| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C6×C12) = S3×C3×C24 | φ: C6×C12/C3×C12 → C2 ⊆ Aut C6 | 144 | | C6.1(C6xC12) | 432,464 |
| C6.2(C6×C12) = C32×C8⋊S3 | φ: C6×C12/C3×C12 → C2 ⊆ Aut C6 | 144 | | C6.2(C6xC12) | 432,465 |
| C6.3(C6×C12) = Dic3×C3×C12 | φ: C6×C12/C3×C12 → C2 ⊆ Aut C6 | 144 | | C6.3(C6xC12) | 432,471 |
| C6.4(C6×C12) = C32×Dic3⋊C4 | φ: C6×C12/C3×C12 → C2 ⊆ Aut C6 | 144 | | C6.4(C6xC12) | 432,472 |
| C6.5(C6×C12) = C32×D6⋊C4 | φ: C6×C12/C3×C12 → C2 ⊆ Aut C6 | 144 | | C6.5(C6xC12) | 432,474 |
| C6.6(C6×C12) = C3×C6×C3⋊C8 | φ: C6×C12/C62 → C2 ⊆ Aut C6 | 144 | | C6.6(C6xC12) | 432,469 |
| C6.7(C6×C12) = C32×C4.Dic3 | φ: C6×C12/C62 → C2 ⊆ Aut C6 | 72 | | C6.7(C6xC12) | 432,470 |
| C6.8(C6×C12) = C32×C4⋊Dic3 | φ: C6×C12/C62 → C2 ⊆ Aut C6 | 144 | | C6.8(C6xC12) | 432,473 |
| C6.9(C6×C12) = C32×C6.D4 | φ: C6×C12/C62 → C2 ⊆ Aut C6 | 72 | | C6.9(C6xC12) | 432,479 |
| C6.10(C6×C12) = C42×He3 | central extension (φ=1) | 144 | | C6.10(C6xC12) | 432,201 |
| C6.11(C6×C12) = C42×3- 1+2 | central extension (φ=1) | 144 | | C6.11(C6xC12) | 432,202 |
| C6.12(C6×C12) = C22⋊C4×C3×C9 | central extension (φ=1) | 216 | | C6.12(C6xC12) | 432,203 |
| C6.13(C6×C12) = C4⋊C4×C3×C9 | central extension (φ=1) | 432 | | C6.13(C6xC12) | 432,206 |
| C6.14(C6×C12) = C2×C8×He3 | central extension (φ=1) | 144 | | C6.14(C6xC12) | 432,210 |
| C6.15(C6×C12) = C2×C8×3- 1+2 | central extension (φ=1) | 144 | | C6.15(C6xC12) | 432,211 |
| C6.16(C6×C12) = M4(2)×C3×C9 | central extension (φ=1) | 216 | | C6.16(C6xC12) | 432,212 |
| C6.17(C6×C12) = C22×C4×He3 | central extension (φ=1) | 144 | | C6.17(C6xC12) | 432,401 |
| C6.18(C6×C12) = C22×C4×3- 1+2 | central extension (φ=1) | 144 | | C6.18(C6xC12) | 432,402 |
| C6.19(C6×C12) = C22⋊C4×C33 | central extension (φ=1) | 216 | | C6.19(C6xC12) | 432,513 |
| C6.20(C6×C12) = C4⋊C4×C33 | central extension (φ=1) | 432 | | C6.20(C6xC12) | 432,514 |
| C6.21(C6×C12) = M4(2)×C33 | central extension (φ=1) | 216 | | C6.21(C6xC12) | 432,516 |
| C6.22(C6×C12) = C22⋊C4×He3 | central stem extension (φ=1) | 72 | | C6.22(C6xC12) | 432,204 |
| C6.23(C6×C12) = C22⋊C4×3- 1+2 | central stem extension (φ=1) | 72 | | C6.23(C6xC12) | 432,205 |
| C6.24(C6×C12) = C4⋊C4×He3 | central stem extension (φ=1) | 144 | | C6.24(C6xC12) | 432,207 |
| C6.25(C6×C12) = C4⋊C4×3- 1+2 | central stem extension (φ=1) | 144 | | C6.25(C6xC12) | 432,208 |
| C6.26(C6×C12) = M4(2)×He3 | central stem extension (φ=1) | 72 | 6 | C6.26(C6xC12) | 432,213 |
| C6.27(C6×C12) = M4(2)×3- 1+2 | central stem extension (φ=1) | 72 | 6 | C6.27(C6xC12) | 432,214 |