Moufang loops of order 32

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 32.
See pages on algebraic structures of order 32|See pages on Moufang loops of a particular order

Statistics at a glance

Quantity	Value for groups	Value for Moufang loops that are not groups	Total for Moufang loops
Total number up to isomorphism	51	71	122
Number up to isomorphism that are commutative	7	0	7
Number up to isomorphism that have nilpotency class exactly two	26	54	80
Number up to isomorphism that have nilpotency class exactly three	15	17	32
Number up to isomorphism that have nilpotency class exactly four	3	0	3

To understand these in a broader context, see Moufang loops of order 2^n | Moufang loops of prime-fifth order

This article concentrates on the Moufang loops of order 32 that are not groups. For a discussion of the groups, see groups of order 32.