ditetragonal pyramidal point group - Wolfram|Alpha

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Point group details:

link to /input/?i=crystallographic+point+group+C4v+crystal+class&lk=1link to /input/?i=crystallographic+point+group+C4v+crystal+class&lk=1link to /input/?i=crystallographic+point+group+C4v+Sch%C3%B6nflies+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Sch%C3%B6nflies+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Hermann%E2%80%90Mauguin+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Hermann%E2%80%90Mauguin+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Hermann%E2%80%90Mauguin+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+type&lk=1link to /input/?i=crystallographic+point+group+C4v+orbifold+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+orbifold+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Shubnikov+magnetic+group&lk=1link to /input/?i=crystallographic+point+group+C4v+Shubnikov+magnetic+group&lk=1link to /input/?i=crystallographic+point+group+C4v+Shubnikov+magnetic+group&lk=1
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Crystallographic properties:

link to /input/?i=crystallographic+point+group+C4v+crystal+family&lk=1link to /input/?i=crystallographic+point+group+C4v+crystal+family&lk=1link to /input/?i=tetragonal&lk=1&a=ClashPrefs_*CrystalFamily.Tetragonal-link to /input/?i=crystallographic+point+group+C4v+crystal+system&lk=1link to /input/?i=crystallographic+point+group+C4v+crystal+system&lk=1link to /input/?i=tetragonal&lk=1&a=ClashPrefs_*CrystalSystem.Tetragonal-link to /input/?i=crystallographic+point+group+C4v+lattice+system&lk=1link to /input/?i=crystallographic+point+group+C4v+lattice+system&lk=1link to /input/?i=tetragonal&lk=1&a=ClashPrefs_*LatticeSystem.Tetragonal-link to /input/?i=crystallographic+point+group+C4v+Bravais+lattices&lk=1link to /input/?i=crystallographic+point+group+C4v+Bravais+lattices&lk=1link to /input/?i=centered+tetragonal&lk=1&a=ClashPrefs_*Lattice.CenteredTetragonal-link to /input/?i=centered+tetragonal&lk=1&a=ClashPrefs_*Lattice.CenteredTetragonal-link to /input/?i=simple+tetragonal&lk=1&a=ClashPrefs_*Lattice.SimpleTetragonal-link to /input/?i=simple+tetragonal&lk=1&a=ClashPrefs_*Lattice.SimpleTetragonal-link to /input/?i=crystallographic+point+group+C4v+space+groups&lk=1link to /input/?i=crystallographic+point+group+C4v+space+groups&lk=1
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Space groups:

link to /input/?i=crystallographic+point+group+C4v+IUCr+number&lk=1link to /input/?i=crystallographic+point+group+C4v+IUCr+number&lk=1link to /input/?i=crystallographic+space+group+99&lk=1link to /input/?i=crystallographic+space+group+100&lk=1link to /input/?i=crystallographic+space+group+101&lk=1link to /input/?i=crystallographic+point+group+C4v+Hermann%E2%80%90Mauguin+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Hermann%E2%80%90Mauguin+notation&lk=1link to /input/?i=crystallographic+point+group+C4v+Hermann%E2%80%90Mauguin+notation&lk=1link to /input/?i=crystallographic+space+group+99&lk=1link to /input/?i=crystallographic+space+group+100&lk=1link to /input/?i=crystallographic+space+group+101&lk=1
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Group elements:

link to /input/?i=crystallographic+point+group+C4v+element+names&lk=1link to /input/?i=crystallographic+point+group+C4v+element+names&lk=1link to /input/?i=crystallographic+point+group+C4v+generators&lk=1link to /input/?i=crystallographic+point+group+C4v+order&lk=1
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Notation:

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Multiplication table:

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Group theory properties:

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