What irreducible representations do the four H1s orbitals of CH 4 span? Are there s and p

Question:

What irreducible representations do the four H1s orbitals of CH₄ span? Are there s and p orbitals of the central C atom that may form molecular orbitals with them? Could d orbitals, even if they were present on the C atom, play a role in orbital formation in CH₄?

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