Starting from the Pulseway 6.0 all organizational tasks related to groups, sites and organization can be performed from Server Admin -> Configuration.
For example to create a new Group you will need to select the 'Add' button from the Configuration menu and place the newly created group into the Site of your choice.

once the group is created, select the 'Edit' button 

(the configuration section will become grayed out) and option to 'Move Out ' system will become available when you select the system 

once done select the system's new group from the below menu

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