dihedral group; Moufang loop; cyclic extension; semidirect product
This paper completely solves the isomorphism problem for Moufang loops $Q = GC$ where $G\unlhd Q$ is a noncommutative group with cyclic subgroup of index two and $|Z(G)| \le 2$, $C$ is cyclic, $G\cap C = 1$, and $Q$ is finite of order coprime to three.
 Gagola S.hM., III: Describing cyclic extensions of Bol loops
. Quasigroups and Related Systems 23 (2015), 31–39. MR 3353111
| Zbl 1328.20084
 Goodaire E.R., May S., Raman M.: The Moufang Loops of Order Less Than 64
. Nova Science Publishers, Inc., Commack, NY, 1999. MR 1689624
| Zbl 0964.20043