Johnson Solids (Page 4)

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

(J66) Augmented Truncated Cube
Vertices:  28  ({8 + 4 * 2}[3] + {8 + 4}[4])
Faces:22  ({4 * 3} equilateral triangles + {4 + 1} squares
    + {4 + 1} regular octagons)
Edges:48
Symmetry:  4-fold Pyramidal  (C4v)
(values below based on edge length = 1)
Volume:(24+16*sqrt(2))/3    ≈15.542472332656506927