| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(S3×Q8) = C62.8C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.1(S3xQ8) | 288,486 |
| C6.2(S3×Q8) = C62.9C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.2(S3xQ8) | 288,487 |
| C6.3(S3×Q8) = C62.13C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.3(S3xQ8) | 288,491 |
| C6.4(S3×Q8) = C62.17C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.4(S3xQ8) | 288,495 |
| C6.5(S3×Q8) = C62.35C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 48 | | C6.5(S3xQ8) | 288,513 |
| C6.6(S3×Q8) = C62.40C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.6(S3xQ8) | 288,518 |
| C6.7(S3×Q8) = C12.30D12 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 48 | | C6.7(S3xQ8) | 288,519 |
| C6.8(S3×Q8) = C62.43C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.8(S3xQ8) | 288,521 |
| C6.9(S3×Q8) = C62.53C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 48 | | C6.9(S3xQ8) | 288,531 |
| C6.10(S3×Q8) = C62.58C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 48 | | C6.10(S3xQ8) | 288,536 |
| C6.11(S3×Q8) = C62.65C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 48 | | C6.11(S3xQ8) | 288,543 |
| C6.12(S3×Q8) = C62.70C23 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 48 | | C6.12(S3xQ8) | 288,548 |
| C6.13(S3×Q8) = C12⋊Dic6 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C6 | 96 | | C6.13(S3xQ8) | 288,567 |
| C6.14(S3×Q8) = Dic3⋊5Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.14(S3xQ8) | 288,485 |
| C6.15(S3×Q8) = C62.10C23 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.15(S3xQ8) | 288,488 |
| C6.16(S3×Q8) = Dic3×Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.16(S3xQ8) | 288,490 |
| C6.17(S3×Q8) = Dic3⋊6Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.17(S3xQ8) | 288,492 |
| C6.18(S3×Q8) = Dic3.Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.18(S3xQ8) | 288,493 |
| C6.19(S3×Q8) = C62.16C23 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.19(S3xQ8) | 288,494 |
| C6.20(S3×Q8) = D6⋊Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.20(S3xQ8) | 288,499 |
| C6.21(S3×Q8) = D6⋊6Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.21(S3xQ8) | 288,504 |
| C6.22(S3×Q8) = D6⋊7Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.22(S3xQ8) | 288,505 |
| C6.23(S3×Q8) = Dic3⋊Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.23(S3xQ8) | 288,514 |
| C6.24(S3×Q8) = C62.37C23 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.24(S3xQ8) | 288,515 |
| C6.25(S3×Q8) = S3×Dic3⋊C4 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.25(S3xQ8) | 288,524 |
| C6.26(S3×Q8) = D6⋊1Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.26(S3xQ8) | 288,535 |
| C6.27(S3×Q8) = S3×C4⋊Dic3 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.27(S3xQ8) | 288,537 |
| C6.28(S3×Q8) = D6⋊2Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.28(S3xQ8) | 288,541 |
| C6.29(S3×Q8) = D6⋊3Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.29(S3xQ8) | 288,544 |
| C6.30(S3×Q8) = D6⋊4Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.30(S3xQ8) | 288,547 |
| C6.31(S3×Q8) = C12⋊3Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C6 | 96 | | C6.31(S3xQ8) | 288,566 |
| C6.32(S3×Q8) = Dic9⋊3Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.32(S3xQ8) | 288,97 |
| C6.33(S3×Q8) = C36⋊Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.33(S3xQ8) | 288,98 |
| C6.34(S3×Q8) = Dic9.Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.34(S3xQ8) | 288,99 |
| C6.35(S3×Q8) = C4⋊C4×D9 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.35(S3xQ8) | 288,101 |
| C6.36(S3×Q8) = D18⋊Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.36(S3xQ8) | 288,106 |
| C6.37(S3×Q8) = D18⋊2Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.37(S3xQ8) | 288,107 |
| C6.38(S3×Q8) = Dic9⋊Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.38(S3xQ8) | 288,154 |
| C6.39(S3×Q8) = Q8×Dic9 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.39(S3xQ8) | 288,155 |
| C6.40(S3×Q8) = D18⋊3Q8 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.40(S3xQ8) | 288,156 |
| C6.41(S3×Q8) = C2×Q8×D9 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.41(S3xQ8) | 288,359 |
| C6.42(S3×Q8) = C62.231C23 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.42(S3xQ8) | 288,744 |
| C6.43(S3×Q8) = C12⋊2Dic6 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.43(S3xQ8) | 288,745 |
| C6.44(S3×Q8) = C62.233C23 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.44(S3xQ8) | 288,746 |
| C6.45(S3×Q8) = C4⋊C4×C3⋊S3 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.45(S3xQ8) | 288,748 |
| C6.46(S3×Q8) = C62.240C23 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.46(S3xQ8) | 288,753 |
| C6.47(S3×Q8) = C12.31D12 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.47(S3xQ8) | 288,754 |
| C6.48(S3×Q8) = C62.259C23 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.48(S3xQ8) | 288,801 |
| C6.49(S3×Q8) = Q8×C3⋊Dic3 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 288 | | C6.49(S3xQ8) | 288,802 |
| C6.50(S3×Q8) = C62.261C23 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C6 | 144 | | C6.50(S3xQ8) | 288,803 |
| C6.51(S3×Q8) = C3×Dic6⋊C4 | central extension (φ=1) | 96 | | C6.51(S3xQ8) | 288,658 |
| C6.52(S3×Q8) = C3×C12⋊Q8 | central extension (φ=1) | 96 | | C6.52(S3xQ8) | 288,659 |
| C6.53(S3×Q8) = C3×Dic3.Q8 | central extension (φ=1) | 96 | | C6.53(S3xQ8) | 288,660 |
| C6.54(S3×Q8) = C3×S3×C4⋊C4 | central extension (φ=1) | 96 | | C6.54(S3xQ8) | 288,662 |
| C6.55(S3×Q8) = C3×D6⋊Q8 | central extension (φ=1) | 96 | | C6.55(S3xQ8) | 288,667 |
| C6.56(S3×Q8) = C3×C4.D12 | central extension (φ=1) | 96 | | C6.56(S3xQ8) | 288,668 |
| C6.57(S3×Q8) = C3×Dic3⋊Q8 | central extension (φ=1) | 96 | | C6.57(S3xQ8) | 288,715 |
| C6.58(S3×Q8) = C3×Q8×Dic3 | central extension (φ=1) | 96 | | C6.58(S3xQ8) | 288,716 |
| C6.59(S3×Q8) = C3×D6⋊3Q8 | central extension (φ=1) | 96 | | C6.59(S3xQ8) | 288,717 |