There are a few options open to you if you wish to store your maps online/share online with colleagues.
Connect MindGenius to Dropbox
As of Version 6, it is possible to have MindGenius save maps to and open maps directly from cloud storage services Dropbox, OneDrive and Google Drive. Dropbox, for instance, will automatically replicate your maps to all PCs and iPads on which it is installed. That would allow you to share maps quickly and easily between your own PCs, iPads and those of colleagues.
Alternatively, if your organisation works with a SharePoint environment you can save maps to SharePoint and check maps in and out from within MindGenius.