Changing how to group by

So I have a content type, "Person," that uses an entity reference to assign each Person a Program. I’m trying to make a "People" page for my site that groups the people by said program that they are in (ex. Human Resources, Engineering, Design, etc. etc.)

Screenshot of Grouping By in Drupal View

I’ve done this by grouping by Program in my View. This then spits out a header for each program in the list. That works just fine! However, some folks belong to multiple programs. What my View does then is title the header with each program. For example:

Human Resources:

  • Thad Cleveland
  • Duane Minor

Engineering:

  • Oren Sok
  • Elaine Welton

Design:

  • Tameka Radebaugh
  • Callie Smith

Engineering, Design:

  • Carlyn Beres
  • Pauline Polite

Instead I’d like it to keep each program separate and display the names twice if it needs to. Like this:

Human Resources:

  • Thad Cleveland
  • Duane Minor

Engineering:

  • Oren Sok
  • Elaine Welton
  • Carline Beres
  • Pauline Polite

Design:

  • Tameka Radebaugh
  • Callie Smith
  • Carlyn Beres
  • Pauline Polite

How can I go about configuring the view to do this?