Create flyout group and add it to the command group toolbar

I created a flyout group using ICommandManager.CreateFlyoutGroup2 and need to place it inside the toolbar. I can place it on Command Manager tab, but I need it on the toolbar.

Is there any suggestions how to do that using API? This can be done manually, but I want to do that via API.

Here is a picture of wanted result:

Thanks

SolidworksApi/macros