Geodesic
Central and medial quasigroups of small order
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2016), pp. 24-40

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We enumerate central and medial quasigroups of order less than $128$ up to isomorphism, with the exception of those quasigroups that are isotopic to $C_4\times C_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group. 
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David Stanovský; Petr Vojtěchovský. Central and medial quasigroups of small order. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2016), pp. 24-40. http://geodesic.mathdoc.fr/item/BASM_2016_1_a2/