Hypercharge and isospin are other quantum properties associated with the weak force.
These properties are defined as:

hypercharge = strangeness + baryon number

isospin = charge - hypercharge / 2

As a symmetrical particle chart could not be created using strangeness, hypercharge or isospin, I have defined a quantized property that seems to be more fundamentally associated with the weak force.

weakness = strangeness + baryon number - charge

The Potter Atomic Particles Chart plots the long-lived atomic particles in terms of three quantum properties, baryon number, charge, and a variation of hyper-charge, that I call "weakness", and "neutrino number".

The "Baryon Axis" indicates the baryon number composition of the particles, minus one for the bottom group, zero for the middle group, and plus one for the top group.

The "Charge Axis" indicates the electrical charge composition of the particles, minus one for the left group, zero for the middle group, and plus one for the right group.

The "Weakness Axis" indicates what I call the "neutrino number" composition of the particles, minus one for the bottom cell, zero for the middle cell, and plus one for the top cell, in each group.

Note that the photon is at the center of the chart, and that the chart could be extended to include atoms and molecules. For example, the hydrogen atom could be plotted as the summation of the properties of a proton and an electron. If the chart were extended to include atoms and molecules, it would extend upwards and be skewed to the right. The shape of the extended chart, and the lifetimes of the particles it contains provides a great insight into the stability of various combinations of the quantum properties that make up our part of the universe.

Editorial
I suggest that fundamental reality consists of properties, rather than particles. If you recursively examine the intensions of any particle, you end up with a small set of orthogonal, bi-polar, quantum properties such as charge, baryon number and hypercharge. The properties are orthogonal, in that each of the properties is independent of the others. They are bi-polar, in that they can exist in a clockwise or a counter-clockwise sense. They are quantum, in that they can be counted.

Charge, baryon number and weakness seem to be fundamental units of bipolar angular displacements. The bipolarity seems to relate to clockwise or counterclockwise angular displacement, while the differences in charge, baryon number and weakness seems to be related to topology or orientation.