References
  
  [Art15]  Artic,  K.,  On  conjugacy  closed  loops and conjugacy closed loop
  folders, Ph.D. thesis, RWTH Aachen University (2015).
  
  [Art59]  Artzy,  R., On automorphic-inverse properties in loops, Proc. Amer.
  Math. Soc., 10 (1959), 588–591.
  
  [Bru58]  Bruck,  R.  H.,  A  survey  of  binary  systems,  Springer  Verlag,
  Ergebnisse  der  Mathematik  und  ihrer  Grenzgebiete.  Neue Folge, Heft 20.
  Reihe: Gruppentheorie, Berlin (1958), viii+185 pages.
  
  [BP56]  Bruck,  R.  H.  and  Paige,  L.  J.,  Loops whose inner mappings are
  automorphisms, Ann. of Math. (2), 63 (1956), 308–323.
  
  [CR99]  Colbourn,  C.  J.  and Rosa, A., Triple systems, The Clarendon Press
  Oxford  University  Press,  Oxford Mathematical Monographs, New York (1999),
  xvi+560 pages.
  
  [CD05]  Csörgő, P. and Drápal, A., Left conjugacy closed loops of nilpotency
  class two, Results Math., 47, 3-4 (2005), 242–265.
  
  [DV09]  Daly,  D.  and  Vojtěchovský, P., Enumeration of nilpotent loops via
  cohomology, J. Algebra, 322, 11 (2009), 4080–4098.
  
  [BGV12]  De Barros, D. A. S., Grishkov, A. and Vojtěchovský, P., Commutative
  automorphic loops of order p^3, J. Algebra Appl., 11, 5 (2012), 1250100, 15.
  
  [Drá03]  Drápal,  A.,  Cyclic  and  dihedral  constructions  of  even order,
  Comment. Math. Univ. Carolin., 44, 4 (2003), 593–614.
  
  [DV06]  Drápal, A. and Vojtěchovský, P., Moufang loops that share associator
  and  three quarters of their multiplication tables, Rocky Mountain J. Math.,
  36, 2 (2006), 425–455.
  
  [Fen69]   Fenyves,  F.,  Extra  loops.  II.  On  loops  with  identities  of
  Bol-Moufang type, Publ. Math. Debrecen, 16 (1969), 187–192.
  
  [GMR99]  Goodaire,  E. G., May, S. and Raman, M., The Moufang loops of order
  less  than  64,  Nova Science Publishers Inc., Commack, NY (1999), xviii+287
  pages.
  
  [GKN14] Grishkov, A., Kinyon, M. and Nagy, G. P., Solvability of commutative
  automorphic loops, Proc. Amer. Math. Soc., 142, 9 (2014), 3029–3037.
  
  [JM96]  Jacobson,  M.  T. and Matthews, P., Generating uniformly distributed
  random Latin squares, J. Combin. Des., 4, 6 (1996), 405–437.
  
  [JKV12]  Jedlička,  P.,  Kinyon,  M.  and  Vojtěchovský,  P.,  Nilpotency in
  automorphic loops of prime power order, J. Algebra, 350 (2012), 64–76.
  
  [JKNV11]  Johnson,  K.  W., Kinyon, M. K., Nagy, G. P. and Vojtěchovský, P.,
  Searching  for  small  simple  automorphic  loops,  LMS J. Comput. Math., 14
  (2011), 200–213.
  
  [KKP02]  Kinyon,  M.  K., Kunen, K. and Phillips, J. D., Every diassociative
  A-loop is Moufang, Proc. Amer. Math. Soc., 130, 3 (2002), 619–624.
  
  [KKPV16] Kinyon, M. K., Kunen, K., Phillips, J. D. and Vojtěchovský, P., The
  structure  of  automorphic  loops,  Trans. Amer. Math. Soc., 368, 12 (2016),
  8901–8927.
  
  [KNV15] Kinyon, M. K., Nagy, G. P. and Vojtěchovský, P., Bol loops and Bruck
  loops of order pq,  (2015), ((preprint)).
  
  [Kun00]  Kunen,  K.,  The  structure of conjugacy closed loops, Trans. Amer.
  Math. Soc., 352, 6 (2000), 2889–2911.
  
  [Lie87]  Liebeck,  M. W., The classification of finite simple Moufang loops,
  Math. Proc. Cambridge Philos. Soc., 102, 1 (1987), 33–47.
  
  [Moo]     Moorhouse,     G.     E.,    Bol    loops    of    small    order,
  ((http://www.uwyo.edu/moorhouse/pub/bol/)).
  
  [NV03] Nagy, G. P. and Vojtěchovský, P., Octonions, simple Moufang loops and
  triality, Quasigroups Related Systems, 10 (2003), 65–94.
  
  [NV07]  Nagy,  G. P. and Vojtěchovský, P., The Moufang loops of order 64 and
  81, J. Symbolic Comput., 42, 9 (2007), 871–883.
  
  [Pfl90]  Pflugfelder, H. O., Quasigroups and loops: introduction, Heldermann
  Verlag, Sigma Series in Pure Mathematics, 7, Berlin (1990), viii+147 pages.
  
  [PV05]  Phillips,  J.  D.  and  Vojtěchovský,  P., The varieties of loops of
  Bol-Moufang type, Algebra Universalis, 54, 3 (2005), 259–271.
  
  [SZ12]   Slattery,   M.  and  Zenisek,  A.,  Moufang  loops  of  order  243,
  Commentationes Mathematicae Universitatis Carolinae, 53, 3 (2012), 423–428.
  
  [Voj06]  Vojtěchovský,  P.,  Toward  the  classification of Moufang loops of
  order 64, European J. Combin., 27, 3 (2006), 444–460.
  
  [Voj15]  Vojtěchovský,  P., Three lectures on automorphic loops, Quasigroups
  Related Systems, 23, 1 (2015), 129–163.
  
  [WJ75]  Wilson  Jr.,  R.  L.,  Quasidirect  products  of  quasigroups, Comm.
  Algebra, 3, 9 (1975), 835–850.