The Ordinal Hierarchy

A hierarchy based on ordinal classes (there’s an infinite amount of classes to account for so the list will go from smallest to biggest, and yes, this page is free to edit!
== THE HIERARCHY ==
=== classes ω - ω*2 ===
=== classes ω*2 - ω^2 ===
=== classes ω^2 - ω^^2 ===
=== classes ω^^2 - ω^^^2 ===
=== classes ω^^^2 - ω^^^^2 ===
=== classes ω^^^^2 - ω1 ===
=== classes ω1 - ωω ===
=== classes ωω - ωω*2 ===
=== classes ωω*2 - ωω^2 ===
=== classes ωω^2 - ωω^^2 ===
=== classes ωω^^2 - ωω^^^2 ===
=== classes ωω^^^2 - ωω^^^^2 ===
=== classes ωω^^^^2 - ωω1 ===
=== classes ωω1 - ωωω ===
=== classes ωωω - ωωωωω... (Ω0) ===
=== classes Ω0 - Ω0*2===
=== classes Ω0*2 - Ω0^2===
=== classes Ω0^2 - Ω0^^2===
=== classes Ω0^^2 - Ω0^^^2===
=== classes Ω0^^^2 - Ω0^^^^2===
=== classes Ω0^^^^2 - Ω0^Ω0Ω0===
=== classes Ω0^Ω0Ω0 - Ω1===
=== classes Ω1 - Ωω===
=== classes Ωω - ΩΩω===
=== classes ΩΩω - ΩΩΩΩ...===
=== classes ΩΩΩΩ... - Ω1,0===
=== classes Ω1,0 - Ω1,0,0===
=== classes Ω1,0,0 - Ω1,0,0,0===
=== classes Ω1,0,0,0 - Ω1,0,0,0,0===
=== classes Ω1,0,0,0,0 - Ω1,0,0,0,0,0===
=== classes Ω1,0,0,0,0,0 - Ω1,0,0,0,0,0,0…===