From the website of the British Egg Information Service:
[Q1] Where should I store eggs?
[A1] For optimum freshness and food safety, eggs should be kept at a constant temperature below 20°C. To avoid the typical temperature fluctuations in a domestic kitchen, we recommend that eggs are stored in their box in the fridge. See our egg storage and handling page for more information.
[Q2] Why aren’t eggs refrigerated in supermarkets?
[A2] Most modern supermarkets are kept below 20°C so it is not necessary for retailers to refrigerate their eggs. Not refrigerating eggs in store also prevents significant temperature fluctuations (for example eggs being moved from a fridge to a hot car after purchase).
Source:
https://www.egginfo.co.uk/egg-facts-and-figures/faqs