Defending champions Hampshire Royals face a home tie against Lancashire Lightning in the quarter-finals of the Friends Life t20.
The South Group winners, who lost just once in the pool stage, will start as favourites at the Ageas Bowl against host North Group runners-up Lancashire at the Ageas Bowl on Wednesday.
Durham Dynamos, who were one of the best two third-placed teams, will make the trip to Northants Steelbacks on Tuesday, while Surrey meet Somerset on the same day.
Two-time finalists Somerset beat Warwickshire Royals in a Midlands/Wales/West Group decider to make it through to the knockout stage for the fifth consecutive year.
North Group winners Notts Outlaws welcome Essex Eagles to Trent Bridge on Thursday in the final last-eoght tie.
Tuesday August 6
Surrey v Somerset (4:15pm)
Northants Steelbacks v Durham Dynamos (7:10pm)
Wednesday August 7
Hampshire Royals v Lancashire Lightning (7:10pm)
Thursday August 8
Notts Outlaws v Essex Eagles (7:10pm)