The Members tile on the organization home page takes you to the Members tab of the organization profile.
The Members tab on an organization profile contains a linked list to all the people associated with an organization. It is configurable and has two different views. Members of the organization will see a thumbnail grid:

Administrators and contributors in the organization see an ordered, linked list:

The list can be sorted by the columns by either clicking on the column name or by selecting the icon to the right of it. Sorting options are:
Name - ascending or descending
Username - ascending or descending
Role - a dropdown menu
Visibility - a dropdown menu
There is also a place to filter by display name or username, and a button to invite people to join the organization.