It does have an LSD, all 24v Senators did.
Oh no they didn't!! Who told you that? Whoever it was, shoot them!!
An LSD was only
slightly less rare on a civvy spec' Senny than it was on an equivelant/similarly spec'd Omega.
The problem with the 'slippys' on a Senny/Carlton (etc) is that they're not as easily identifiable as a 'normal' LSD. On a normal 'Positraction' diff', if you jack the rear of the car off the ground and turned one of the driven wheels with the transmission in neutral, the other should turn in the same direction of motion. The Senny diff', (for want of any explanation!), didn't.
Basically, to identify a Senny/Carlton(and I guess Omega), LSD, with the driven wheels off the ground, turn the propshaft. If the driven wheels turn the same degrees in the same direction, then it's an LSD. If it doesn't or turns the other way, then it isn't.
Alternatively, try to light the tail up on a bend. If you get smoke from one tyre then it's not an LSD! otherwise, try the tests detailed above. (It might be that the 'limited' bit has passed it's sell by date!!
)
I only ever owned one Sentor with an LSD, but never got the pleasure of driving it!
However, the NON-LSD Senny's I did drive, were much like Omegas in that they were very predictable and controllable in 'breaking' and could be pulled back into shape without too much trauma.