We give a large class of supersymmetric domain walls in maximal seven-dimensional gauged supergravity with various types of gauge groups. Gaugings are described by components of the embedding tensor transforming in representations 15 and 40 of the global symmetry SL(5). The embedding tensor in 15 representation leads to CSO(p, q, 5 − p − q) gauge groups while gaugings in 40 representation describes CSO(p, q, 4 − p − q) gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both 15 and 40 components lead to 1 4 -supersymmetric domain walls. In this case, the gauge groups under consideration are SO(2, 1) ⋉ R 4 and CSO(2, 0, 2) ∼ SO(2) ⋉ R 4 . All of the domain wall solutions are analytically obtained. For SO(5) gauge group, the gauged supergravity admits an N = 4 supersymmetric AdS 7 vacuum dual to N = (2, 0) SCFT in six dimensions. The corresponding domain walls can be interpreted as holographic RG flows from the N = (2, 0) SCFT to non-conformal N = (2, 0) field theories in the IR. The solutions can be uplifted to eleven dimensions by using a truncation ansatz on S 4 . Furthermore, the gauged supergravity with CSO(4, 0, 1) ∼ SO(4) ⋉ R 4 gauge group can be embedded in type IIA theory via a truncation on S 3 . The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.