Question

State the number of co-sets of $\mathit{k}$in${\mathit{S}}_{\mathbf{4}}$ . Don't list them.

Short answer

6 co-sets of$k$ in $S_4$.

Step-by-step solution

Determine co-sets of k

Here,$k$ has 4 elements and$S_4$ has 24 elements.

Result

By Lagrange’s theorem, the co-sets are,

$k=\frac{24}{4}=6$in $S_4$.

Thus, there are 6 co-sets.