Short answer: there is no quick and easy chart.
I’m going from memory so I’ll probably screw this up and I welcome corrections and fact-checks!
The no-dash 52 arrived in… hmmm 1962 or 1963? These started at sn 50000 and the no-dash ran to somewhere near 53500 I think.
Then the 52-1 arrived and that ran from about 53501 to 55999 or somewhere near. I don’t think any 52’s went to 56000. At that point the range jumped directly to 100000.
Here it gets odd because the SCSW 4th says that the A-serial prefix starts at A115001 but we have seen examples of A-prefix between 100000 and 115001. SCSW 4th also suggests that A115001 should be 1970.
The A-prefix and 6 digit number ran all the way to the A700-some range, I think. I don’t believe I have seen any A800xxx Model 52 pistols but the 2nd Gen 9mm guns were definitely using the A800xxx and this would have been around 1983.
Some time in the mid-1980’s, the Model 52 moved to the three alpha prefix system with three letters and four numbers. And unless my memory is failing me, these started with a TAA-alpha prefix. If I’m guessing, I’ll say 1986 or 1987.
The very last 52’s were made in the first half of 1993 and carry a TZx-xxxx serial number. Somewhere in the Txx series, the lettering on the slide changed to match the more modern 3rd Gen style and the classic “four lines” of S&W information disappeared from the left side of the slide.
The later 52’s made in the late 80’s and early 90’s were shipped with a right side stock panel that had the ambi-cut for a decocker that no 52 ever had, this was simply a production streamlining thing as the 2nd Gen 439/539/639 pistols needed the newer stock to make room for the ambidextrous lever on the right side.