# Extensions 1→N→G→Q→1 with N=C4○D12 and Q=C22

Direct product G=N×Q with N=C4○D12 and Q=C22
dρLabelID
C22×C4○D1296C2^2xC4oD12192,1513

Semidirect products G=N:Q with N=C4○D12 and Q=C22
extensionφ:Q→Out NdρLabelID
C4○D121C22 = D4.11D12φ: C22/C1C22 ⊆ Out C4○D12484C4oD12:1C2^2192,1310
C4○D122C22 = D4.12D12φ: C22/C1C22 ⊆ Out C4○D12484+C4oD12:2C2^2192,1311
C4○D123C22 = D813D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12:3C2^2192,1316
C4○D124C22 = SD1613D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12:4C2^2192,1321
C4○D125C22 = S3×C4○D8φ: C22/C1C22 ⊆ Out C4○D12484C4oD12:5C2^2192,1326
C4○D126C22 = SD16⋊D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12:6C2^2192,1327
C4○D127C22 = S3×C8⋊C22φ: C22/C1C22 ⊆ Out C4○D12248+C4oD12:7C2^2192,1331
C4○D128C22 = D85D6φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12:8C2^2192,1333
C4○D129C22 = C24.C23φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12:9C2^2192,1337
C4○D1210C22 = D12.32C23φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12:10C2^2192,1394
C4○D1211C22 = D12.33C23φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12:11C2^2192,1395
C4○D1212C22 = S3×2+ 1+4φ: C22/C1C22 ⊆ Out C4○D12248+C4oD12:12C2^2192,1524
C4○D1213C22 = D6.C24φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12:13C2^2192,1525
C4○D1214C22 = S3×2- 1+4φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12:14C2^2192,1526
C4○D1215C22 = D12.39C23φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12:15C2^2192,1527
C4○D1216C22 = C2×C4○D24φ: C22/C2C2 ⊆ Out C4○D1296C4oD12:16C2^2192,1300
C4○D1217C22 = C24.9C23φ: C22/C2C2 ⊆ Out C4○D12484C4oD12:17C2^2192,1307
C4○D1218C22 = C2×C8⋊D6φ: C22/C2C2 ⊆ Out C4○D1248C4oD12:18C2^2192,1305
C4○D1219C22 = C2×D126C22φ: C22/C2C2 ⊆ Out C4○D1248C4oD12:19C2^2192,1352
C4○D1220C22 = C2×Q8.13D6φ: C22/C2C2 ⊆ Out C4○D1296C4oD12:20C2^2192,1380
C4○D1221C22 = C12.C24φ: C22/C2C2 ⊆ Out C4○D12484C4oD12:21C2^2192,1381
C4○D1222C22 = C2×D46D6φ: C22/C2C2 ⊆ Out C4○D1248C4oD12:22C2^2192,1516
C4○D1223C22 = C2×Q8.15D6φ: C22/C2C2 ⊆ Out C4○D1296C4oD12:23C2^2192,1519
C4○D1224C22 = C2×S3×C4○D4φ: C22/C2C2 ⊆ Out C4○D1248C4oD12:24C2^2192,1520
C4○D1225C22 = C2×D4○D12φ: C22/C2C2 ⊆ Out C4○D1248C4oD12:25C2^2192,1521
C4○D1226C22 = C2×Q8○D12φ: C22/C2C2 ⊆ Out C4○D1296C4oD12:26C2^2192,1522
C4○D1227C22 = C6.C25φ: C22/C2C2 ⊆ Out C4○D12484C4oD12:27C2^2192,1523

Non-split extensions G=N.Q with N=C4○D12 and Q=C22
extensionφ:Q→Out NdρLabelID
C4○D12.1C22 = M4(2)⋊D6φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.1C2^2192,305
C4○D12.2C22 = D121D4φ: C22/C1C22 ⊆ Out C4○D12248+C4oD12.2C2^2192,306
C4○D12.3C22 = D12.2D4φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.3C2^2192,307
C4○D12.4C22 = D12.3D4φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12.4C2^2192,308
C4○D12.5C22 = D12.4D4φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.5C2^2192,311
C4○D12.6C22 = D12.5D4φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12.6C2^2192,312
C4○D12.7C22 = D12.6D4φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12.7C2^2192,313
C4○D12.8C22 = D12.7D4φ: C22/C1C22 ⊆ Out C4○D12968-C4oD12.8C2^2192,314
C4○D12.9C22 = S3×C4≀C2φ: C22/C1C22 ⊆ Out C4○D12244C4oD12.9C2^2192,379
C4○D12.10C22 = C423D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.10C2^2192,380
C4○D12.11C22 = Q85D12φ: C22/C1C22 ⊆ Out C4○D12244+C4oD12.11C2^2192,381
C4○D12.12C22 = M4(2).22D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.12C2^2192,382
C4○D12.13C22 = C42.196D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.13C2^2192,383
C4○D12.14C22 = C425D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.14C2^2192,384
C4○D12.15C22 = Q8.14D12φ: C22/C1C22 ⊆ Out C4○D12484-C4oD12.15C2^2192,385
C4○D12.16C22 = D4.10D12φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.16C2^2192,386
C4○D12.17C22 = D2410C4φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.17C2^2192,453
C4○D12.18C22 = D247C4φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.18C2^2192,454
C4○D12.19C22 = C427D6φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.19C2^2192,620
C4○D12.20C22 = D12.14D4φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.20C2^2192,621
C4○D12.21C22 = C428D6φ: C22/C1C22 ⊆ Out C4○D12244C4oD12.21C2^2192,636
C4○D12.22C22 = D12.15D4φ: C22/C1C22 ⊆ Out C4○D12484C4oD12.22C2^2192,654
C4○D12.23C22 = D1218D4φ: C22/C1C22 ⊆ Out C4○D12248+C4oD12.23C2^2192,757
C4○D12.24C22 = D12.38D4φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.24C2^2192,760
C4○D12.25C22 = D12.39D4φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12.25C2^2192,761
C4○D12.26C22 = D12.40D4φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.26C2^2192,764
C4○D12.27C22 = D4.13D12φ: C22/C1C22 ⊆ Out C4○D12964-C4oD12.27C2^2192,1312
C4○D12.28C22 = D84D6φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.28C2^2192,1332
C4○D12.29C22 = D86D6φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.29C2^2192,1334
C4○D12.30C22 = S3×C8.C22φ: C22/C1C22 ⊆ Out C4○D12488-C4oD12.30C2^2192,1335
C4○D12.31C22 = D24⋊C22φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12.31C2^2192,1336
C4○D12.32C22 = SD16.D6φ: C22/C1C22 ⊆ Out C4○D12968-C4oD12.32C2^2192,1338
C4○D12.33C22 = D12.34C23φ: C22/C1C22 ⊆ Out C4○D12488+C4oD12.33C2^2192,1396
C4○D12.34C22 = D12.35C23φ: C22/C1C22 ⊆ Out C4○D12968-C4oD12.34C2^2192,1397
C4○D12.35C22 = D2411C4φ: C22/C2C2 ⊆ Out C4○D12482C4oD12.35C2^2192,259
C4○D12.36C22 = D244C4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.36C2^2192,276
C4○D12.37C22 = C2×C424S3φ: C22/C2C2 ⊆ Out C4○D1248C4oD12.37C2^2192,486
C4○D12.38C22 = C426D6φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.38C2^2192,564
C4○D12.39C22 = C24.18D4φ: C22/C2C2 ⊆ Out C4○D12964-C4oD12.39C2^2192,455
C4○D12.40C22 = C24.19D4φ: C22/C2C2 ⊆ Out C4○D12484+C4oD12.40C2^2192,456
C4○D12.41C22 = C24.42D4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.41C2^2192,457
C4○D12.42C22 = C2×D12⋊C4φ: C22/C2C2 ⊆ Out C4○D1248C4oD12.42C2^2192,697
C4○D12.43C22 = M4(2)⋊24D6φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.43C2^2192,698
C4○D12.44C22 = C24.100D4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.44C2^2192,703
C4○D12.45C22 = C24.54D4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.45C2^2192,704
C4○D12.46C22 = C24.23D4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.46C2^2192,719
C4○D12.47C22 = C24.44D4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.47C2^2192,736
C4○D12.48C22 = C24.29D4φ: C22/C2C2 ⊆ Out C4○D12964C4oD12.48C2^2192,751
C4○D12.49C22 = C2×D12.C4φ: C22/C2C2 ⊆ Out C4○D1296C4oD12.49C2^2192,1303
C4○D12.50C22 = C2×C8.D6φ: C22/C2C2 ⊆ Out C4○D1296C4oD12.50C2^2192,1306
C4○D12.51C22 = S3×C8○D4φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.51C2^2192,1308
C4○D12.52C22 = M4(2)⋊28D6φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.52C2^2192,1309
C4○D12.53C22 = D12.30D4φ: C22/C2C2 ⊆ Out C4○D12964C4oD12.53C2^2192,1325
C4○D12.54C22 = D815D6φ: C22/C2C2 ⊆ Out C4○D12484+C4oD12.54C2^2192,1328
C4○D12.55C22 = D811D6φ: C22/C2C2 ⊆ Out C4○D12484C4oD12.55C2^2192,1329
C4○D12.56C22 = D8.10D6φ: C22/C2C2 ⊆ Out C4○D12964-C4oD12.56C2^2192,1330
C4○D12.57C22 = C2×Q8.11D6φ: C22/C2C2 ⊆ Out C4○D1296C4oD12.57C2^2192,1367
C4○D12.58C22 = C2×C8○D12φ: trivial image96C4oD12.58C2^2192,1297
C4○D12.59C22 = M4(2)⋊26D6φ: trivial image484C4oD12.59C2^2192,1304

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