Notes:
The descent of MUG-NUADAT from EBER is given in two different ways in the sources. The earliest, found in various places in CGH, is as follows:
MUG-NUADAT, son of
Mug-Neit, son of
Dergthene, son of
Derg, son of
Dergfotha, son of
Fothorthecht, son of
Enna Munchain, son of
Loch Mor, son of
Laigne Berb, so of
Ma-Femis, son of
Lethdairbre, son of
Eochu Momo, son of
Muiredach Mucna, son of
Dui Dond Dalta Dedaid, son of
Cairpre Lusc Lethet, son of
Lugaid Luaigne, son of
Fintait Mor, son of
Nia-Segaman (& Flidais Foltchain, his wife), son of
Fer-Corb, son of
Cobthach Cain, son of
Rechtaid Rigderg, son of
Oengus Oenben, son of
Enna Doit, son of
Dui Find, son of
Findroth, son of
Bress Ri, son of
Art Inblech, son of
Ellim Ollfinnachta, son of
Eochu Uarches, son of
Lugaid Lond, son of
Anruth, son of
Roeda Rogaeth, son of
Roan Ruad, son of
Rigairled, son of
Failbe Ilchorach, son of
Cet Cumnech, son of
Aed Derg, son of
Maine Maraicdech, son of
Cas Clothach, son of
Airer Ard, son of
Ain Rothechtaid, son of
Ros, son of
Glas, son of
Nuadu Declam, son of
Eochaid Faeburglas, son of
Conmael, son of
EBER.

The later sources seem to have greatly rearranged the middle part, and constructed from it a king-list, complete with regnal lengths and details of the order of succession. The result, made back into a genealogy, is given in the O'Clery Book of Genealogies as follows:
MUG-NUADAT, son of
Mug-Neit, son of
Derg, son of
Dergthene, son of
Enna Munchain, son of
Loch Mor, son of
Ma-Femis, son of
Muiredach Mucna, son of
Eochu Garb, son of
Dui Dalta Dedaid, K. Ireland, son of
Cairpre Lusc Lethet, son of
Lugaid Luaigne, K. Ireland, son of
Fintait Mor, K. Ireland, son of
Nia-Segaman, K. Ireland, son of
Amadair Flidais Foltchain, K. Ireland (!!!), son of
Fer-Corb, K. Ireland, son of
Mug-Corb, K. Ireland, son of
Cobthach Cain, son of
Rechtaid Rigderg, K. Ireland, son of
Lugaid Laidech, K. Ireland, son of
Eochu, K. Ireland, son of
Ailill Find, K. Ireland, son of
Art, K. Ireland, son of
Lugaid Lamderg, K. Ireland, son of
Eochu Uarches, K. Ireland, son of
Lugaid Iardon, K. Ireland, son of
Enna Derg, K. Ireland, son of
Dui Find, K. Ireland, son of
Setna Innarraid, K. Ireland, son of
Bress Ri, K. Ireland, son of
Art Inflig, K. Ireland, son of
Ellim Ollfinsnechta, K. Ireland, son of
Rothechtaid, K. Ireland, son of
Roan Ruad, son of
Failbe Ilchorach, son of
Cas Cet Cumnech, son of
Faeldergdoit, K. Ireland, son of
Muinemon, K. Ireland, son of
Cas Clothach, son of
Airer Ard, son of
Ain Rothechtaid, son of
Ros, son of
Glas, son of
Nuadu Declam, son of
Eochaid Faeburglas, K. Ireland, son of
Conmael, K. Ireland, son of
EBER FIND.