Manuscript Preparation, Copyediting, and Proofreading

Q. When tables are double enumerated (3.1, 3.2, etc.) is a full stop placed after the number and before the space separating it from the table title?

A. This is usually a design decision rather than an editorial one. You can see examples of it with and without the period at CMOS 3.54.

[This answer relies on the 17th edition of CMOS (2017) unless otherwise noted.]