- triangular dipyramid (J12)
- pentagonal dipyramid (J13)
- elongated triangular dipyramid (J14)
- elongated square dipyramid (J15)
- elongated pentagonal dipyramid (J16)
- gyroelongated square dipyramid (J17)
- gyrobifastigium (J26)
- triangular orthobicupola (J27)
- square orthobicupola (J28)
- square gyrobicupola (J29)
- pentagonal orthobicupola (J30)
- pentagonal gyrobicupola (J31)
- pentagonal orthobirotunda (J34)
- elongated triangular orthobicupola (J35)
- elongated triangular gyrobicupola (J36)
- elongated square gyrobicupola (J37)
- elongated pentagonal orthobicupola (J38)
- elongated pentagonal gyrobicupola (J39)
- elongated pentagonal orthobirotunda (J42)
- elongated pentagonal gyrobirotunda (J43)
- gyroelongated triangular bicupola (J44)
- gyroelongated square bicupola (J45)
- gyroelongated pentagonal bicupola (J46)
- gyroelongated pentagonal birotunda (J48)
- triaugmented triangular prism (J51)
- parabiaugmented hexagonal prism (J55)
- triaugmented hexagonal prism (J57)
- parabiaugmented dodecahedron (J59)
- biaugmented truncated cube (J67)
- parabiaugmented truncated dodecahedron (J69)
- parabigyrate rhombicosidodecahedron (J73)
- parabidiminished rhombicosidodecahedron (J80)
- snub disphenoid (J84)
- snub square antiprism (J85)
- disphenocingulum (J90)
- bilunabirotunda (J91)

**Answer: ***By my count, there are 35 with the axes of symmetry
of a prism, listed here: (and none with any other polyhedral symmetry)*

**Answer: ***this one.*