A class sits one level above a option-series. All XYZ calls form one class; all XYZ puts form another. Exchanges set trading rules, position-limits and exercise-limits at the class level, not per strike.
The distinction matters when a broker or exchange restricts something. A halt or an opening rotation applies to the class, so every XYZ call series stops quoting at once, not just the one you were watching.
Example: XYZ has weeklies, monthlies and leaps listed, with 60 strikes in each of 12 expirations. That is roughly 720 call series, but only one call class. A 25,000-contract position limit applies to your combined exposure across all 720 lines, not to each one separately.
Related: option-series, position-limit, options-chain