| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C3×D4) = C3×C24⋊C2 | φ: C3×D4/C12 → C2 ⊆ Aut C6 | 48 | 2 | C6.1(C3xD4) | 144,71 |
| C6.2(C3×D4) = C3×D24 | φ: C3×D4/C12 → C2 ⊆ Aut C6 | 48 | 2 | C6.2(C3xD4) | 144,72 |
| C6.3(C3×D4) = C3×Dic12 | φ: C3×D4/C12 → C2 ⊆ Aut C6 | 48 | 2 | C6.3(C3xD4) | 144,73 |
| C6.4(C3×D4) = C3×C4⋊Dic3 | φ: C3×D4/C12 → C2 ⊆ Aut C6 | 48 | | C6.4(C3xD4) | 144,78 |
| C6.5(C3×D4) = C3×Dic3⋊C4 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 48 | | C6.5(C3xD4) | 144,77 |
| C6.6(C3×D4) = C3×D6⋊C4 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 48 | | C6.6(C3xD4) | 144,79 |
| C6.7(C3×D4) = C3×D4⋊S3 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 24 | 4 | C6.7(C3xD4) | 144,80 |
| C6.8(C3×D4) = C3×D4.S3 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 24 | 4 | C6.8(C3xD4) | 144,81 |
| C6.9(C3×D4) = C3×Q8⋊2S3 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 48 | 4 | C6.9(C3xD4) | 144,82 |
| C6.10(C3×D4) = C3×C3⋊Q16 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 48 | 4 | C6.10(C3xD4) | 144,83 |
| C6.11(C3×D4) = C3×C6.D4 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C6 | 24 | | C6.11(C3xD4) | 144,84 |
| C6.12(C3×D4) = C9×C22⋊C4 | central extension (φ=1) | 72 | | C6.12(C3xD4) | 144,21 |
| C6.13(C3×D4) = C9×C4⋊C4 | central extension (φ=1) | 144 | | C6.13(C3xD4) | 144,22 |
| C6.14(C3×D4) = C9×D8 | central extension (φ=1) | 72 | 2 | C6.14(C3xD4) | 144,25 |
| C6.15(C3×D4) = C9×SD16 | central extension (φ=1) | 72 | 2 | C6.15(C3xD4) | 144,26 |
| C6.16(C3×D4) = C9×Q16 | central extension (φ=1) | 144 | 2 | C6.16(C3xD4) | 144,27 |
| C6.17(C3×D4) = D4×C18 | central extension (φ=1) | 72 | | C6.17(C3xD4) | 144,48 |
| C6.18(C3×D4) = C32×C22⋊C4 | central extension (φ=1) | 72 | | C6.18(C3xD4) | 144,102 |
| C6.19(C3×D4) = C32×C4⋊C4 | central extension (φ=1) | 144 | | C6.19(C3xD4) | 144,103 |
| C6.20(C3×D4) = C32×D8 | central extension (φ=1) | 72 | | C6.20(C3xD4) | 144,106 |
| C6.21(C3×D4) = C32×SD16 | central extension (φ=1) | 72 | | C6.21(C3xD4) | 144,107 |
| C6.22(C3×D4) = C32×Q16 | central extension (φ=1) | 144 | | C6.22(C3xD4) | 144,108 |