\begin{thebibliography}{GMR99}

\bibitem[Art59]{Ar}
R.~Artzy.
\newblock On automorphic-inverse properties in loops.
\newblock {\em Proc. Amer. Math. Soc.}, 10:588{\textendash}591, 1959.

\bibitem[Art15]{Artic}
K.~Artic.
\newblock {\em On conjugacy closed loops and conjugacy closed loop folders}.
\newblock PhD thesis, RWTH Aachen University, 2015.

\bibitem[Bru58]{Br}
R.~H. Bruck.
\newblock {\em A survey of binary systems}.
\newblock Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft
  20. Reihe: Gruppentheorie. Springer Verlag, Berlin, 1958.

\bibitem[CD05]{CsDr}
P.~Cs{\"o}rg{\H o} and A.~Dr{\a'a}pal.
\newblock Left conjugacy closed loops of nilpotency class two.
\newblock {\em Results Math.}, 47(3-4):242{\textendash}265, 2005.

\bibitem[CR99]{CoRo}
C.~J. Colbourn and A.~Rosa.
\newblock {\em Triple systems}.
\newblock Oxford Mathematical Monographs. The Clarendon Press Oxford University
  Press, New York, 1999.

\bibitem[Dr{\a'a}03]{DrapalCD}
A.~Dr{\a'a}pal.
\newblock Cyclic and dihedral constructions of even order.
\newblock {\em Comment. Math. Univ. Carolin.}, 44(4):593{\textendash}614, 2003.

\bibitem[DV06]{DrVo}
A.~Dr{\a'a}pal and P.~Vojt{\v e}chovsk{\a'y}.
\newblock Moufang loops that share associator and three quarters of their
  multiplication tables.
\newblock {\em Rocky Mountain J. Math.}, 36(2):425{\textendash}455, 2006.

\bibitem[DV09]{DaVo}
D.~Daly and P.~Vojt{\v e}chovsk{\a'y}.
\newblock Enumeration of nilpotent loops via cohomology.
\newblock {\em J. Algebra}, 322(11):4080{\textendash}4098, 2009.

\bibitem[Fen69]{Fe}
F.~Fenyves.
\newblock Extra loops. {II}. {O}n loops with identities of {B}ol-{M}oufang
  type.
\newblock {\em Publ. Math. Debrecen}, 16:187{\textendash}192, 1969.

\bibitem[GMR99]{Go}
E.~G. Goodaire, S.~May, and M.~Raman.
\newblock {\em The {M}oufang loops of order less than 64}.
\newblock Nova Science Publishers Inc., Commack, NY, 1999.

\bibitem[JM96]{JaMa}
M.~T. Jacobson and P.~Matthews.
\newblock Generating uniformly distributed random {L}atin squares.
\newblock {\em J. Combin. Des.}, 4(6):405{\textendash}437, 1996.

\bibitem[KKP02]{KiKuPh}
M.~K. Kinyon, K.~Kunen, and J.~D. Phillips.
\newblock Every diassociative {$A$}-loop is {M}oufang.
\newblock {\em Proc. Amer. Math. Soc.}, 130(3):619{\textendash}624, 2002.

\bibitem[KNV15]{KiNaVo2015}
M.~K. Kinyon, G.~P. Nagy, and P.~Vojt{\v e}chovsk{\a'y}.
\newblock Bol loops and bruck loops of order $pq$.
\newblock 2015.
\newblock preprint.

\bibitem[Kun00]{Kun}
K.~Kunen.
\newblock The structure of conjugacy closed loops.
\newblock {\em Trans. Amer. Math. Soc.}, 352(6):2889{\textendash}2911, 2000.

\bibitem[Lie87]{Li}
M.~W. Liebeck.
\newblock The classification of finite simple {M}oufang loops.
\newblock {\em Math. Proc. Cambridge Philos. Soc.}, 102(1):33{\textendash}47,
  1987.

\bibitem[Moo]{Mo}
G.~E. Moorhouse.
\newblock Bol loops of small order.
\newblock http://www.uwyo.edu/moorhouse/pub/bol/.

\bibitem[NV03]{NaVo2003}
G.~P. Nagy and P.~Vojt{\v e}chovsk{\a'y}.
\newblock Octonions, simple {M}oufang loops and triality.
\newblock {\em Quasigroups Related Systems}, 10:65{\textendash}94, 2003.

\bibitem[NV07]{NaVo2007}
G.~P. Nagy and P.~Vojt{\v e}chovsk{\a'y}.
\newblock The {M}oufang loops of order 64 and 81.
\newblock {\em J. Symbolic Comput.}, 42(9):871{\textendash}883, 2007.

\bibitem[Pfl90]{Pf}
H.~O. Pflugfelder.
\newblock {\em Quasigroups and loops: introduction}, volume~7 of {\em Sigma
  Series in Pure Mathematics}.
\newblock Heldermann Verlag, Berlin, 1990.

\bibitem[PV05]{PhiVoj}
J.~D. Phillips and P.~Vojt{\v e}chovsk{\a'y}.
\newblock The varieties of loops of {B}ol-{M}oufang type.
\newblock {\em Algebra Universalis}, 54(3):259{\textendash}271, 2005.

\bibitem[SZ12]{SlZe2011}
M.~Slattery and A.~Zenisek.
\newblock Moufang loops of order 243.
\newblock {\em Commentationes Mathematicae Universitatis Carolinae},
  53(3):423{\textendash}428, 2012.

\bibitem[Voj06]{Vo}
P.~Vojt{\v e}chovsk{\a'y}.
\newblock Toward the classification of {M}oufang loops of order 64.
\newblock {\em European J. Combin.}, 27(3):444{\textendash}460, 2006.

\bibitem[WJ75]{Wi}
R.~L. Wilson~Jr.
\newblock Quasidirect products of quasigroups.
\newblock {\em Comm. Algebra}, 3(9):835{\textendash}850, 1975.

\end{thebibliography}
