The shrouded outfit is obtained during the Dark Brotherhood main questline, the set is located in the Falkreath Sanctuary on top of a cupboard in the very first room to the right (along with a shrouded cowl), just as one enters the Sanctuary.
|Shrouded Hand Wraps||–||0.5||50||One-handed sneak attacks do double damage.||000CF8A9|
|Shrouded Hood||–||0.5||1485||Sneaking is 25% better.||000CF8A1|
|Shrouded Robes||–||0.5||711||Destruction spells cost 15% less to cast.||000CF8A0|
|Shrouded Shoes||–||0.5||150||Wearer is muffled and moves silently.||000CF89F|
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