How to move a connection to a new group?

[HippoMan]

I'm running TeamViewer 14.5.1691 under Linux.

I have a number of connections set up, and some of them appear in the "My Computers" group.
I want to move some of them to another group, which I am calling "Local". I have been
unable to find a way to do this, neither in the Linux TeamViewer GUI, nor via the TeamViewer
web site.

I can show the "Properties" of each of these connections, and the name of the group is shown.
However, those properties are greyed out and do not permit changes.

Is there any way I can move these connections to a new group?

Thank you very much.