Concerning the Feit-Thompson conjecture, Stephens found an example for primes 17 and 3313. In this paper, using the Artin map, these primes are common index divisors of subfields of a cyclotomic field, and some results in [7,8] shall be again proved.
"The example by Stephens." Proc. Japan Acad. Ser. A Math. Sci. 88 (3) 35 - 37, March 2012. https://doi.org/10.3792/pjaa.88.35