Moufang loops of order 64

From Groupprops
Jump to: navigation, search
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 64.
See pages on algebraic structures of order 64|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 Value for all Moufang loops
Total number up to isomorphism 267 4262 4529
Number up to isomorphism that are commutative 11 0 11
Number up to isomorphism that have nilpotency class exactly two 117 3727 3844
Number up to isomorphism that have nilpotency class exactly three 114 518 632
Number up to isomorphism that have nilpotency class exactly four 22 17 39
Number up to isomorphism that have nilpotency class exactly five 3 0 3
To understand these in a broader context, see Moufang loops of order 2^n | Moufang loops of prime-sixth order