Thsi afternoon I got out into the workshop/garage to have a look at my chuck and jaws.
No idea about the chuck, sorry. One thing I did notice, my chuck key has the manufactureres name set in the cast T handle.
The jaws looked very similar to mine, Record SC3/4 type, not identical but looks close enough to be a fit. I checked the dimensions against yours and they match. I also thought to measure the diameter of the rebate, jaws off, chuck wound fully closed, diameter across rebate - outside edge to outside edge - is 52.6mm. If yours matches that it should mean the radius/curvature of the rebate is the same as well as the fixing holes and the rebate width so a very good chance record power or compatibles will fit.
All the manufacturers say you must use their jaws with their chucks, might be a liability thing. Hard if you don't know what your chuck is.
Some notes on record power if they do fit.. SC3 and SC4 use the same jaws, SC1 and SC2 are mini chucks and differ. Some jaws only have one fixing hole per jaw, when you think of it it has to be like that for ones that are smaller. The relevant part of their website is below. If you click on any jaw - I suggest the standard 50 - and see the tabs below, downloads will let you get a full pdf list of all their jaws. We all have different needs/wants. I own the 50 that came with the chuck originally, the 35 because I was doing a fair few small bowls, the 9mm pin jaws (pin, not pen) which is good for all sorts of things and recently the smaller set of coles/button jaws which was a gift and replaced a home made equivalent. I use them all from time to time and between them there are no real 'gaps' in coverage. Everyone will have their own needs.
https://www.recordpower.co.uk/category/chucking-systems-jaws--spares
Although it looks like a strong match, it might be rash to go out and spend money until you are really sure its the right thing. Good luck.
( a post script, is the indexing plate on the back of your chuck an optional add on, and might taking it off reveal a manufacturers name underneath?)