| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32.1(C3×S3) = C3≀S3 | φ: C3×S3/C3 → S3 ⊆ Aut C32 | 9 | 3 | C3^2.1(C3xS3) | 162,10 |
| C32.2(C3×S3) = He3.C6 | φ: C3×S3/C3 → S3 ⊆ Aut C32 | 27 | 3 | C3^2.2(C3xS3) | 162,12 |
| C32.3(C3×S3) = He3.2C6 | φ: C3×S3/C3 → S3 ⊆ Aut C32 | 27 | 3 | C3^2.3(C3xS3) | 162,14 |
| C32.4(C3×S3) = C3×C9⋊C6 | φ: C3×S3/C3 → S3 ⊆ Aut C32 | 18 | 6 | C3^2.4(C3xS3) | 162,36 |
| C32.5(C3×S3) = He3.4C6 | φ: C3×S3/C3 → S3 ⊆ Aut C32 | 27 | 3 | C3^2.5(C3xS3) | 162,44 |
| C32.6(C3×S3) = C33⋊C6 | φ: C3×S3/C3 → C6 ⊆ Aut C32 | 9 | 6+ | C3^2.6(C3xS3) | 162,11 |
| C32.7(C3×S3) = He3.S3 | φ: C3×S3/C3 → C6 ⊆ Aut C32 | 27 | 6+ | C3^2.7(C3xS3) | 162,13 |
| C32.8(C3×S3) = He3.2S3 | φ: C3×S3/C3 → C6 ⊆ Aut C32 | 27 | 6+ | C3^2.8(C3xS3) | 162,15 |
| C32.9(C3×S3) = He3.4S3 | φ: C3×S3/C3 → C6 ⊆ Aut C32 | 27 | 6+ | C3^2.9(C3xS3) | 162,43 |
| C32.10(C3×S3) = S3×3- 1+2 | φ: C3×S3/S3 → C3 ⊆ Aut C32 | 18 | 6 | C3^2.10(C3xS3) | 162,37 |
| C32.11(C3×S3) = C9×D9 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 18 | 2 | C3^2.11(C3xS3) | 162,3 |
| C32.12(C3×S3) = C32⋊C18 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 18 | 6 | C3^2.12(C3xS3) | 162,4 |
| C32.13(C3×S3) = C32⋊D9 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 27 | | C3^2.13(C3xS3) | 162,5 |
| C32.14(C3×S3) = C9⋊C18 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 18 | 6 | C3^2.14(C3xS3) | 162,6 |
| C32.15(C3×S3) = C32×D9 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 54 | | C3^2.15(C3xS3) | 162,32 |
| C32.16(C3×S3) = C3×C9⋊S3 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 54 | | C3^2.16(C3xS3) | 162,38 |
| C32.17(C3×S3) = C9×C3⋊S3 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 54 | | C3^2.17(C3xS3) | 162,39 |
| C32.18(C3×S3) = C33.S3 | φ: C3×S3/C32 → C2 ⊆ Aut C32 | 27 | | C3^2.18(C3xS3) | 162,42 |
| C32.19(C3×S3) = S3×C3×C9 | central extension (φ=1) | 54 | | C3^2.19(C3xS3) | 162,33 |