It was also called 'Saiwai yonpa (four Saiwai groups), Saiwai musanpa/Saiwai muyonpa' including an independent group which opposed the coalition of Kenkyu-kai group and the Hara Cabinet and left them.
これに研究会と原内閣の連携に反対して離脱した無所属団を加えて「幸四派（さいわいよんぱ）・幸無三派/幸無四派」とも呼ばれた。