Undergrad Space Group Symmetry: What is F d3m Spinel Structure?

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The F d3m space group indicates a face-centered cubic lattice with 3-fold rotational symmetry and a diamond glide plane. The "d" in the designation refers to the presence of this diamond glide plane, which contributes to the symmetry of the structure. The discussion also questions whether F d3m is equivalent to F 4-3 m, suggesting a need for clarification on the relationship between these space groups. Understanding these symmetries is crucial for characterizing materials with spinel structures. The exploration of these space groups enhances knowledge in crystallography and material science.
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Notations in space group symmetries
What does mean spinel structure has F d3m space group? I know F is for face centred cubic, 3 is 3-fold symmetry and m is mirror, but I don't know what means "d"?
 
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I am currently reading Kittel's Introduction to Solid State Physics and am confused by the terminology regarding phonons. On page 99 (8th ed.), regarding Eq. 27, Kittel writes: "The energy of an elastic mode of angular frequency ## \omega ## is ## \epsilon = (n + 1/2)\hbar\omega ## when the mode is excited to quantum number ## n ##; that is, when the mode is occupied by ## n ## phonons. This definition implies that: The mode (the harmonic oscillator) is the entity that possesses the wave...

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