We use the first 100 sq. deg. of overlap between the Kilo-Degree Survey (KiDS) and the Galaxy And Mass Assembly (GAMA) survey to determine the galaxy halo mass of ~10,000 spectroscopically-confirmed satellite galaxies in massive ($M > 10^{13}h^{-1}{rm M}_odot$) galaxy groups. Separating the sample as a function of projected distance to the group centre, we jointly model the satellites and their host groups with Navarro-Frenk-White (NFW) density profiles, fully accounting for the data covariance. The probed satellite galaxies in these groups have total masses $log M_{rm sub} /(h^{-1}{rm M}_odot) approx 11.7 - 12.2$ consistent across group-centric distance within the errorbars. Given their typical stellar masses, $log M_{rm star,sat}/(h^{-2}{rm M}_odot) sim 10.5$, such total masses imply stellar mass fractions of $M_{rm star,sat} /M_{rm sub} approx 0.04 h^{-1}$ . The average subhalo hosting these satellite galaxies has a mass $M_{rm sub} sim 0.015M_{rm host}$ independent of host halo mass, in broad agreement with the expectations of structure formation in a $Lambda$CDM universe.