(. D-n and . D-n,

N. Andruskiewitsch and J. Devoto, Extensions of Hopf algebras, St. Petersburg Math. J, vol.7, issue.1, pp.17-52, 1996.

N. Andruskiewitsch and M. Müller, Examples of extensions of Hopf algebras, Rev. Colombiana Mat, vol.49, issue.1, pp.193-211, 2015.

J. Bichon and S. Natale, Hopf algebra deformations of binary polyhedral groups, Transform. Groups, vol.16, issue.2, pp.339-374, 2011.

J. Bichon, S. Neshveyev, and M. Yamashita, Graded twisting of categories and quantum groups by group actions, Ann. Inst. Fourier (Grenoble), vol.66, issue.6, pp.2299-2338, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01898601

J. Bichon, S. Neshveyev, and M. Yamashita, Graded twisting of comodule algebras and module categories, J. Noncommut. Geom, vol.12, issue.1, pp.331-368, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01898577

A. Chirvasitu, Centers, cocenters and simple quantum groups, J. Pure Appl. Algebra, vol.218, issue.8, pp.1418-1430, 2014.

A. Chirvasitu and P. Kasprzak, On the Hopf (co)center of a Hopf algebra, J. Algebra, vol.464, pp.141-174, 2016.

J. A. Dieudonné, La géométrie des groupes classiques, Troisièmeédition. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol.5, 1971.

Y. Doi, Braided bialgebras and quadratic bialgebras, Comm. Algebra, vol.21, issue.5, pp.1731-1749, 1993.

N. Fukuda, Semisimple Hopf algebras of dimension 12, Tsukuba J. Math, vol.21, issue.1, pp.43-54, 1997.

C. Galindo and Y. Morales, A five-term exact sequence for Kac cohomology, Algebra Number Theory, vol.13, issue.5, pp.1121-1144, 2019.

P. J. Hilton and U. Stammbach, A course in homological algebra, 1997.

G. I. Kac, Extensions of groups to ring groups, Math. USSR, Sb, vol.5, pp.451-474, 1969.

G. Karpilovsky, The Schur multiplier, Monographs. New Series, 2. The Clarendon Press, 1987.

Y. Kashina, Classification of semisimple Hopf algebras of dimension 16, J. Algebra, vol.232, issue.2, pp.617-663, 2000.

Y. Kashina, On semisimple Hopf algebras of dimension 2 m, Algebr. Represent. Theory, vol.6, issue.4, pp.393-425, 2003.

Y. Kashina, On semisimple Hopf algebras of dimension 2 m, Algebr. Represent. Theory, vol.II, issue.6, pp.1387-1422, 2016.

D. Kazhdan and H. Wenzl, Reconstructing monoidal categories, I. M. Gelfand Seminar, Adv. Soviet Math, vol.16, issue.2, pp.111-136, 1993.

L. Krop, On the classification of finite-dimensional semisimple Hopf algebras, Contemp. Math, vol.688, pp.181-218, 2017.

A. Masuoka, Self-dual Hopf algebras of dimension p 3 obtained by extension, J. Algebra, vol.178, issue.3, pp.791-806, 1995.

A. Masuoka, Calculations of some groups of Hopf algebra extensions, J. Algebra, vol.191, issue.2, pp.568-588, 1997.

A. Masuoka, Extensions of Hopf algebras, Trab. Math. (FAMAF), p.31, 1999.

A. Masuoka and Y. Doi, Generalization of cleft comodule algebras, Comm. Algebra, vol.20, issue.12, pp.3703-3721, 1992.

S. Montgomery, Hopf algebras and their actions on rings, 1993.

S. Natale, On semisimple Hopf algebras of dimension pq 2, J. Algebra, vol.221, issue.1, pp.242-278, 1999.

S. Neshveyev and M. Yamashita, Twisting the q-deformations of compact semisimple Lie groups, J. Math. Soc. Japan, vol.67, issue.2, pp.637-662, 2015.

P. Podle?, Symmetries of quantum spaces. Subgroups and quotient spaces of quantum SU(2) and SO(3) groups, Comm. Math. Phys, vol.170, issue.1, pp.1-20, 1995.

H. J. Schneider, Normal basis and transitivity of crossed products for Hopf algebras, J. Algebra, vol.152, issue.2, pp.289-312, 1992.

J. J. Zhang, Twisted graded algebras and equivalences of graded categories, Proc. London Math. Soc, vol.72, issue.2, pp.281-311, 1996.

. Université-clermont-auvergne, L. Cnrs, F. , and F. E. , -mail address: julien.bichon@uca.fr E-mail address: maeva