Geodesic
Symmetric $X_9$ Singularities and Complex Affine Reflection Groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 1, Tome 258 (2007), pp. 49-57

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We establish a natural correspondence between the finite order automorphisms of the function singularities $X_9$ and the complex crystallographic groups. A complete list of the related objects is obtained. 
@article{TM_2007_258_a4,
     author = {V. V. Goryunov},
     title = {Symmetric $X_9$ {Singularities} and {Complex} {Affine} {Reflection} {Groups}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {49--57},
     publisher = {mathdoc},
     volume = {258},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2007_258_a4/}
}
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V. V. Goryunov. Symmetric $X_9$ Singularities and Complex Affine Reflection Groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 1, Tome 258 (2007), pp. 49-57. http://geodesic.mathdoc.fr/item/TM_2007_258_a4/