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Quantum phase transition is a hot topic in condensed matter physics.Recently,Taras Verkholyak and Jozef Strecka stuided a spin half orthogonal-dimer chain with Heisenberg intradimer and Ising interdimer interactions in a magnetic field.In this poster, we investigate this model by using the infinite matrix product state (iMPS) with time-evolving block decimation (iTEBD) method and quantum fidelity per site.We detect all possible degenerate ground states in a broken symmetry phase, from which we know which symmetry group is broken and thus follows order parameters.We have also identified ground state degeneracies by using the fidelity approach in six phases.