Splitting up a fleet

In GalCiv III, you could eject a single ship from a planet (or multiple ships that you selected).  I only see an option to "Eject All Ships" which creates a fleet consisting of all available ships.  How do you eject a single ship of your choosing?

Then for fleets, how do you split up and/or manage a fleet?  Similar to the above, how do I eject a ship from a fleet?  Is there a fleet management button I am not seeing?