Haliseris muelleri Sonder, 1853: 665 (type locality: Lefevre Peninsula, South Australia).—J. Agardh, 1882: 132–133.— De Toni, 1895b: 255.
Dictyopteris muelleri (Sonder) Reinbold, 1899: 43.—Weber-van Bosse, 1913a: 181–182.— Børgesen, 1937b: 316.— Womersley, 1949: 114.— Varma, 1961: 225.— E. Lewis, 1962b: 209, tables 1–3.— S. Dixit, 1966: 8.— Misra, 1966b: 147.— Womersley, 1967: 218.— Umamaheswara Rao, 1969d: 41.— V. Krishnamurthy & H. Joshi, 1970: 10.— Ducker, Foord, & Knox, 1977: 83.— Untawale, Dhargalkar, & Agadi, 1983: [20].— Womersley, 1987: 227.— Huisman & Walker, 1990: 375.
INDIAN OCEAN DISTRIBUTION: Australia, India, Indonesia (Lombok).