We study supersymmetric $$AdS_n\times \Sigma ^{7-n}$$ $Ad{S}_n\times {\Sigma }^{7-n}$ , $$n=2,3,4,5$$ $n=2,3,4,5$ solutions in seven-dimensional maximal gauged supergravity with $$CSO(p,q,5-p-q)$$ $CSO(p,q,5-p-q)$ and $$CSO(p,q,4-p-q)$$ $CSO(p,q,4-p-q)$ gauge groups. These gauged supergravities are consistent truncations of eleven-dimensional supergravity and type IIB theory on $$H^{p,q}\circ T^{5-p-q}$$ $H^{p,q}\circ T^{5-p-q}$ and $$H^{p,q}\circ T^{4-p-q}$$ $H^{p,q}\circ T^{4-p-q}$ , respectively. Apart from recovering the previously known $$AdS_n\times \Sigma ^{7-n}$$ $Ad{S}_n\times {\Sigma }^{7-n}$ solutions in SO(5) gauge group, we find novel classes of $$AdS_5\times S^2$$ $Ad{S}_5\times S^2$ , $$AdS_3\times S^2\times \Sigma ^2$$ $Ad{S}_3\times S^2\times {\Sigma }^2$ and $$AdS_3\times CP^2$$ $Ad{S}_3\times C{P}^2$ solutions in non-compact SO(3, 2) gauge group together with a class of $$AdS_3\times CP^2$$ $Ad{S}_3\times C{P}^2$ solutions in SO(4, 1) gauge group. In SO(5) gauge group, we extensively study holographic RG flow solutions interpolating from the SO(5) supersymmetric $$AdS_7$$ $Ad{S}_7$ vacuum to the $$AdS_n\times \Sigma ^{7-n}$$ $Ad{S}_n\times {\Sigma }^{7-n}$ fixed points and singular geometries in the form of curved domain walls with $$Mkw_{n-1}\times \Sigma ^{7-n}$$ $Mk{w}_{n-1}\times {\Sigma }^{7-n}$ slices. In many cases, the singularities are physically acceptable and can be interpreted as non-conformal phases of $$(n-1)$$ $(n-1)$ -dimensional SCFTs obtained from twisted compactifications of $$N=(2,0)$$ $N=(2,0)$ SCFT in six dimensions. In SO(3, 2) and SO(4, 1) gauge groups, we give a large number of RG flows between the new $$AdS_n\times \Sigma ^{7-n}$$ $Ad{S}_n\times {\Sigma }^{7-n}$ fixed points and curved domain walls while, in $$CSO(p,q,4-p-q)$$ $CSO(p,q,4-p-q)$ gauge group, RG flows interpolating between asymptotically locally flat domain walls and curved domain walls are given.