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  1. ; ; ; ; (, Journal of Group Theory)
    Abstract Let 𝐺 be a finite solvable permutation group acting faithfully and primitively on a finite set Ω.Let G 0 G_{0}be the stabilizer of a point 𝛼 in Ω.The rank of 𝐺 is defined as the number of orbits of G 0 G_{0}in Ω, including the trivial orbit { α } \{\alpha\}.In this paper, we completely classify the cases where 𝐺 has rank 5 and 6, continuing the previous works on classifying groups of rank 4 or lower. 
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