  The magnetic states of the non-centrosymmetric, pressure induced
superconductor CeCoGe3 have been studied with magnetic susceptibility, muon
spin relaxation(muSR), single crystal neutron diffraction and inelastic neutron
scattering (INS). CeCoGe3 exhibits three magnetic phase transitions at T_N1 =
21 K, T_N2 = 12 K and T_N3 = 8 K. The presence of long range magnetic order
below T_N1 is revealed by the observation of oscillations of the asymmetry in
the muSR spectra between 13 K and 20 K and a sharp increase in the muon
depolarization rate. Single crystal neutron diffraction measurements reveal
magnetic Bragg peaks consistent with propagation vectors of k = 2/3 between
T_N1 and T_N2, k = 5/8between T_N2 and T_N3 and k = 1/2 below T_N3. An increase
in intensity of the (1 1 0) reflection between T_N1 and T_N3 also indicates a
ferromagnetic component in these phases. These measurements are consistent with
an equal moment, two-up, two-down magnetic structure below T_N3, with a
magnetic moment of 0.405(5) mu_B/Ce. Above T_N2, the results are consistent
with an equal moment, two-up, one-down structure with a moment of 0.360(6)
mu_B/Ce. INS studies reveal two crystal-field (CEF) excitations at 19 and 27
meV. From an analysis with a CEF model, the wave-functions of the J = 5/2
multiplet are evaluated along with a prediction for the magnitude and direction
of the ground state magnetic moment. Our model correctly predicts that the
moments order along the c axis but the observed magnetic moment of 0.405(5)
mu_B is reduced compared to the predicted moment of 1.01 mu_B. This is ascribed
to hybridization between the localized Ce^3+ f-electrons and the conduction
band. This suggests that CeCoGe3 has a degree of hybridization between that of
CeRhGe3 and the non-centrosymmetric superconductor CeRhSi3.
