Some degrees of the irreducible characters of affine subgroups of symplectic groups

Let $SP(n,q)$ be a symplectic group acting on the natural vector space of
dimension $n$ over a finite field, and let $H(n)$ be the subgroup which fix a non-zero
vector of the underlying space. We will call such subgroup affine subgroup
of symplectic group. Using a certain method enables us to compute the characters $H(n)$.
This method is due to B.Fischer and is applicable to any group extensions
$H=V.G$ provided that every irreducible character of $V$ extends to an irreducible
character of its inertia group. This is the case for affine subgroups of symplectic group.

In this paper, we first give a description of the affine subgroups for
symplectic group and find the inertia groups. Then using Fischer matrices,
we find some degrees of irreducible characters of affine subgroups
of symplectic group.