| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C8.1(C22×S3) = D8⋊4D6 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 48 | 8- | C8.1(C2^2xS3) | 192,1332 |
| C8.2(C22×S3) = D8⋊5D6 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 48 | 8+ | C8.2(C2^2xS3) | 192,1333 |
| C8.3(C22×S3) = D8⋊6D6 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 48 | 8- | C8.3(C2^2xS3) | 192,1334 |
| C8.4(C22×S3) = S3×C8.C22 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 48 | 8- | C8.4(C2^2xS3) | 192,1335 |
| C8.5(C22×S3) = D24⋊C22 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 48 | 8+ | C8.5(C2^2xS3) | 192,1336 |
| C8.6(C22×S3) = C24.C23 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 48 | 8+ | C8.6(C2^2xS3) | 192,1337 |
| C8.7(C22×S3) = SD16.D6 | φ: C22×S3/S3 → C22 ⊆ Aut C8 | 96 | 8- | C8.7(C2^2xS3) | 192,1338 |
| C8.8(C22×S3) = C2×C8.D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 96 | | C8.8(C2^2xS3) | 192,1306 |
| C8.9(C22×S3) = C24.9C23 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 48 | 4 | C8.9(C2^2xS3) | 192,1307 |
| C8.10(C22×S3) = D8⋊13D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 48 | 4 | C8.10(C2^2xS3) | 192,1316 |
| C8.11(C22×S3) = C2×D4.D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 96 | | C8.11(C2^2xS3) | 192,1319 |
| C8.12(C22×S3) = SD16⋊13D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 48 | 4 | C8.12(C2^2xS3) | 192,1321 |
| C8.13(C22×S3) = C2×Q16⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 96 | | C8.13(C2^2xS3) | 192,1323 |
| C8.14(C22×S3) = D12.30D4 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 96 | 4 | C8.14(C2^2xS3) | 192,1325 |
| C8.15(C22×S3) = SD16⋊D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 48 | 4 | C8.15(C2^2xS3) | 192,1327 |
| C8.16(C22×S3) = D8⋊15D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 48 | 4+ | C8.16(C2^2xS3) | 192,1328 |
| C8.17(C22×S3) = D8⋊11D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 48 | 4 | C8.17(C2^2xS3) | 192,1329 |
| C8.18(C22×S3) = D8.10D6 | φ: C22×S3/C6 → C22 ⊆ Aut C8 | 96 | 4- | C8.18(C2^2xS3) | 192,1330 |
| C8.19(C22×S3) = S3×D16 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4+ | C8.19(C2^2xS3) | 192,469 |
| C8.20(C22×S3) = D8⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4 | C8.20(C2^2xS3) | 192,470 |
| C8.21(C22×S3) = D16⋊3S3 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4- | C8.21(C2^2xS3) | 192,471 |
| C8.22(C22×S3) = S3×SD32 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4 | C8.22(C2^2xS3) | 192,472 |
| C8.23(C22×S3) = D48⋊C2 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4+ | C8.23(C2^2xS3) | 192,473 |
| C8.24(C22×S3) = SD32⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4- | C8.24(C2^2xS3) | 192,474 |
| C8.25(C22×S3) = D6.2D8 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4 | C8.25(C2^2xS3) | 192,475 |
| C8.26(C22×S3) = S3×Q32 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4- | C8.26(C2^2xS3) | 192,476 |
| C8.27(C22×S3) = Q32⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4 | C8.27(C2^2xS3) | 192,477 |
| C8.28(C22×S3) = D48⋊5C2 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4+ | C8.28(C2^2xS3) | 192,478 |
| C8.29(C22×S3) = C2×C3⋊D16 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.29(C2^2xS3) | 192,705 |
| C8.30(C22×S3) = D8.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4 | C8.30(C2^2xS3) | 192,706 |
| C8.31(C22×S3) = C2×D8.S3 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.31(C2^2xS3) | 192,707 |
| C8.32(C22×S3) = C2×C8.6D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.32(C2^2xS3) | 192,737 |
| C8.33(C22×S3) = C24.27C23 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4 | C8.33(C2^2xS3) | 192,738 |
| C8.34(C22×S3) = C2×C3⋊Q32 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 192 | | C8.34(C2^2xS3) | 192,739 |
| C8.35(C22×S3) = Q16⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4+ | C8.35(C2^2xS3) | 192,752 |
| C8.36(C22×S3) = Q16.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4 | C8.36(C2^2xS3) | 192,753 |
| C8.37(C22×S3) = D8.9D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | 4- | C8.37(C2^2xS3) | 192,754 |
| C8.38(C22×S3) = C2×D8⋊3S3 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.38(C2^2xS3) | 192,1315 |
| C8.39(C22×S3) = C2×S3×Q16 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.39(C2^2xS3) | 192,1322 |
| C8.40(C22×S3) = C2×D24⋊C2 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.40(C2^2xS3) | 192,1324 |
| C8.41(C22×S3) = C2×Q8.7D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.41(C2^2xS3) | 192,1320 |
| C8.42(C22×S3) = S3×C4○D8 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4 | C8.42(C2^2xS3) | 192,1326 |
| C8.43(C22×S3) = C2×D12.C4 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 96 | | C8.43(C2^2xS3) | 192,1303 |
| C8.44(C22×S3) = M4(2)⋊26D6 | φ: C22×S3/D6 → C2 ⊆ Aut C8 | 48 | 4 | C8.44(C2^2xS3) | 192,1304 |
| C8.45(C22×S3) = C2×D48 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 96 | | C8.45(C2^2xS3) | 192,461 |
| C8.46(C22×S3) = C2×C48⋊C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 96 | | C8.46(C2^2xS3) | 192,462 |
| C8.47(C22×S3) = D48⋊7C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 96 | 2 | C8.47(C2^2xS3) | 192,463 |
| C8.48(C22×S3) = C2×Dic24 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 192 | | C8.48(C2^2xS3) | 192,464 |
| C8.49(C22×S3) = C16⋊D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 48 | 4+ | C8.49(C2^2xS3) | 192,467 |
| C8.50(C22×S3) = C16.D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 96 | 4- | C8.50(C2^2xS3) | 192,468 |
| C8.51(C22×S3) = C2×C4○D24 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 96 | | C8.51(C2^2xS3) | 192,1300 |
| C8.52(C22×S3) = C22×Dic12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 192 | | C8.52(C2^2xS3) | 192,1301 |
| C8.53(C22×S3) = D4.12D12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 48 | 4+ | C8.53(C2^2xS3) | 192,1311 |
| C8.54(C22×S3) = D4.13D12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 96 | 4- | C8.54(C2^2xS3) | 192,1312 |
| C8.55(C22×S3) = D4.11D12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 48 | 4 | C8.55(C2^2xS3) | 192,1310 |
| C8.56(C22×S3) = M4(2)⋊28D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C8 | 48 | 4 | C8.56(C2^2xS3) | 192,1309 |
| C8.57(C22×S3) = S3×C2×C16 | central extension (φ=1) | 96 | | C8.57(C2^2xS3) | 192,458 |
| C8.58(C22×S3) = C2×D6.C8 | central extension (φ=1) | 96 | | C8.58(C2^2xS3) | 192,459 |
| C8.59(C22×S3) = D12.4C8 | central extension (φ=1) | 96 | 2 | C8.59(C2^2xS3) | 192,460 |
| C8.60(C22×S3) = S3×M5(2) | central extension (φ=1) | 48 | 4 | C8.60(C2^2xS3) | 192,465 |
| C8.61(C22×S3) = C16.12D6 | central extension (φ=1) | 96 | 4 | C8.61(C2^2xS3) | 192,466 |
| C8.62(C22×S3) = C22×C3⋊C16 | central extension (φ=1) | 192 | | C8.62(C2^2xS3) | 192,655 |
| C8.63(C22×S3) = C2×C12.C8 | central extension (φ=1) | 96 | | C8.63(C2^2xS3) | 192,656 |
| C8.64(C22×S3) = C24.78C23 | central extension (φ=1) | 96 | 4 | C8.64(C2^2xS3) | 192,699 |
| C8.65(C22×S3) = C2×C8○D12 | central extension (φ=1) | 96 | | C8.65(C2^2xS3) | 192,1297 |
| C8.66(C22×S3) = S3×C8○D4 | central extension (φ=1) | 48 | 4 | C8.66(C2^2xS3) | 192,1308 |