Johnson Solids (Page 3)

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(J55) Parabiaugmented Hexagonal Prism
Vertices:  14  (4[3] + {8 + 2}[4])
Faces:14  ({4 * 2} equilateral triangles + 4 squares
    + 2 regular hexagons)
Edges:26
Symmetry:  2-fold Prismatic  (D2h)
(values below based on edge length = 1)
Volume:(2*sqrt(2)+9*sqrt(3))/6    ≈3.0694807321443476232