I'm particulary intersted to learn what is the the maximal average power and/or peak power achieved using second-harmonic generation that result in 100-500 ns pulses, especially @ 515/532 nm.
I suspect that the answer to both is probably at the National Ignition Facility or somewhere similar. They use a two-stage amplifier to generate 351 nm from 1053 nm, with energies in the 100s to kJ to ~1 MJ per pulse. Pulse duration is 10 ns, so of order 1013-14 W peak power in the 527 nm beam.
I believe in terms of average powers, the group from IAP, Jena, Germany has just recently reported over 100 W of 3rd harmonics from 1 um femtosecond laser. Published in Optics Letters...
>500 W of average power at 532nm. 5ns pulses at high frequency. IPG photonics. Check the off site for details of laser operations. If you want to know maximal peak power try to look for femtosecond projects.
A collaboration of IFSW and TRUMPF reached 820W average power at 515nm using a frequency doubled thin disk mode locked oscillator and a thin disk multi pass amplfier system.