We uncover a rich microphysical structure for SO(10) cosmic strings. F
or the Abelian string the electroweak symmetry is restored around it i
n a region depending on the electroweak scale. Four distinct non-Abeli
an strings are found. Some of these also restore the electroweak symme
try. We investigate the zero mode structure of our strings. Whilst the
re are right-handed neutrino zero modes for the Abelian string, they d
o not survive the electroweak phase transition in the case of the lowe
st energy solution. We elucidate the zero mode structure for the non-A
belian strings above and below the electroweak phase transition. We co
nsider the generalization of our results to other theories and conside
r the cosmological consequences of them.