The cuprate high temperature superconductors show several competing and coexisting phases, the most important of which are spin and charge order. Magnetic fields can be used as tunable probes to continuously vary the relationship between such phases and superconductivity in these compounds, however only relatively small fields are available for microscopic measurements like neutron and X-ray scattering. Here we propose to investigate the spin and charge order in underdoped La2-xSrxCuO4 (x=0.1) up to fields of 26.2T using the High Field Magnet and the EXED neutron diffractometer. Previous measurements on this compound in fields up to 14.5T reveal a field-induced enhancement of the magnetic order below the zero-field superconducting transition temperature, and also that the suppression of charge order observed below Tc is reversed by fields of up to 10T. The new high field magnet will allow exploration of the behavior of these competing phases for fields up to 26T for the first time.