| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(D4.S3) = C33⋊SD16 | φ: D4.S3/C3 → SD16 ⊆ Aut C32 | 24 | 8 | C3^2:(D4.S3) | 432,738 |
| C32⋊2(D4.S3) = He3⋊3SD16 | φ: D4.S3/C4 → D6 ⊆ Aut C32 | 72 | 6 | C3^2:2(D4.S3) | 432,78 |
| C32⋊3(D4.S3) = He3⋊5SD16 | φ: D4.S3/C4 → D6 ⊆ Aut C32 | 72 | 12+ | C3^2:3(D4.S3) | 432,85 |
| C32⋊4(D4.S3) = C33⋊7SD16 | φ: D4.S3/C6 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:4(D4.S3) | 432,584 |
| C32⋊5(D4.S3) = He3⋊8SD16 | φ: D4.S3/D4 → S3 ⊆ Aut C32 | 72 | 12- | C3^2:5(D4.S3) | 432,152 |
| C32⋊6(D4.S3) = He3⋊9SD16 | φ: D4.S3/D4 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:6(D4.S3) | 432,193 |
| C32⋊7(D4.S3) = C33⋊12SD16 | φ: D4.S3/C12 → C22 ⊆ Aut C32 | 144 | | C3^2:7(D4.S3) | 432,439 |
| C32⋊8(D4.S3) = C33⋊14SD16 | φ: D4.S3/C12 → C22 ⊆ Aut C32 | 144 | | C3^2:8(D4.S3) | 432,441 |
| C32⋊9(D4.S3) = C33⋊18SD16 | φ: D4.S3/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:9(D4.S3) | 432,458 |
| C32⋊10(D4.S3) = C3×D12.S3 | φ: D4.S3/C3⋊C8 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:10(D4.S3) | 432,421 |
| C32⋊11(D4.S3) = C33⋊16SD16 | φ: D4.S3/C3⋊C8 → C2 ⊆ Aut C32 | 144 | | C3^2:11(D4.S3) | 432,443 |
| C32⋊12(D4.S3) = C3×Dic6⋊S3 | φ: D4.S3/Dic6 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:12(D4.S3) | 432,420 |
| C32⋊13(D4.S3) = C33⋊13SD16 | φ: D4.S3/Dic6 → C2 ⊆ Aut C32 | 144 | | C3^2:13(D4.S3) | 432,440 |
| C32⋊14(D4.S3) = C3×C32⋊9SD16 | φ: D4.S3/C3×D4 → C2 ⊆ Aut C32 | 72 | | C3^2:14(D4.S3) | 432,492 |
| C32⋊15(D4.S3) = C33⋊24SD16 | φ: D4.S3/C3×D4 → C2 ⊆ Aut C32 | 216 | | C3^2:15(D4.S3) | 432,508 |