We report calculations of potential energy curves for doubly excited states of the H-2 molecule in the 1.2a. u. <= R <= 12a. u. range at the multireference configuration interaction (MRCI) level based on multiconfigurational self-consistent field (MCSCF) orbitals. We focus on the Q(2) states which lie between the second and third ionization thresholds of the H-2(+) molecular ion, i.e. the (2)Sigma(+)(u) and (2)Pi(u) states, respectively, and dissociate in the H(2l) + H(2l) channels. The MCSCF/ MRCI approach allows us to successfully identify the molecular optically forbidden Q(2) (1)Sigma(+)(g) state which dissociates into two H(2s) atoms. Generalized oscillator strength as a function of transferred momentum for three doubly excited states is also presented.