Johnson Solids (Page 5)

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(J91) Bilunabirotunda
Vertices:  14  (4[3] + {8 + 2}[4])
Faces:14  ({4 * 2} equilateral triangles + 2 squares
    + 4 regular pentagons)
Edges:26
Symmetry:  2-fold Prismatic  (D2h)
(values below based on edge length = 1)
Volume:(17+9*sqrt(5))/12    ≈3.0937176497915089390