Table:
text: Prompt neutron
Principle
Principle
Group_ Half_Life_s Decay_Constant_s_1_ Yield_Neutrons_per_Fission Fraction
1 55.72 0.0124 0.00052 0.000215
2 22.72 0.0305 0.00546 0.001424
3 6.22 0.111 0.00310 0.001274
4 2.30 0.301 0.00624 0.002568
5 0.614 1.14 0.00182 0.000748
6 0.230 3.01 0.00066 0.000273

Question: What is the lowest group number among prompt neutrons with a fraction less than 0.000748, a half-life of 55.72, and a decay constant greater than 0.012400000000000001?

Question: What is the lowest half-life with a yield, neutrons per fission greater than 0.0054600000000000004 and a fraction less than 0.002568 under prompt neutron?