On the wikipedia article about Hadamard Matrix it says that "The smallest order that cannot be constructed by a combination of Sylvester's and Paley's methods is 92"

But it also says that a new Hadamard matrix of size n times m can be created using Hadamard matrices of sizes n and m.

Why isn't 23 (92=2 times 2 times 23) the smallest size which cannot be created this way?