The Table Of Elementary Quantum Particles

I think discovery of the Periodic Table (PT) of chemical elements, allowed accurate prediction of many new/unknown elements and their various properties. (If we are given, only atomic number and mass number of an element, can we accurately predict all its properties (nuclear, chemical, physical, electric, magnetic), using only Quantum Mechanics?) So the set of all chemical elements clearly have a basic (and standard) order (PT)! But there are also many known (and useful) alternative periodic tables (APT). (Isn't there any precise (and unique) mathematical/geometric object/structure/group/graph for the set of all chemical elements other than various table structures?) (And if so, then that object can explain all basic properties of all elements?) So we could say, the order of the set of all chemical elements is not really unique!

Do we really have any true equivalent of PT/APT for elementary quantum particles (of Standard Model)? I think the answer is really no! Because we could not found any clear order for energy/mass of elementary quantum particles, so far!

I think if there is truly no order (can we ever hope to prove that mathematically?), then it could be viewed as a sign of multiverse (or Intelligent Design?)! And if there is an order and its unique, then it could be viewed as a sign of natural inevitability of our reality/universe. My guess is, it will turn out similar to PT/APT situation of the set of all chemical elements (a non-unique order)!

What we can do to find it/them, if really exist?

I think as a first step, we should try to create a basic (and standard) table for elementary quantum particles. It needs to be sorted by particle (rest) energy (since we are trying to explain order of that primarily), and it surely needs to be simplified using Planck Units.

Here is a proposal for a basic (and standard) table of elementary quantum particles:

Column 0: Name/symbol of the elementary particle

Column 1: Compton Wavelength of the elementary particle in Planck Length Units

Column 2: Corresponding Compton Frequency of the elementary particle

Column 3: Is the elementary particle have rest mass?: Y/N

Column 4: Electric Charge (in Electron Charge units) (Or, is there a Planck unit for electric charge?)

Column 5: Spin

Column 6: Color Charge

(Table needs to be sorted (ascending/descending) by column 1 values, by default.)

https://en.wikipedia.org/wiki/Chemical_element
https://en.wikipedia.org/wiki/List_of_chemical_elements
https://en.wikipedia.org/wiki/Atomic_number
https://en.wikipedia.org/wiki/Mass_number
https://en.wikipedia.org/wiki/Periodic_table
https://en.wikipedia.org/wiki/Alternative_periodic_tables
https://en.wikipedia.org/wiki/Standard_Model