The SGHT website tells us:

The factory ship Fridtjof Nansen, owned by the Sandefjords Hvalfangerselskab, was a floating factory ship that foundered off the Barff Peninsula on her first voyage to South Georgia on 10th November 1906. She hit an uncharted reef and sank within 7 minutes breaking into three. Nine sailors died of the crew of 58 who were rescued by the accompanying whale catchers. The reef is named after her “the Nansen banks”. The ship was built in 1885 in Newcastle and was of 2,563 tons.

In his book 'Pesca' Ian Hart tells us that nine members of the crew were lost, though forty-nine survivors were picked up in two of the ship's lifeboats and taken to Grytviken.

This predates the register of deaths.

2019 Update: Jan-Erik Poulsbo-Mo wrote with some information he found when researching his family history. The following were the men lost when the vessel was wrecked:

Oscar Severin Petersen Melby

Hans Mathias Andresen

Anders Martin Gulliksen

Gustav Gottfrid Mørck

Anton Antonisen

Fridtjof Olsen

Kristian Hansen

Anders Mørch

Edvard Andreassen