A systematic study of S I levels belonging to 3s23p4, 3s3p5, 3s23p3(4So, 2Do, 2Po)nℓ, where nℓ = 4s, 5s, 6s, 4p, 5p, 6p, 3d, 4d, 5d, 4f and 5f configurations and optically allowed and intersystem transitions among them are presented. A very large set of basis functions are generated using up to three electron promotions from the ground configurations for each of the 24 symmetries considered belonging to two parities. Many of the levels are reported for the first time. Relativistic effects are included through the Breit–Pauli Hamiltonian. The resulting fine-structure levels and oscillator strengths for some astrophysically important transitions are then presented and compared with the available measured and calculated values. Excellent agreement between the present lifetimes and the measurement of Berzinsh et al (1997 Phys. Rev. A 55 1836) and Beideck et al (1994 Astrophys. J. 428 393) are achieved for the 3s23p3(4So)ns(3S1o), 4 ⩽ n ⩽ 6, 3s23p3(4So)4p(3P0,1,2o) and 3s23p3(2Po)4s(3P0,1,2o) levels, respectively.