Machamence appears once in-game as a Pokémon used by Elite Four member Wilson and is one of the so-called "Six Kings" of his team used in the Hall of Masters. Not much is known about Machamence aside from the fact that it was synthetically created, as described by Sir_Willis_CMS in the data given from the "Hall of Masters Laboratory Records":
Machamence, the sonic dragon. Synthetically grown pokémon based off the DNA of the Bagon line. Capable of flight at speeds of up to Mach 10 when given sufficient acceleration space.
Because Machamence cannot be obtained by the player, it is not possible to obtain a full list of the moves it is capable of learning. However, there are a few moves that are known from the player's Sigil Hall battle with Wilson.