Aqui estão algumas opções:
awk '{split($0, a, /\//); print $0 "\t" a[2]}' file
awk -F/ -v OFS="\t" '{print $0, $2}' file
sed -r 's#^([^/]*/([^/]*)/.*)#\t#' file
sed 's#^\([^/]*/\([^/]*\)/.*\)#\t#' file
sed 'p; s#[^/]*/##; s#/.*##' file | paste - -
perl -F/ -lane 'print "$_\t$F[1]"' file