We show that, if the representation group R of a slim dense near hexagon
S is non-abelian, then R is of exponent 4 and ∣R∣=2β,
1+NPdim(S)≤β≤1+dimV(S), where NPdim(S) is the near polygon
embedding dimension of S and dimV(S) is the dimension of the universal
representation module V(S) of S. Further, if β=1+NPdim(S), then R
is an extraspecial 2-group (Theorem 1.6)