Here is my list;

Expertise in potions Potions
Ability to unlock any door (Hecates symbol is a key)
Ability to summon a Torch (another symbol)
Guide you to where you need to go (goddess of crossroads)
Control over dogs (Another symbol)
Extremely draining abilities to raise the dead (Goddess of Necromancy)
Basic Magic
Their mother can watch over them in the Sea, Underworld, Sky and Earth (She has a portion of each but the underworld where she is a minister and friend of Persephone)
Shadow Travel (As an underworld goddess)

yep thats true. Basically witches. Like Harry potter but you know...a demigod.