重新确定了广义超特殊p-群G的自同构群的结构. 设|G|=p^2n+m, |ζG|=p^m, 其中n ≥ 1, m ≥ 2, Aut_cG是AutG中平凡地作用在ζG上的元素形成的正规子群, 则
(i) 若p是奇素数, 则AutG=〈θ〉 Aut_cG, 其中θ 的阶是(p-1)p^m-1; 若p=2, 则 AutG=〈θ₁, θ₂〉 Aut_cG, 其中〈θ₁, θ₂〉=〈θ₁〉×〈θ₂〉Z_2^m-2 × Z₂.
(ii) 如果G的幂指数是p^m, 那么Aut_cG/InnG  Sp(2n,p).
(iii) 如果G的幂指数是p^m+1, 那么Aut_cG/InnG K  Sp(2n-2,p), 其中K是p^2n-1阶超特殊p-群(若p是奇素数)或者 初等Abel 2- 群. 特别地, 当n=1时, Aut_cG/InnG Zp.  

In this paper, the automorphism group of a generalized extraspecial p-group G is determined again, where p is a prime number. Assume that |G| = p^2n+m and |ζG| = p^m, where n ≥ 1 and m ≥ 2. Let Aut_cG be the normal subgroup of AutG consisting of all elements of AutG which act trivially on ζG. Then
(i) If p is odd, then AutG = 〈θ〉  Aut_cG, where θ is of order (p - 1)p^m-1; If p = 2, then AutG = 〈θ₁, θ₂〉 Aut_cG, where 〈θ₁, θ₂〉 = 〈θ₁〉 × 〈θ₂〉 Z_2^m-2 × Z₂.
(ii) If the exponent of G is equal to p^m, then Aut_cG/InnG Sp(2n, p).
(iii) If the exponent of G is equal to p^m+1, then Aut_cG/InnG K Sp(2n - 2, p), where K is an extraspecial p-group of order p^2n-1 (If p is odd) or an elementary abelian 2-group of order 2^2n-1. In particular, Aut_cG/InnG Zp when n = 1.