  In this paper, we study the structure and representation of a $6A$-algebra
which is a vertex operator algebra generated by two Ising vectors $e,f$ with
inner product $\left\langle e,f\right\rangle =\frac{5}{2^{10}}.$ In particular,
we prove the uniqueness of the vertex operator algebra structure of this
6A-algebra, classify the irreducible modules, and determine the fusion rules.
