The Button Group component is simply easing the process of aligning and organizing a group of buttons' layout vertically or horizontally. Each button has it's own actions, and nothing functionally ties it up with other buttons except the layout.
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In the Button group's properties, you can set the buttons' layout horizontally or vertically depending on the design you need.
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There are no actions for the Button Group container. It functions as just a container. however you can add actions to each button inside it separately. For example, you can add actions such as Run Operations, Export Data, Open an overlay, Copy to clipboard, Send an email, Run a workflow, Navigate to a page and others.