The dissociation energy of the InI ground state (X (1)Sigma(+)(O+)) and the relative yield of In(6s S-2(1/2)) from the photodissociation of InI by sequential two-photon absorption have been measured by laser-induced fluorescence and excitation spectroscopy in the 390-431 nm region. Laser excitation spectroscopy and photoionization experiments demonstrate that the XO+ dissociation energy is 25 340+/-90 cm(-1), which agrees with the value suggested by Vempati and Jones [J. Mol. Spectrosc. 127, 232 (1988)] if the InI ground state is covalent. Seven previously unreported vibrational bands of the InI(B<--X) transition have been observed and the molecular emission spectra indicate that the B (3)Pi(1)(1) state is predissociated above v=6. Splitting between the fine structure levels of the In np P-2(1/2,3/2) (15 less than or equal to n less than or equal to 17) states has also been measured by fluorescence suppression spectroscopy, following the three photon excitation of InI in the 450-470 nm interval.