In*conse*quen"tial*ly

from The Collaborative International Dictionary of English v.0.48

Inconsequential \In*con`se*quen"tial\, a.
   Not regularly following from the premises; hence, irrelevant;
   unimportant; of no consequence. --Chesterfield. --
   {In*con`se*quen"tial*ly}, adv.
   [1913 Webster]