  Incommensurate antiferromangetic (AFM) order in the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconductor is investigated on the
basis of the Ginzburg-Landau theory. We formulate the two component
Ginzburg-Landau model to discuss two degenerate incommensurate AFM states in
the tetragonal crystal structure. Owing to the broken translation symmetry in
the FFLO state, a multiple phase diagram of single-q phase and double-q phase
is obtained under the magnetic field along [100] or [010] direction. Magnetic
properties in each phase are investigated and compared with the neutron
scattering and NMR measurements for a heavy fermion superconductor CeCoIn_5. An
ultrasonic measurement is proposed for a future experimental study to identify
the AFM-FFLO state. The field orientation dependence of the AFM order in
CeCoIn_5 is discussed.
