Geodesic
A class of finite groups with Abelian centralizer of an element of order~$3$ of type $(3,2,2)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 117-137

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In this work, we study the structure of finite groups in which the centralizer of an element of order $3$ is isomorphic to $\mathbb Z_3\times\mathbb Z_2\times\mathbb Z_2$. The analysis is restricted to the class of groups whose order is not divisible by the prime number $5$. It is shown that among finite simple groups such groups do not exist, and a detailed possible internal general structure of such groups is investigated. We use only those results that have been published before 1980. 
@article{FPM_2013_18_3_a7,
     author = {V. I. Loginov},
     title = {A class of finite groups with {Abelian} centralizer of an element of order~$3$ of type $(3,2,2)$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {117--137},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a7/}
}
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V. I. Loginov. A class of finite groups with Abelian centralizer of an element of order~$3$ of type $(3,2,2)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 117-137. http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a7/