| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C3×C22⋊C4) = C3×C42⋊4S3 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 24 | 2 | C6.1(C3xC2^2:C4) | 288,239 |
| C6.2(C3×C22⋊C4) = C3×C23.6D6 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 24 | 4 | C6.2(C3xC2^2:C4) | 288,240 |
| C6.3(C3×C22⋊C4) = C3×C6.D8 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.3(C3xC2^2:C4) | 288,243 |
| C6.4(C3×C22⋊C4) = C3×C6.SD16 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.4(C3xC2^2:C4) | 288,244 |
| C6.5(C3×C22⋊C4) = C3×C2.Dic12 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.5(C3xC2^2:C4) | 288,250 |
| C6.6(C3×C22⋊C4) = C3×D6⋊C8 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.6(C3xC2^2:C4) | 288,254 |
| C6.7(C3×C22⋊C4) = C3×C2.D24 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.7(C3xC2^2:C4) | 288,255 |
| C6.8(C3×C22⋊C4) = C3×C12.46D4 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 48 | 4 | C6.8(C3xC2^2:C4) | 288,257 |
| C6.9(C3×C22⋊C4) = C3×C12.47D4 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 48 | 4 | C6.9(C3xC2^2:C4) | 288,258 |
| C6.10(C3×C22⋊C4) = C3×D12⋊C4 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 48 | 4 | C6.10(C3xC2^2:C4) | 288,259 |
| C6.11(C3×C22⋊C4) = C3×C6.C42 | φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C6 | 96 | | C6.11(C3xC2^2:C4) | 288,265 |
| C6.12(C3×C22⋊C4) = C3×C12.55D4 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 48 | | C6.12(C3xC2^2:C4) | 288,264 |
| C6.13(C3×C22⋊C4) = C3×D4⋊Dic3 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 48 | | C6.13(C3xC2^2:C4) | 288,266 |
| C6.14(C3×C22⋊C4) = C3×C12.D4 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 24 | 4 | C6.14(C3xC2^2:C4) | 288,267 |
| C6.15(C3×C22⋊C4) = C3×C23.7D6 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 24 | 4 | C6.15(C3xC2^2:C4) | 288,268 |
| C6.16(C3×C22⋊C4) = C3×Q8⋊2Dic3 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 96 | | C6.16(C3xC2^2:C4) | 288,269 |
| C6.17(C3×C22⋊C4) = C3×C12.10D4 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 48 | 4 | C6.17(C3xC2^2:C4) | 288,270 |
| C6.18(C3×C22⋊C4) = C3×Q8⋊3Dic3 | φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C6 | 48 | 4 | C6.18(C3xC2^2:C4) | 288,271 |
| C6.19(C3×C22⋊C4) = C9×C2.C42 | central extension (φ=1) | 288 | | C6.19(C3xC2^2:C4) | 288,45 |
| C6.20(C3×C22⋊C4) = C9×C22⋊C8 | central extension (φ=1) | 144 | | C6.20(C3xC2^2:C4) | 288,48 |
| C6.21(C3×C22⋊C4) = C9×C23⋊C4 | central extension (φ=1) | 72 | 4 | C6.21(C3xC2^2:C4) | 288,49 |
| C6.22(C3×C22⋊C4) = C9×C4.D4 | central extension (φ=1) | 72 | 4 | C6.22(C3xC2^2:C4) | 288,50 |
| C6.23(C3×C22⋊C4) = C9×C4.10D4 | central extension (φ=1) | 144 | 4 | C6.23(C3xC2^2:C4) | 288,51 |
| C6.24(C3×C22⋊C4) = C9×D4⋊C4 | central extension (φ=1) | 144 | | C6.24(C3xC2^2:C4) | 288,52 |
| C6.25(C3×C22⋊C4) = C9×Q8⋊C4 | central extension (φ=1) | 288 | | C6.25(C3xC2^2:C4) | 288,53 |
| C6.26(C3×C22⋊C4) = C9×C4≀C2 | central extension (φ=1) | 72 | 2 | C6.26(C3xC2^2:C4) | 288,54 |
| C6.27(C3×C22⋊C4) = C22⋊C4×C18 | central extension (φ=1) | 144 | | C6.27(C3xC2^2:C4) | 288,165 |
| C6.28(C3×C22⋊C4) = C32×C2.C42 | central extension (φ=1) | 288 | | C6.28(C3xC2^2:C4) | 288,313 |
| C6.29(C3×C22⋊C4) = C32×C22⋊C8 | central extension (φ=1) | 144 | | C6.29(C3xC2^2:C4) | 288,316 |
| C6.30(C3×C22⋊C4) = C32×C23⋊C4 | central extension (φ=1) | 72 | | C6.30(C3xC2^2:C4) | 288,317 |
| C6.31(C3×C22⋊C4) = C32×C4.D4 | central extension (φ=1) | 72 | | C6.31(C3xC2^2:C4) | 288,318 |
| C6.32(C3×C22⋊C4) = C32×C4.10D4 | central extension (φ=1) | 144 | | C6.32(C3xC2^2:C4) | 288,319 |
| C6.33(C3×C22⋊C4) = C32×D4⋊C4 | central extension (φ=1) | 144 | | C6.33(C3xC2^2:C4) | 288,320 |
| C6.34(C3×C22⋊C4) = C32×Q8⋊C4 | central extension (φ=1) | 288 | | C6.34(C3xC2^2:C4) | 288,321 |
| C6.35(C3×C22⋊C4) = C32×C4≀C2 | central extension (φ=1) | 72 | | C6.35(C3xC2^2:C4) | 288,322 |