Carbon only splinters with incorrect tools
118 degree point derills splinter 90 degree points do not for bigger holes orbital drilling is used ,think of it like a circular pocket cycle on a cnc ising a flat bottom boring bit
Are you trying to profile mill drill or pocket the carbon the only cutter which looks familiar in proffesional composites machining is the humble ball mill and then we use CVD or PCD to make those last the rest look more like Burrs
All will have a different cutter geometry than a trditional carbide mill bit as the top and bottom face of the sheet will want to delaminate these are called (google) compression geometry milling tools 15 and 25 degree helix are normal here
if your machining a few bits and bobs you will get by with DLC coated carbide, this is not for production use though they wont last
Easiest way to cut carbon sheet is high pressure water ,we use a 5 axis water jet in aerospace for this