In this paper, we give a mathbb Z2×Z2 action on the set of all Hessenberg systems. We discuss the isomorphism and the affine transformation of sharp Hessenberg system. Finally, for a given sharp Hessenberg system Ф, we calculate the parameter arrays of its relatives.%本文讨论Z2×Z2在全体海森伯格系统所组成的集合上的一个群作用，研究尖锐的海森伯格系统的同构和仿射变换同构，并计算尖锐的海森伯格系统及与其相关的系统的参数阵列。
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