C4.D8=C4.(C4xC2) SmallGroup(32, 15)

[32 11 4 3]: [f3, f4, f1*f3, f2*f3, f2*f5, f3*f5, f4*f5, f3*f4*f5, f1*f2*f3*f5, f1*f3*f4*f5, f1*f2*f3*f4*f5]
             [4, 5, 8, 11, 13, 15, 16, 26, 28, 30, 32]

[32 17 16 2]: [f1, f1*f2, f1*f3, f1*f4, f1*f5, f3*f4, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f1*f2*f3*f4*f5]
              [2, 7, 8, 9, 10, 14, 17, 18, 19, 20, 21, 22, 27, 28, 29, 30, 32]

[32 22 18 12]: [f1, f2, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f4, f2*f5, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f3*f4*f5, f1*f2*f3*f4, f1*f3*f4*f5, f2*f3*f4*f5]
               [2, 3, 7, 8, 9, 10, 11, 12, 13, 14, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31]

[32 22 18 12]: [f1, f2, f4, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f4, f2*f5, f4*f5, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f1*f2*f3*f4, f1*f3*f4*f5, f2*f3*f4*f5]
               [2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 30, 31]

[32 25 24 18]: [f1, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2*f4, f3*f4, f4*f5, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f4*f5, f3*f4*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2*f3*f4*f5, f1*f2*f3*f4*f5]
               [2, 5, 6, 7, 8, 9, 10, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32]

[32 26 22 20]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f3*f4*f5, f1*f2*f3*f4, f1*f3*f4*f5, f2*f3*f4*f5]
               [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31]

[32 27 24 22]: [f1, f2, f3, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f3*f4*f5, f1*f2*f3*f4, f1*f3*f4*f5, f2*f3*f4*f5]
               [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31]

[32 28 26 24]: [f1, f2, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f4, f2*f5, f3*f4, f4*f5, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2*f3*f4*f5, f1*f2*f3*f4*f5]
               [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32]

[32 29 28 26]: [f1, f2, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f4, f2*f5, f3*f4, f4*f5, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f3*f4*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2*f3*f4*f5, f1*f2*f3*f4*f5]
               [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32]