Moufang loops of order 16

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This article gives information about, and links to more details on, algebraic structures of the type Moufang loop whose order (i.e., the size of the underlying set) is 16.
See pages on algebraic structures of order 16|See pages on Moufang loops of a particular order
To understand these in a broader context, see Moufang loops of order 2^n | Moufang loops of prime-fourth order

This article describes the Moufang loops of order 16. There is a total of 19 Moufang loops up to isomorphism. Of these, 14 are groups, and these are completely described in groups of order 16. The remaining 5 are discussed in this article.

Moufang loop Second part of ID in loops package on GAP Nilpotency class of loop
MoufangLoop(16,1) 1 2
MoufangLoop(16,2) 2 2
octonion loop 3 2
MoufangLoop(16,4) 4 2
MoufangLoop(16,5) 5 2