Count of Commutative Quasigroups on Set given Count of Commutative Algebra Loops/Examples

Examples of Use of Count of Commutative Quasigroups on Set given Count of Commutative Algebra Loops

Order 3

Let $S$ have exactly $3$ elements.

There are $6$ quasigroups $\struct {S, \otimes}$ on $S$ such that $\otimes$ is a commutative operation.

Order 4

Let $S$ have exactly $4$ elements.

There are $96$ quasigroups $\struct {S, \otimes}$ on $S$ such that $\otimes$ is a commutative operation.