| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32.1(C3×D9) = He3⋊D9 | φ: C3×D9/C9 → C6 ⊆ Aut C32 | 81 | | C3^2.1(C3xD9) | 486,25 |
| C32.2(C3×D9) = He3.D9 | φ: C3×D9/C9 → C6 ⊆ Aut C32 | 81 | 6+ | C3^2.2(C3xD9) | 486,27 |
| C32.3(C3×D9) = He3.2D9 | φ: C3×D9/C9 → C6 ⊆ Aut C32 | 81 | 6+ | C3^2.3(C3xD9) | 486,29 |
| C32.4(C3×D9) = He3.5D9 | φ: C3×D9/C9 → C6 ⊆ Aut C32 | 81 | 6+ | C3^2.4(C3xD9) | 486,163 |
| C32.5(C3×D9) = C33⋊1D9 | φ: C3×D9/C32 → S3 ⊆ Aut C32 | 18 | 6 | C3^2.5(C3xD9) | 486,19 |
| C32.6(C3×D9) = (C3×C9)⋊D9 | φ: C3×D9/C32 → S3 ⊆ Aut C32 | 54 | 6 | C3^2.6(C3xD9) | 486,21 |
| C32.7(C3×D9) = (C3×C9)⋊3D9 | φ: C3×D9/C32 → S3 ⊆ Aut C32 | 54 | 6 | C3^2.7(C3xD9) | 486,23 |
| C32.8(C3×D9) = C3×C27⋊C6 | φ: C3×D9/C32 → S3 ⊆ Aut C32 | 54 | 6 | C3^2.8(C3xD9) | 486,113 |
| C32.9(C3×D9) = C92⋊4S3 | φ: C3×D9/C32 → S3 ⊆ Aut C32 | 54 | 6 | C3^2.9(C3xD9) | 486,140 |
| C32.10(C3×D9) = D9×3- 1+2 | φ: C3×D9/D9 → C3 ⊆ Aut C32 | 54 | 6 | C3^2.10(C3xD9) | 486,101 |
| C32.11(C3×D9) = C9⋊S3⋊C9 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 54 | | C3^2.11(C3xD9) | 486,3 |
| C32.12(C3×D9) = C9×D27 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 54 | 2 | C3^2.12(C3xD9) | 486,13 |
| C32.13(C3×D9) = C27⋊3C18 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 54 | 6 | C3^2.13(C3xD9) | 486,15 |
| C32.14(C3×D9) = C32⋊D27 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 81 | | C3^2.14(C3xD9) | 486,17 |
| C32.15(C3×D9) = C32×D27 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 162 | | C3^2.15(C3xD9) | 486,111 |
| C32.16(C3×D9) = C9×C9⋊S3 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 54 | | C3^2.16(C3xD9) | 486,133 |
| C32.17(C3×D9) = C33⋊D9 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 81 | | C3^2.17(C3xD9) | 486,137 |
| C32.18(C3×D9) = C3×C27⋊S3 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 162 | | C3^2.18(C3xD9) | 486,160 |
| C32.19(C3×D9) = C33.5D9 | φ: C3×D9/C3×C9 → C2 ⊆ Aut C32 | 81 | | C3^2.19(C3xD9) | 486,162 |
| C32.20(C3×D9) = D9×C3×C9 | central extension (φ=1) | 54 | | C3^2.20(C3xD9) | 486,91 |