Chord homonym
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A chord's homonym has the same notes, but a different root. Analogous to how various modes of a scale have the same notes, but a different tonic.
Examples: C6 and Am7 are homonyms, as are C4 and F2.
In theory, every triad has two homonyms, every tetrad has three, etc. However, most homonyms are implausible. For example, an E minor flat-6 no-5 chord would generally be heard as a C major chord in first inversion.
Most pentads and hexads have at least one plausible homonym.