  In this paper, we examine the modal aspects of higher groups in Shulman's
Cohesive Homotopy Type Theory. We show that every higher group sits within a
modal fracture hexagon which renders it into its discrete, infinitesimal, and
contractible components. This gives an unstable and synthetic construction of
Schreiber's differential cohomology hexagon. As an example of this modal
fracture hexagon, we recover the character diagram characterizing ordinary
differential cohomology by its relation to its underlying integral cohomology
and differential form data, although there is a subtle obstruction to
generalizing the usual hexagon to higher types. Assuming the existence of a
long exact sequence of differential form classifiers, we construct the
classifiers for circle k-gerbes with connection and describe their modal
fracture hexagon.
