous Japanese school, ranks second among private schools, but it ranks lower in Japan, even failing to enter the top 10, ranking 12, and Keio University, the first private school, ranks 1 1 in Japan. The top ten universities in Japan are all national universities.