Just as there are seven modes of the diatonic scale, I would expect five modes of the pentatonic scale.
Have these been classified?
Here they are, in the form of {semitone interval gaps} (Notes for root:C)
{ 2 2 3 2 3 } ( C D E G A ) { 3 2 2 3 2 } ( C ♭E F G ♭B ) { 2 3 2 2 3 } ( C D F G A ) { 3 2 3 2 2 } ( C ♭E F ♭A♭B ) { 2 3 2 3 2 } ( C D F G ♭B )
Note how I've used spacing to illustrate that it is the same pattern cycling.
In the key of C, I would expect {C ♭E F ♭A ♭B} to be labelled a 'minor' pentatonic, as ♭E and ♭A are both in the scale of C minor.
However, {C D E G A} and {C D F G A} would both be contenders for a 'major' pentatonic scale.