Topic: Inverted Chords
Main triad = 1-3-5 where 1 is the root and the bass.
First inversion = 3-5-1 (3 is the bass)
Second inversion = 5-1-3 (5 is the bass).
Assuming the above is true, there are two other possible combinations: 3-1-5 and 5-3-1.
My guess would be 3-1-5 is still called a first inversion and 5-3-1 is still called a second inversion.
In other words, the bass note determines whether it is "uninverted" (upright? LOL!), a first inversion or a second inversion. After that, the order of the other two notes is irrelevant.