Abstract：The cyclic group G acts on a field Fs： with 81 elements by right multiplication. This action on a subset Ω with 80 elements of F81 is transitive. We can get the orbits of maximal subgroups of the transitive group on 12. In this paper, the imprimitive sets of the orbits of maximal subgroups on Ω is given.%80阶循环群G通过右乘作用到81元域F81上，在F81的一个80个元素的子集合Ω上，产生的作用是传递的，这个传递群的极大子群在力上的轨道可以求得，现主要给出G的极大子群在Ω的轨道上的非本原集．
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