What is Charles power in twilight?

Charlie Swan (Bella's father), does not have any 'special powers' in Twilight. He is not a vampire, or immortal. If you mean Carlise Cullen. He does not have any special power either. But he does have amazing strength to resist human blood, if you consider that as a 'power'. if you mean charles' (makennas mate) then his power is he knows when he's being lied to, just like Maggie (the Irish vampire who was 'adopted' by Siobhan and Liam).