The Great Dane and the chihuahua are both domestic dogs (the same species), but mating between them is limited because of:

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The difference in size between a Great Dane and a chihuahua is vast, and their reproductive structures are not compatible due to the significant size difference. This creates mechanical incompatibility and prevents successful mating. Hybrid infertility and inviability refer to situations where hybrid offspring are either sterile or unable to survive, respectively, which is not applicable in this case. Behavioral and geographic isolation refer to interbreeding barriers that result from differences in behavior and location, respectively, which are also not relevant here.

The Great Dane and the Chihuahua Are Both Domestic Dogs