Hey there @Yelena
Group automation are rendered at the group level when exporting audio from Live, so it all depends what exactly you’d like to export.
You have to think audio signal flow : each individual track within a group sends audio output to the group input - Then the group sends audio output to the master, automation are processed before audio output at each level.
So let’s say you have a “Synths” group including 4 tracks with some automation at both individual track & group level.
If you just need the full group output as an audio stem, then you can render the group itself, all automation on the 4 tracks + automation on the group will be rendered into one stem.
But if you’d like to export each 4 individual track + group automation as stems, then you need to solo each track + the group and repeat the export process 4 times taking care of soloing the appropriate track + the group each time and then you’ll have your 4 different audio stems matching each track & their own automation + the group automation.
You also might have some processing on your master that you’d like to include in the rendered audio stem, so best practice is to solo each track + the group and select “master” in the audio export settings and repeat the process for each track in the group.
Starting from Live 10 and above, there’s also an “include return and master effects” in the audio export settings, when this is enable you can just select & choose the group track for audio export instead of the master.
More info here on Ableton website, browse through the page and after point N°9, you’ll find this “Note” followed by some explanation about those “additional steps”, but basically it’s what I already mentioned and keeping the Live 9 recommended method is what I find the most convenient.
Note: Any grouped tracks will be rendered at the group level with group effects intact,
and each individual grouped track will also be exported, without group
effects. If you used return track or group track effects, and want to
export these combined with the source clip track then you need to take
some additional steps.