| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C33⋊1(C22×C4) = C2×S3×C32⋊C4 | φ: C22×C4/C2 → C2×C4 ⊆ Aut C33 | 24 | 8+ | C3^3:1(C2^2xC4) | 432,753 |
| C33⋊2(C22×C4) = S32×Dic3 | φ: C22×C4/C2 → C23 ⊆ Aut C33 | 48 | 8- | C3^3:2(C2^2xC4) | 432,594 |
| C33⋊3(C22×C4) = S3×C6.D6 | φ: C22×C4/C2 → C23 ⊆ Aut C33 | 24 | 8+ | C3^3:3(C2^2xC4) | 432,595 |
| C33⋊4(C22×C4) = Dic3⋊6S32 | φ: C22×C4/C2 → C23 ⊆ Aut C33 | 48 | 8- | C3^3:4(C2^2xC4) | 432,596 |
| C33⋊5(C22×C4) = S32×C12 | φ: C22×C4/C4 → C22 ⊆ Aut C33 | 48 | 4 | C3^3:5(C2^2xC4) | 432,648 |
| C33⋊6(C22×C4) = C4×S3×C3⋊S3 | φ: C22×C4/C4 → C22 ⊆ Aut C33 | 72 | | C3^3:6(C2^2xC4) | 432,670 |
| C33⋊7(C22×C4) = C4×C32⋊4D6 | φ: C22×C4/C4 → C22 ⊆ Aut C33 | 48 | 4 | C3^3:7(C2^2xC4) | 432,690 |
| C33⋊8(C22×C4) = C2×C6×C32⋊C4 | φ: C22×C4/C22 → C4 ⊆ Aut C33 | 48 | | C3^3:8(C2^2xC4) | 432,765 |
| C33⋊9(C22×C4) = C22×C33⋊C4 | φ: C22×C4/C22 → C4 ⊆ Aut C33 | 48 | | C3^3:9(C2^2xC4) | 432,766 |
| C33⋊10(C22×C4) = S3×C6×Dic3 | φ: C22×C4/C22 → C22 ⊆ Aut C33 | 48 | | C3^3:10(C2^2xC4) | 432,651 |
| C33⋊11(C22×C4) = C6×C6.D6 | φ: C22×C4/C22 → C22 ⊆ Aut C33 | 48 | | C3^3:11(C2^2xC4) | 432,654 |
| C33⋊12(C22×C4) = C2×S3×C3⋊Dic3 | φ: C22×C4/C22 → C22 ⊆ Aut C33 | 144 | | C3^3:12(C2^2xC4) | 432,674 |
| C33⋊13(C22×C4) = C2×Dic3×C3⋊S3 | φ: C22×C4/C22 → C22 ⊆ Aut C33 | 144 | | C3^3:13(C2^2xC4) | 432,677 |
| C33⋊14(C22×C4) = C2×C33⋊8(C2×C4) | φ: C22×C4/C22 → C22 ⊆ Aut C33 | 72 | | C3^3:14(C2^2xC4) | 432,679 |
| C33⋊15(C22×C4) = C2×C33⋊9(C2×C4) | φ: C22×C4/C22 → C22 ⊆ Aut C33 | 48 | | C3^3:15(C2^2xC4) | 432,692 |
| C33⋊16(C22×C4) = S3×C6×C12 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C33 | 144 | | C3^3:16(C2^2xC4) | 432,701 |
| C33⋊17(C22×C4) = C3⋊S3×C2×C12 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C33 | 144 | | C3^3:17(C2^2xC4) | 432,711 |
| C33⋊18(C22×C4) = C2×C4×C33⋊C2 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C33 | 216 | | C3^3:18(C2^2xC4) | 432,721 |
| C33⋊19(C22×C4) = Dic3×C62 | φ: C22×C4/C23 → C2 ⊆ Aut C33 | 144 | | C3^3:19(C2^2xC4) | 432,708 |
| C33⋊20(C22×C4) = C2×C6×C3⋊Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C33 | 144 | | C3^3:20(C2^2xC4) | 432,718 |
| C33⋊21(C22×C4) = C22×C33⋊5C4 | φ: C22×C4/C23 → C2 ⊆ Aut C33 | 432 | | C3^3:21(C2^2xC4) | 432,728 |