| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C3×C4⋊C4) = C3×C12⋊C8 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.1(C3xC4:C4) | 288,238 |
| C6.2(C3×C4⋊C4) = C3×C6.Q16 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.2(C3xC4:C4) | 288,241 |
| C6.3(C3×C4⋊C4) = C3×C12.Q8 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.3(C3xC4:C4) | 288,242 |
| C6.4(C3×C4⋊C4) = C3×Dic3⋊C8 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.4(C3xC4:C4) | 288,248 |
| C6.5(C3×C4⋊C4) = C3×C8⋊Dic3 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.5(C3xC4:C4) | 288,251 |
| C6.6(C3×C4⋊C4) = C3×C24⋊1C4 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.6(C3xC4:C4) | 288,252 |
| C6.7(C3×C4⋊C4) = C3×C24.C4 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 48 | 2 | C6.7(C3xC4:C4) | 288,253 |
| C6.8(C3×C4⋊C4) = C3×C12.53D4 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 48 | 4 | C6.8(C3xC4:C4) | 288,256 |
| C6.9(C3×C4⋊C4) = C3×C6.C42 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.9(C3xC4:C4) | 288,265 |
| C6.10(C3×C4⋊C4) = C9×C2.C42 | central extension (φ=1) | 288 | | C6.10(C3xC4:C4) | 288,45 |
| C6.11(C3×C4⋊C4) = C9×C4⋊C8 | central extension (φ=1) | 288 | | C6.11(C3xC4:C4) | 288,55 |
| C6.12(C3×C4⋊C4) = C9×C4.Q8 | central extension (φ=1) | 288 | | C6.12(C3xC4:C4) | 288,56 |
| C6.13(C3×C4⋊C4) = C9×C2.D8 | central extension (φ=1) | 288 | | C6.13(C3xC4:C4) | 288,57 |
| C6.14(C3×C4⋊C4) = C9×C8.C4 | central extension (φ=1) | 144 | 2 | C6.14(C3xC4:C4) | 288,58 |
| C6.15(C3×C4⋊C4) = C4⋊C4×C18 | central extension (φ=1) | 288 | | C6.15(C3xC4:C4) | 288,166 |
| C6.16(C3×C4⋊C4) = C32×C2.C42 | central extension (φ=1) | 288 | | C6.16(C3xC4:C4) | 288,313 |
| C6.17(C3×C4⋊C4) = C32×C4⋊C8 | central extension (φ=1) | 288 | | C6.17(C3xC4:C4) | 288,323 |
| C6.18(C3×C4⋊C4) = C32×C4.Q8 | central extension (φ=1) | 288 | | C6.18(C3xC4:C4) | 288,324 |
| C6.19(C3×C4⋊C4) = C32×C2.D8 | central extension (φ=1) | 288 | | C6.19(C3xC4:C4) | 288,325 |
| C6.20(C3×C4⋊C4) = C32×C8.C4 | central extension (φ=1) | 144 | | C6.20(C3xC4:C4) | 288,326 |