  We survey the results regarding semi-extraspecial $p$-groups.
Semi-extraspecial groups can be viewed as generalizations of extraspecial
groups. We present the connections between semi-extraspecial groups and Camina
groups and VZ-groups, and give upper bounds on the order of the center and the
orders of abelian normal subgroups. We define ultraspecial groups to be
semi-extraspecial groups where the center is as large as possible, and
demonstrate a connection between ultraspecial groups that have at least two
abelian subgroups whose order is the maximum and semifields.
