Asphodelaceae (Aloe Family) CLASSIFICATION Dahlgren et al. (1985) divided the Monocotyledons into several superorders of which the Liliiflorae is the largest. The order Asparagales is the largest of the five orders within Liliiflorea. One of the families within Asparagales recognized by Dahlgren and his co-workers was Asphodelaceae (Chase et al. (2000). Asphodelaceae consists of the sub-families, the Asphodeloideae and the Alooideae. The Alooideae consists of six genera of which Aloe is the largest