| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C3⋊D4) = He3⋊2D4 | φ: C3⋊D4/C2 → D6 ⊆ Aut C32 | 36 | 6+ | C3^2:1(C3:D4) | 216,35 |
| C32⋊2(C3⋊D4) = He3⋊3D4 | φ: C3⋊D4/C2 → D6 ⊆ Aut C32 | 36 | 6 | C3^2:2(C3:D4) | 216,37 |
| C32⋊3(C3⋊D4) = C33⋊D4 | φ: C3⋊D4/C3 → D4 ⊆ Aut C32 | 12 | 4 | C3^2:3(C3:D4) | 216,158 |
| C32⋊4(C3⋊D4) = He3⋊6D4 | φ: C3⋊D4/C22 → S3 ⊆ Aut C32 | 36 | 6 | C3^2:4(C3:D4) | 216,60 |
| C32⋊5(C3⋊D4) = He3⋊7D4 | φ: C3⋊D4/C22 → S3 ⊆ Aut C32 | 36 | 6 | C3^2:5(C3:D4) | 216,72 |
| C32⋊6(C3⋊D4) = C33⋊6D4 | φ: C3⋊D4/C6 → C22 ⊆ Aut C32 | 72 | | C3^2:6(C3:D4) | 216,127 |
| C32⋊7(C3⋊D4) = C33⋊7D4 | φ: C3⋊D4/C6 → C22 ⊆ Aut C32 | 36 | | C3^2:7(C3:D4) | 216,128 |
| C32⋊8(C3⋊D4) = C33⋊9D4 | φ: C3⋊D4/C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:8(C3:D4) | 216,132 |
| C32⋊9(C3⋊D4) = C3×C3⋊D12 | φ: C3⋊D4/Dic3 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:9(C3:D4) | 216,122 |
| C32⋊10(C3⋊D4) = C33⋊8D4 | φ: C3⋊D4/Dic3 → C2 ⊆ Aut C32 | 36 | | C3^2:10(C3:D4) | 216,129 |
| C32⋊11(C3⋊D4) = C3×D6⋊S3 | φ: C3⋊D4/D6 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:11(C3:D4) | 216,121 |
| C32⋊12(C3⋊D4) = C3×C32⋊7D4 | φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C32 | 36 | | C3^2:12(C3:D4) | 216,144 |
| C32⋊13(C3⋊D4) = C33⋊15D4 | φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C32 | 108 | | C3^2:13(C3:D4) | 216,149 |