User blog comment:DontDrinkH20/Some Explanations of Certain Large Cardinals/@comment-11227630-20181017041904/@comment-26428969-20181017081447

Assume GCH. The following (non-exhaustive) list is ordered by size of the least instance.

Super Reinhardt Reinhardt

totally reflecting Σm-reflecting Σ4-reflecting

ultra n-huge super n-huge almost super n-huge

extendible

strongly unfoldable superstrongly uplifting strongly uplifting unfoldable uplifting pseudo uplifting

Σ3-reflecting

super high-jump almost super high-jump

supercompact

strong

rank-into-rank

n-huge almost n-huge

hugh-jump with unbounded excess closure high-jump of order η almost high-jump of order η

Shelah-for-supercompactness Vopenka = Woodin-for-supercompactness

superstrong = high-jump-for-strongness

Shelah strong Woodin measurable Woodin ... weakly compact Woodin Woodin limit of Woodins Woodin

measurable of order κ++ measurable of order α<κ++ measurable (of order 1)

super Ramsey strongly Ramsey Ramsey almost Ramsey

ω1-Erdos ω1-iterable α-Erdos for α<ω1

remarkable

totally ineffable completly ineffable ineffable weakly ineffable

subtle ethereal

θ-indescribable ω-indescribable totally indescribable Πnm-indescribable

weakly compact

hyper-Mahlo α-Mahlo Mahlo

hyper-inaccessible α-inaccessible inaccessible

worldly of cofinality ω1 hyper-worldly α-worldly worldly