We construct the fermionic sector and supersymmetry transformation rules of a variant supergravity theory obtained by generalized Kaluza–Klein reduction from seven dimensions. We show that this model admits both (Minkowski)₄ × S² and (Minkowski)₃ × S³ supersymmetric vacua. We perform a consistent Kaluza–Klein reduction on S² and obtain supergravity coupled to a vector multiplet, which can be consistently truncated to give rise to supergravity with a chiral multiplet.