  A considerable amount of the standard model's three-generation structure can
be realised from just the $8\hspace{.3mm}\mathbb{C}$-dimensional algebra of the
complex octonions. Indeed, it is a little-known fact that the complex octonions
can generate on their own a $64\hspace{.3mm}\mathbb{C}$-dimensional space. Here
we identify an $su(3)\oplus u(1)$ action which splits this
$64\hspace{.3mm}\mathbb{C}$-dimensional space into complexified generators of
$SU(3)$, together with 48 states. These 48 states exhibit the behaviour of
exactly three generations of quarks and leptons under the standard model's two
unbroken gauge symmetries. This article builds on a previous one, [1], by
incorporating electric charge.
  Finally, we close this discussion by outlining a proposal for how the
standard model's full set of states might be identified within the left action
maps of $\mathbb{R}\otimes\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$ (the
Clifford algebra $\mathbb{C} l(8)$). Our aim is to include not only the
standard model's three generations of quarks and leptons, but also its gauge
bosons.
