Yes, we have one reservation for 4 people to hike. So we weren't sure if the group could split up or if that would leave some of the group without a proper permit. Does each individual receive something saying they have permission to be up there? Or does just the one permit holder receive something saying they have 4 people in their party that have permission to climb?
Sorry for the confusion, I can't find specific information on this.
As noted earlier, being the "group leader" you need to sign the actual permit form at the Visitor Center. That form will indicate that you have 4 people in your group. By signing the permit form you are legally agreeing to abide by the Forest Service rules and to be responsible for the actions of the other group members.
Unfortunately the permit reservation process has morphed so much over the years that the word "permit" is ambiguous in the reference material. Think of it as a lodging agreement to rent a condominium.
