We present our preliminary results on the asteroseismological investigations of the ZZ Ceti star GD 244 . We used literature values of the effective temperature and surface gravity and utilized the White Dwarf Evolution Code of Bischoff-Kim , Montgomery and Winget ( 2008 , ApJ , 675 , 1512 ) to build our model grid for the seismological analysis . Five observed pulsational modes published up to now were used to find acceptable model solutions . We found that the best model fits have masses between 0.61 and 0.74 M _ { \odot } and constitute two groups with hydrogen layer masses of either \sim 10 ^ { -5 } or 10 ^ { -6 } M _ { \odot } . Based on a statistical analysis of a larger sample of possible model solutions , we assume that the mass of the star is below \sim 0.68 M _ { \odot } and the oxygen content in the centre is less than 60 per cent .