Constructing a Cayley table of order 4 involves creating a table that illustrates the group operation for a set with 4 elements. To set up a Cayley table of order 4, first identify a set with 4 elements and choose a binary operation for those elements. Then create a 4x4 table where the rows and columns are labeled with the elements and the entries show the result of applying the binary operation to each combination of elements.

1. Cayley Table

2. Constructing Cayley Table Order 4
Constructing a Cayley table of order 4 means
creating a table that illustrates the group
operation for a set with 4 elements. This kind of
table can be useful when working with small
groups or for finding subgroups in more
complex groups. The fundamental steps for
constructing a Cayley table order 4 remain the
same as constructing any Cayley table; you
only need to adapt the size and elements of the
group.

3. How to set up a Cayley table order 4
To create an order 4 Cayley table, first, identify a set with 4
elements and then choose an appropriate binary operation to
be applied to those elements. Once you have these, follow
these steps: