Im quite sure there is no such thing as a P tire with a load range E. An E load tire would be at least LT rated. Some LTs are 6 ply and some up to 10 ply to take the higher air pressure required for higher load rating.
I found out certain "cargo van size" tires are available in C (commercial) which is higher load rating than LT "E" tires.
Ive been running LT tires on work vans for many years. I believe the XL rating is a bit lighter load than LT (light truck).
From memory:
P lightest (passenger car)
XL intermediate
LT light truck (load range E)
C commercial
Ah ..... Mmmmm ...... I guess I have explain this
Ya' see, there are 2 parallel systems here. A US version and a European one.
In the US version, Passenger car tires have the letter "P" in front of the numbers. Those come in Standard Load (SL = 35 psi rated pressure) and Extra Load (XL = 41 psi rated pressure), the increase in rated pressures allowing more load carrying capacity. These are called P metric tires.
Please note that the rated pressure is different than the max pressure.
LT metric tires are US based. They have the letters "LT" in front of the size. They come in Load Ranges (C = 6 ply Rating, 50 psi rated, D = 8 PR, 65 psi, and E = 10 PR, 80 psi). These carry even more load, because of the higher rated pressures.
Truck/Bus in the US system don't have letters, but also come in Load Ranges (F = 12 PR, 95 psi, G = 14 PR, 110 psi, H, = 16 PR, 125 psi, etc.) And even more load!
In the European system, passenger car tires don't have letters. They also come in Standard Load (SL = 250 kPa = 36.3 psi), and Extra Load (XL aka as Reinforced = 290 kPa, 42.0 psi). These are 100% interchangeable with P metric sizes. These are usually called Eurometric or Metric.
The Europeans don't have LT tires. In their system, they have Commercial type tires with the letter "C" appearing after the size. They don't come in Load Ranges. They use a different system utilizing "Load Index", which directly relates to the Max Load, however, tires come in a variety of Load Indices with appropriate rated inflation pressures, kind of analogous to Load Range.
European Truck/Bus tires also appear in the Commercial section with that Load Index system, but still with the analogous to load Range variety of Load Indices.
You will find many tire retailers mashing those 2 systems together to help tires buyers - but what they really do is confuse things.
Why the different systems? Because of history. These 2 systems developed independently of each other at a time where there wasn't much shipping between continents - unlike today, where the tire industry is truly global in nature. And there is a lot of "Not Invented Here!" going on.
I go into more detail here:
Barry's Tire Tech: Tire Standardizing Organizations
Barry's Tire Tech: Other Types of Tires