Can someone help me

[KangJL]

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How to display another name than infinityFree on google search?

Welcome If you have a free subdomain and are talking about the topmost text that says “InfinityFree” / “Epizy” / etc, that is controlled by google, is based off the base domain name, and cannot be changed. You would have to buy your own custom domain (.com can be as cheap as $11 for a year) and add it to your hosting account and to Google.

In short, get your own domain