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GalCiv3 Forums
Is it possible to share custom races at this point by just putting the custom race file on a shared site or does it require the custom images/backgrounds/logos with it? Don't know if anyone knows 
Depends in the method you created a custom race.
In case of ingame editor, right now you have to move those custom images/backgrounds/logos to the game's folder.
In case of creating the custom faction through the method display in the following thread:
https://forums.galciv3.com/461766/page/1/
You can archive and share the whole directory.
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