| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(S3×C2×C4) = C4×C32⋊D6 | φ: S3×C2×C4/C4 → D6 ⊆ Aut C32 | 36 | 6 | C3^2:1(S3xC2xC4) | 432,300 |
| C32⋊2(S3×C2×C4) = C2×C6.S32 | φ: S3×C2×C4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:2(S3xC2xC4) | 432,317 |
| C32⋊3(S3×C2×C4) = C2×He3⋊(C2×C4) | φ: S3×C2×C4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:3(S3xC2xC4) | 432,321 |
| C32⋊4(S3×C2×C4) = C2×C4×C32⋊C6 | φ: S3×C2×C4/C2×C4 → S3 ⊆ Aut C32 | 72 | | C3^2:4(S3xC2xC4) | 432,349 |
| C32⋊5(S3×C2×C4) = C2×C4×He3⋊C2 | φ: S3×C2×C4/C2×C4 → S3 ⊆ Aut C32 | 72 | | C3^2:5(S3xC2xC4) | 432,385 |
| C32⋊6(S3×C2×C4) = S3×C6.D6 | φ: S3×C2×C4/Dic3 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:6(S3xC2xC4) | 432,595 |
| C32⋊7(S3×C2×C4) = Dic3⋊6S32 | φ: S3×C2×C4/Dic3 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:7(S3xC2xC4) | 432,596 |
| C32⋊8(S3×C2×C4) = C4×S3×C3⋊S3 | φ: S3×C2×C4/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:8(S3xC2xC4) | 432,670 |
| C32⋊9(S3×C2×C4) = C4×C32⋊4D6 | φ: S3×C2×C4/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:9(S3xC2xC4) | 432,690 |
| C32⋊10(S3×C2×C4) = C2×S3×C32⋊C4 | φ: S3×C2×C4/D6 → C4 ⊆ Aut C32 | 24 | 8+ | C3^2:10(S3xC2xC4) | 432,753 |
| C32⋊11(S3×C2×C4) = S32×Dic3 | φ: S3×C2×C4/D6 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:11(S3xC2xC4) | 432,594 |
| C32⋊12(S3×C2×C4) = C2×Dic3×C3⋊S3 | φ: S3×C2×C4/C2×C6 → C22 ⊆ Aut C32 | 144 | | C3^2:12(S3xC2xC4) | 432,677 |
| C32⋊13(S3×C2×C4) = C2×C33⋊8(C2×C4) | φ: S3×C2×C4/C2×C6 → C22 ⊆ Aut C32 | 72 | | C3^2:13(S3xC2xC4) | 432,679 |
| C32⋊14(S3×C2×C4) = C2×C33⋊9(C2×C4) | φ: S3×C2×C4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:14(S3xC2xC4) | 432,692 |
| C32⋊15(S3×C2×C4) = S32×C12 | φ: S3×C2×C4/C4×S3 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:15(S3xC2xC4) | 432,648 |
| C32⋊16(S3×C2×C4) = C6×C6.D6 | φ: S3×C2×C4/C2×Dic3 → C2 ⊆ Aut C32 | 48 | | C3^2:16(S3xC2xC4) | 432,654 |
| C32⋊17(S3×C2×C4) = C3⋊S3×C2×C12 | φ: S3×C2×C4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:17(S3xC2xC4) | 432,711 |
| C32⋊18(S3×C2×C4) = C2×C4×C33⋊C2 | φ: S3×C2×C4/C2×C12 → C2 ⊆ Aut C32 | 216 | | C3^2:18(S3xC2xC4) | 432,721 |
| C32⋊19(S3×C2×C4) = S3×C6×Dic3 | φ: S3×C2×C4/C22×S3 → C2 ⊆ Aut C32 | 48 | | C3^2:19(S3xC2xC4) | 432,651 |
| C32⋊20(S3×C2×C4) = C2×S3×C3⋊Dic3 | φ: S3×C2×C4/C22×S3 → C2 ⊆ Aut C32 | 144 | | C3^2:20(S3xC2xC4) | 432,674 |