| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|
| C12⋊S3⋊1C22 = S3×D24 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4+ | C12:S3:1C2^2 | 288,441 |
| C12⋊S3⋊2C22 = C24⋊1D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4+ | C12:S3:2C2^2 | 288,442 |
| C12⋊S3⋊3C22 = S3×D4⋊S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3:3C2^2 | 288,572 |
| C12⋊S3⋊4C22 = D12⋊D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3:4C2^2 | 288,574 |
| C12⋊S3⋊5C22 = D12.7D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3:5C2^2 | 288,582 |
| C12⋊S3⋊6C22 = D12.10D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3:6C2^2 | 288,589 |
| C12⋊S3⋊7C22 = D8×C3⋊S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 72 | | C12:S3:7C2^2 | 288,767 |
| C12⋊S3⋊8C22 = C24⋊7D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 72 | | C12:S3:8C2^2 | 288,771 |
| C12⋊S3⋊9C22 = S32×D4 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3:9C2^2 | 288,958 |
| C12⋊S3⋊10C22 = Dic6⋊12D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3:10C2^2 | 288,960 |
| C12⋊S3⋊11C22 = D12⋊13D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3:11C2^2 | 288,962 |
| C12⋊S3⋊12C22 = S3×Q8⋊3S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3:12C2^2 | 288,966 |
| C12⋊S3⋊13C22 = D12⋊16D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3:13C2^2 | 288,968 |
| C12⋊S3⋊14C22 = C2×C32⋊5D8 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:14C2^2 | 288,760 |
| C12⋊S3⋊15C22 = C24⋊3D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:15C2^2 | 288,765 |
| C12⋊S3⋊16C22 = C2×C3⋊D24 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | | C12:S3:16C2^2 | 288,472 |
| C12⋊S3⋊17C22 = D12.28D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:17C2^2 | 288,478 |
| C12⋊S3⋊18C22 = C2×C32⋊7D8 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:18C2^2 | 288,788 |
| C12⋊S3⋊19C22 = C62.131D4 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:19C2^2 | 288,789 |
| C12⋊S3⋊20C22 = C2×D6.6D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | | C12:S3:20C2^2 | 288,949 |
| C12⋊S3⋊21C22 = C2×S3×D12 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | | C12:S3:21C2^2 | 288,951 |
| C12⋊S3⋊22C22 = S3×C4○D12 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:22C2^2 | 288,953 |
| C12⋊S3⋊23C22 = D12⋊24D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3:23C2^2 | 288,955 |
| C12⋊S3⋊24C22 = D12⋊27D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 24 | 4+ | C12:S3:24C2^2 | 288,956 |
| C12⋊S3⋊25C22 = C2×D4×C3⋊S3 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:25C2^2 | 288,1007 |
| C12⋊S3⋊26C22 = C32⋊82+ 1+4 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:26C2^2 | 288,1009 |
| C12⋊S3⋊27C22 = C2×C12.26D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3:27C2^2 | 288,1011 |
| C12⋊S3⋊28C22 = C4○D4×C3⋊S3 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3:28C2^2 | 288,1013 |
| C12⋊S3⋊29C22 = C2×C12.59D6 | φ: trivial image | 144 | | C12:S3:29C2^2 | 288,1006 |
| C12⋊S3⋊30C22 = C62.154C23 | φ: trivial image | 72 | | C12:S3:30C2^2 | 288,1014 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|
| C12⋊S3.1C22 = S3×C24⋊C2 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.1C2^2 | 288,440 |
| C12⋊S3.2C22 = D24⋊S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.2C2^2 | 288,443 |
| C12⋊S3.3C22 = Dic12⋊S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.3C2^2 | 288,449 |
| C12⋊S3.4C22 = D6.1D12 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.4C2^2 | 288,454 |
| C12⋊S3.5C22 = D6.3D12 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 4+ | C12:S3.5C2^2 | 288,456 |
| C12⋊S3.6C22 = Dic6⋊3D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.6C2^2 | 288,573 |
| C12⋊S3.7C22 = Dic6⋊D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3.7C2^2 | 288,578 |
| C12⋊S3.8C22 = Dic6.20D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.8C2^2 | 288,583 |
| C12⋊S3.9C22 = D12⋊5D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 24 | 8+ | C12:S3.9C2^2 | 288,585 |
| C12⋊S3.10C22 = S3×Q8⋊2S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.10C2^2 | 288,586 |
| C12⋊S3.11C22 = D12⋊6D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.11C2^2 | 288,587 |
| C12⋊S3.12C22 = Dic6.10D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.12C2^2 | 288,593 |
| C12⋊S3.13C22 = Dic6.22D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.13C2^2 | 288,596 |
| C12⋊S3.14C22 = D12.13D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.14C2^2 | 288,597 |
| C12⋊S3.15C22 = D12.14D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.15C2^2 | 288,598 |
| C12⋊S3.16C22 = C24⋊8D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 72 | | C12:S3.16C2^2 | 288,768 |
| C12⋊S3.17C22 = SD16×C3⋊S3 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 72 | | C12:S3.17C2^2 | 288,770 |
| C12⋊S3.18C22 = C24.40D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 144 | | C12:S3.18C2^2 | 288,773 |
| C12⋊S3.19C22 = C24.35D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 144 | | C12:S3.19C2^2 | 288,775 |
| C12⋊S3.20C22 = C24.28D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 144 | | C12:S3.20C2^2 | 288,776 |
| C12⋊S3.21C22 = Dic6.26D6 | φ: C22/C1 → C22 ⊆ Out C12⋊S3 | 48 | 8+ | C12:S3.21C2^2 | 288,964 |
| C12⋊S3.22C22 = C2×C24⋊2S3 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.22C2^2 | 288,759 |
| C12⋊S3.23C22 = C24.78D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.23C2^2 | 288,761 |
| C12⋊S3.24C22 = C24.5D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.24C2^2 | 288,766 |
| C12⋊S3.25C22 = D12⋊18D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 24 | 4+ | C12:S3.25C2^2 | 288,473 |
| C12⋊S3.26C22 = D12.27D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.26C2^2 | 288,477 |
| C12⋊S3.27C22 = C2×C32⋊5SD16 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | | C12:S3.27C2^2 | 288,480 |
| C12⋊S3.28C22 = Dic6.29D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.28C2^2 | 288,481 |
| C12⋊S3.29C22 = C2×C32⋊11SD16 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.29C2^2 | 288,798 |
| C12⋊S3.30C22 = C62.134D4 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.30C2^2 | 288,799 |
| C12⋊S3.31C22 = C62.73D4 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 72 | | C12:S3.31C2^2 | 288,806 |
| C12⋊S3.32C22 = C62.74D4 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.32C2^2 | 288,807 |
| C12⋊S3.33C22 = D12.33D6 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 48 | 4 | C12:S3.33C2^2 | 288,945 |
| C12⋊S3.34C22 = C32⋊72- 1+4 | φ: C22/C2 → C2 ⊆ Out C12⋊S3 | 144 | | C12:S3.34C2^2 | 288,1012 |
| C12⋊S3.35C22 = C32⋊92- 1+4 | φ: trivial image | 144 | | C12:S3.35C2^2 | 288,1015 |