Johnson Solids (Page 3)

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(J54) Augmented Hexagonal Prism
Vertices:  13  ({4 * 2}[3] + {4 + 1}[4])
Faces:11  ({2 * 2} equilateral triangles + {2 * 2 + 1} squares
    + 2 regular hexagons)
Edges:22
Symmetry:  2-fold Pyramidal  (C2v)
(values below based on edge length = 1)
Volume:(sqrt(2)+9*sqrt(3))/6    ≈2.8337784717488317818