It is actually a modified version of the transgender symbol, which you can find here:
According to that page, the author has their WikiPedia page here: https://commons.wikimedia.org/wiki/User:ParaDox
That logo is released under Creative Commons Attribution ShareAlike 2.5 license which you can see here:
Therefore, the TransChat logo as a derivative work is released under the same terms! Share and adapt it for your own purposes, per the above terms. TransChat does not believe in ownership of knowledge, or of creative works generally. Free culture, free society!
The trans flag is public domain. See: https://commons.wikimedia.org/wiki/File:Transgender_Pride_flag.svg
Markdown file for this page: https://trans.chat/logo-license.md
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