will host Lancashire in this season's quarter-finals.
Surrey, who finished as the best second-placed side, will entertain two-time finalists Somerset, with Northants playing Durham in Tuesday's other tie.
Hampshire and North Group runners-up Lancashire will then go head to head the following day.
Nottinghamshire, who won the North Group, will play host to Essex at Trent Bridge on Thursday.
FLt20 QUARTER-FINAL DRAW
Surrey v Somerset (Tuesday 6 August 16:15 BST)
Northants v Durham (Tuesday 6 August 19:10 BST)
Hampshire v Lancashire (Wednesday 7 August 19:10 BST)
Nottinghamshire v Essex (Thursday 8 August 19:10 BST)