| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(S3×C23) = C2×S3×D8 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.1(S3xC2^3) | 192,1313 |
| C4.2(S3×C23) = C2×D8⋊S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.2(S3xC2^3) | 192,1314 |
| C4.3(S3×C23) = C2×D8⋊3S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.3(S3xC2^3) | 192,1315 |
| C4.4(S3×C23) = D8⋊13D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.4(S3xC2^3) | 192,1316 |
| C4.5(S3×C23) = C2×S3×SD16 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.5(S3xC2^3) | 192,1317 |
| C4.6(S3×C23) = C2×Q8⋊3D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.6(S3xC2^3) | 192,1318 |
| C4.7(S3×C23) = C2×D4.D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.7(S3xC2^3) | 192,1319 |
| C4.8(S3×C23) = C2×Q8.7D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.8(S3xC2^3) | 192,1320 |
| C4.9(S3×C23) = SD16⋊13D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.9(S3xC2^3) | 192,1321 |
| C4.10(S3×C23) = C2×S3×Q16 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.10(S3xC2^3) | 192,1322 |
| C4.11(S3×C23) = C2×Q16⋊S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.11(S3xC2^3) | 192,1323 |
| C4.12(S3×C23) = C2×D24⋊C2 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.12(S3xC2^3) | 192,1324 |
| C4.13(S3×C23) = D12.30D4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | 4 | C4.13(S3xC2^3) | 192,1325 |
| C4.14(S3×C23) = S3×C4○D8 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.14(S3xC2^3) | 192,1326 |
| C4.15(S3×C23) = SD16⋊D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.15(S3xC2^3) | 192,1327 |
| C4.16(S3×C23) = D8⋊15D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4+ | C4.16(S3xC2^3) | 192,1328 |
| C4.17(S3×C23) = D8⋊11D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.17(S3xC2^3) | 192,1329 |
| C4.18(S3×C23) = D8.10D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | 4- | C4.18(S3xC2^3) | 192,1330 |
| C4.19(S3×C23) = S3×C8⋊C22 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 24 | 8+ | C4.19(S3xC2^3) | 192,1331 |
| C4.20(S3×C23) = D8⋊4D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8- | C4.20(S3xC2^3) | 192,1332 |
| C4.21(S3×C23) = D8⋊5D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8+ | C4.21(S3xC2^3) | 192,1333 |
| C4.22(S3×C23) = D8⋊6D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8- | C4.22(S3xC2^3) | 192,1334 |
| C4.23(S3×C23) = S3×C8.C22 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8- | C4.23(S3xC2^3) | 192,1335 |
| C4.24(S3×C23) = D24⋊C22 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8+ | C4.24(S3xC2^3) | 192,1336 |
| C4.25(S3×C23) = C24.C23 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8+ | C4.25(S3xC2^3) | 192,1337 |
| C4.26(S3×C23) = SD16.D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | 8- | C4.26(S3xC2^3) | 192,1338 |
| C4.27(S3×C23) = C22×D4⋊S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.27(S3xC2^3) | 192,1351 |
| C4.28(S3×C23) = C2×D12⋊6C22 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.28(S3xC2^3) | 192,1352 |
| C4.29(S3×C23) = C22×D4.S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.29(S3xC2^3) | 192,1353 |
| C4.30(S3×C23) = C22×Q8⋊2S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.30(S3xC2^3) | 192,1366 |
| C4.31(S3×C23) = C2×Q8.11D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.31(S3xC2^3) | 192,1367 |
| C4.32(S3×C23) = C22×C3⋊Q16 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 192 | | C4.32(S3xC2^3) | 192,1368 |
| C4.33(S3×C23) = C2×D4⋊D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.33(S3xC2^3) | 192,1379 |
| C4.34(S3×C23) = C2×Q8.13D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.34(S3xC2^3) | 192,1380 |
| C4.35(S3×C23) = C12.C24 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.35(S3xC2^3) | 192,1381 |
| C4.36(S3×C23) = C2×Q8.14D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.36(S3xC2^3) | 192,1382 |
| C4.37(S3×C23) = D12.32C23 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8+ | C4.37(S3xC2^3) | 192,1394 |
| C4.38(S3×C23) = D12.33C23 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8- | C4.38(S3xC2^3) | 192,1395 |
| C4.39(S3×C23) = D12.34C23 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8+ | C4.39(S3xC2^3) | 192,1396 |
| C4.40(S3×C23) = D12.35C23 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | 8- | C4.40(S3xC2^3) | 192,1397 |
| C4.41(S3×C23) = C22×D4⋊2S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.41(S3xC2^3) | 192,1515 |
| C4.42(S3×C23) = C2×D4⋊6D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | | C4.42(S3xC2^3) | 192,1516 |
| C4.43(S3×C23) = C22×S3×Q8 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.43(S3xC2^3) | 192,1517 |
| C4.44(S3×C23) = C22×Q8⋊3S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.44(S3xC2^3) | 192,1518 |
| C4.45(S3×C23) = C2×Q8.15D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 96 | | C4.45(S3xC2^3) | 192,1519 |
| C4.46(S3×C23) = C6.C25 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.46(S3xC2^3) | 192,1523 |
| C4.47(S3×C23) = S3×2+ 1+4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 24 | 8+ | C4.47(S3xC2^3) | 192,1524 |
| C4.48(S3×C23) = D6.C24 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8- | C4.48(S3xC2^3) | 192,1525 |
| C4.49(S3×C23) = S3×2- 1+4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8- | C4.49(S3xC2^3) | 192,1526 |
| C4.50(S3×C23) = D12.39C23 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C4 | 48 | 8+ | C4.50(S3xC2^3) | 192,1527 |
| C4.51(S3×C23) = C22×C24⋊C2 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 96 | | C4.51(S3xC2^3) | 192,1298 |
| C4.52(S3×C23) = C22×D24 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 96 | | C4.52(S3xC2^3) | 192,1299 |
| C4.53(S3×C23) = C2×C4○D24 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 96 | | C4.53(S3xC2^3) | 192,1300 |
| C4.54(S3×C23) = C22×Dic12 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 192 | | C4.54(S3xC2^3) | 192,1301 |
| C4.55(S3×C23) = C2×C8⋊D6 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 48 | | C4.55(S3xC2^3) | 192,1305 |
| C4.56(S3×C23) = C2×C8.D6 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 96 | | C4.56(S3xC2^3) | 192,1306 |
| C4.57(S3×C23) = C24.9C23 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.57(S3xC2^3) | 192,1307 |
| C4.58(S3×C23) = D4.11D12 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.58(S3xC2^3) | 192,1310 |
| C4.59(S3×C23) = D4.12D12 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 48 | 4+ | C4.59(S3xC2^3) | 192,1311 |
| C4.60(S3×C23) = D4.13D12 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 96 | 4- | C4.60(S3xC2^3) | 192,1312 |
| C4.61(S3×C23) = C23×Dic6 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 192 | | C4.61(S3xC2^3) | 192,1510 |
| C4.62(S3×C23) = C2×D4○D12 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 48 | | C4.62(S3xC2^3) | 192,1521 |
| C4.63(S3×C23) = C2×Q8○D12 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C4 | 96 | | C4.63(S3xC2^3) | 192,1522 |
| C4.64(S3×C23) = S3×C22×C8 | central extension (φ=1) | 96 | | C4.64(S3xC2^3) | 192,1295 |
| C4.65(S3×C23) = C22×C8⋊S3 | central extension (φ=1) | 96 | | C4.65(S3xC2^3) | 192,1296 |
| C4.66(S3×C23) = C2×C8○D12 | central extension (φ=1) | 96 | | C4.66(S3xC2^3) | 192,1297 |
| C4.67(S3×C23) = C2×S3×M4(2) | central extension (φ=1) | 48 | | C4.67(S3xC2^3) | 192,1302 |
| C4.68(S3×C23) = C2×D12.C4 | central extension (φ=1) | 96 | | C4.68(S3xC2^3) | 192,1303 |
| C4.69(S3×C23) = M4(2)⋊26D6 | central extension (φ=1) | 48 | 4 | C4.69(S3xC2^3) | 192,1304 |
| C4.70(S3×C23) = S3×C8○D4 | central extension (φ=1) | 48 | 4 | C4.70(S3xC2^3) | 192,1308 |
| C4.71(S3×C23) = M4(2)⋊28D6 | central extension (φ=1) | 48 | 4 | C4.71(S3xC2^3) | 192,1309 |
| C4.72(S3×C23) = C23×C3⋊C8 | central extension (φ=1) | 192 | | C4.72(S3xC2^3) | 192,1339 |
| C4.73(S3×C23) = C22×C4.Dic3 | central extension (φ=1) | 96 | | C4.73(S3xC2^3) | 192,1340 |
| C4.74(S3×C23) = C2×D4.Dic3 | central extension (φ=1) | 96 | | C4.74(S3xC2^3) | 192,1377 |
| C4.75(S3×C23) = C12.76C24 | central extension (φ=1) | 48 | 4 | C4.75(S3xC2^3) | 192,1378 |
| C4.76(S3×C23) = C22×C4○D12 | central extension (φ=1) | 96 | | C4.76(S3xC2^3) | 192,1513 |
| C4.77(S3×C23) = C2×S3×C4○D4 | central extension (φ=1) | 48 | | C4.77(S3xC2^3) | 192,1520 |