The allowed Gamow-Teller β-decay information of Li,Be,B,C,and N isotopes under the frame work of nuclear shell model is calculated herein.Theoretical results of Q values,half-lives,excitation energies,log ft values,branching fractions,and β-delayed proton/neutron emission probabilities are tabulated and compared with experimental data.The deviations from the observations are also analyzed.The 11Be nucleus is well known for its anomaly ground state Jπ=1/2+.Thus,we compared the theoretical energy levels with the experimental data and the agreements for low excitation states are consistent.The quenching factor is also evaluated and discussed. The allowed Gamow-Teller β-decay information of Li, Be, B, C, and N isotopes under the frame work of nuclear shell model is calculated. The optical results of Q values, half-lives, excitation energies, log ft values, branching fractions, and β-delayed proton / neutron emission probabilities are tabulated and compared with experimental data. The deviations from the observations are also analyzed. 11Be nucleus is well known for its anomaly ground state Jπ = 1/2 +. Thus, we compared the theoretical energy levels with the experimental data and the agreements for low excitation states are consistent. The quenching factor is also also evaluated and discussed.