Let me help you out with some ideas
The CEO of a corp can create a Conglomerate & the creator Corp's CEO is Conglomerate President
The President & directors of a Conglomerate invite corp to Conglomerate
The President of a Conglomerate wants to give his position away then he can give it to another member corp CEO
The directors of a corp that's CEO is President of the Conglomerate also have kick rights or what ever else this mechanic can do.
you could add a new "tab" to the corporation management window for Conglomerates that list each corp & who the executor corp is.
right clicking any corp would give you the options to:
Remove
Set as Executor
Have a text box for: invite corp to Conglomerate
And or allow invites to be a "right clickable" option on a corporations info window.
^^ that would be the basics i can think of atm. or perhaps you could give Conglomerates their own New button which would allow i guess for future expansion of the feature.
I have some ideas on what those features could be that have been kicking around my head for the last 2 years lol.
but I think ill need some sleep & Ms word