How to check if the given graph is planar or not?

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How to check if the given graph is planar or not?

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I am not able to find a sub-graph homeomorphic to $K_5$ or $K_{3,3}$.

Can someone please help me to find one? I am completely stuck

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Consider the vertices labelled 0,3,6 in one partition and 1,5,4. The subgraph induced by these 6 vertices contain a $K_{3,3}$. Even the subgraph is not a $K_{3,3}$(subgraph has $K_{3,3}$ as subgraph) , This is enough for not planar.