Embedded Layout - cannot change channel


isn’t there any possibility to change the channel (priv. group) in the embedded layout? I noticed that if you type the # in the inputfield, a list of channels appears. And if I click on a channelname, the channel appears in the contentarea. If you click on the “channel” now, you will change to the channel - so it’s possible in the embedded layout.

But why isn’t there an icon or a button that the user can change to an other channel?

Thanks for help,