Copado Essentials supports deployment of groups. Selection of group deployments can be done via Add Component > Component Type > Group.
Salesforce, however, does not support deployments of Group members, as indicated by the article below.
βhttps://help.salesforce.com/articleView?id=000233602&language=en_US&type=1
The only option given by Salesforce is to use the Data Loader by following the steps detailed in the link below:
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βhttps://help.salesforce.com/articleView?id=000004831&language=en_US&type=1