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Extensions 1→N→G→Q→1 with N=C4.Dic3 and Q=C22

Direct product G=N×Q with N=C4.Dic3 and Q=C22
dρLabelID
C22×C4.Dic396C2^2xC4.Dic3192,1340

Semidirect products G=N:Q with N=C4.Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.Dic3⋊1C22 = S3×C4.D4φ: C22/C1 → C22 ⊆ Out C4.Dic3248+C4.Dic3:1C2^2192,303
C4.Dic3⋊2C22 = S3×C4≀C2φ: C22/C1 → C22 ⊆ Out C4.Dic3244C4.Dic3:2C2^2192,379
C4.Dic3⋊3C22 = C42⋊3D6φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3:3C2^2192,380
C4.Dic3⋊4C22 = Q8⋊5D12φ: C22/C1 → C22 ⊆ Out C4.Dic3244+C4.Dic3:4C2^2192,381
C4.Dic3⋊5C22 = C42⋊5D6φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3:5C2^2192,384
C4.Dic3⋊6C22 = C42⋊7D6φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3:6C2^2192,620
C4.Dic3⋊7C22 = C42⋊8D6φ: C22/C1 → C22 ⊆ Out C4.Dic3244C4.Dic3:7C2^2192,636
C4.Dic3⋊8C22 = D12⋊18D4φ: C22/C1 → C22 ⊆ Out C4.Dic3248+C4.Dic3:8C2^2192,757
C4.Dic3⋊9C22 = D12.39D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3:9C2^2192,761
C4.Dic3⋊10C22 = 2+ 1+4⋊6S3φ: C22/C1 → C22 ⊆ Out C4.Dic3248+C4.Dic3:10C2^2192,800
C4.Dic3⋊11C22 = 2+ 1+4.4S3φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3:11C2^2192,801
C4.Dic3⋊12C22 = S3×C8⋊C22φ: C22/C1 → C22 ⊆ Out C4.Dic3248+C4.Dic3:12C2^2192,1331
C4.Dic3⋊13C22 = D8⋊4D6φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3:13C2^2192,1332
C4.Dic3⋊14C22 = S3×C8.C22φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3:14C2^2192,1335
C4.Dic3⋊15C22 = D24⋊C22φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3:15C2^2192,1336
C4.Dic3⋊16C22 = D12.32C23φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3:16C2^2192,1394
C4.Dic3⋊17C22 = D12.33C23φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3:17C2^2192,1395
C4.Dic3⋊18C22 = D12.34C23φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3:18C2^2192,1396
C4.Dic3⋊19C22 = C2×C42⋊4S3φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:19C2^2192,486
C4.Dic3⋊20C22 = C42⋊6D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:20C2^2192,564
C4.Dic3⋊21C22 = C2×C12.46D4φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:21C2^2192,689
C4.Dic3⋊22C22 = C2×C12.D4φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:22C2^2192,775
C4.Dic3⋊23C22 = C2×Q8⋊3Dic3φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:23C2^2192,794
C4.Dic3⋊24C22 = (C6×D4)⋊9C4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:24C2^2192,795
C4.Dic3⋊25C22 = C2×S3×M4(2)φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:25C2^2192,1302
C4.Dic3⋊26C22 = S3×C8○D4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:26C2^2192,1308
C4.Dic3⋊27C22 = M4(2)⋊28D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:27C2^2192,1309
C4.Dic3⋊28C22 = D8⋊13D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:28C2^2192,1316
C4.Dic3⋊29C22 = SD16⋊13D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:29C2^2192,1321
C4.Dic3⋊30C22 = D8⋊15D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484+C4.Dic3:30C2^2192,1328
C4.Dic3⋊31C22 = D8⋊11D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:31C2^2192,1329
C4.Dic3⋊32C22 = C2×D12⋊6C22φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:32C2^2192,1352
C4.Dic3⋊33C22 = C2×Q8.11D6φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3:33C2^2192,1367
C4.Dic3⋊34C22 = C2×D4.Dic3φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3:34C2^2192,1377
C4.Dic3⋊35C22 = C12.76C24φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:35C2^2192,1378
C4.Dic3⋊36C22 = C2×D4⋊D6φ: C22/C2 → C2 ⊆ Out C4.Dic348C4.Dic3:36C2^2192,1379
C4.Dic3⋊37C22 = C12.C24φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3:37C2^2192,1381
C4.Dic3⋊38C22 = C2×Q8.14D6φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3:38C2^2192,1382
C4.Dic3⋊39C22 = C2×C8○D12φ: trivial image96C4.Dic3:39C2^2192,1297
C4.Dic3⋊40C22 = M4(2)⋊26D6φ: trivial image484C4.Dic3:40C2^2192,1304

Non-split extensions G=N.Q with N=C4.Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.Dic3.1C22 = M4(2).19D6φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.1C2^2192,304
C4.Dic3.2C22 = D12.2D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.2C2^2192,307
C4.Dic3.3C22 = D12.3D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3.3C2^2192,308
C4.Dic3.4C22 = S3×C4.10D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.4C2^2192,309
C4.Dic3.5C22 = M4(2).21D6φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3.5C2^2192,310
C4.Dic3.6C22 = D12.6D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3.6C2^2192,313
C4.Dic3.7C22 = D12.7D4φ: C22/C1 → C22 ⊆ Out C4.Dic3968-C4.Dic3.7C2^2192,314
C4.Dic3.8C22 = M4(2).22D6φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.8C2^2192,382
C4.Dic3.9C22 = C42.196D6φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.9C2^2192,383
C4.Dic3.10C22 = Q8.14D12φ: C22/C1 → C22 ⊆ Out C4.Dic3484-C4.Dic3.10C2^2192,385
C4.Dic3.11C22 = D4.10D12φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.11C2^2192,386
C4.Dic3.12C22 = S3×C8.C4φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.12C2^2192,451
C4.Dic3.13C22 = M4(2).25D6φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.13C2^2192,452
C4.Dic3.14C22 = D12.14D4φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.14C2^2192,621
C4.Dic3.15C22 = D12.15D4φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.15C2^2192,654
C4.Dic3.16C22 = Q8.8D12φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.16C2^2192,700
C4.Dic3.17C22 = Q8.9D12φ: C22/C1 → C22 ⊆ Out C4.Dic3484+C4.Dic3.17C2^2192,701
C4.Dic3.18C22 = Q8.10D12φ: C22/C1 → C22 ⊆ Out C4.Dic3964-C4.Dic3.18C2^2192,702
C4.Dic3.19C22 = C24.23D4φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.19C2^2192,719
C4.Dic3.20C22 = C24.44D4φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.20C2^2192,736
C4.Dic3.21C22 = C24.29D4φ: C22/C1 → C22 ⊆ Out C4.Dic3964C4.Dic3.21C2^2192,751
C4.Dic3.22C22 = D8⋊5Dic3φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.22C2^2192,755
C4.Dic3.23C22 = D8⋊4Dic3φ: C22/C1 → C22 ⊆ Out C4.Dic3484C4.Dic3.23C2^2192,756
C4.Dic3.24C22 = M4(2).D6φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3.24C2^2192,758
C4.Dic3.25C22 = M4(2).13D6φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.25C2^2192,759
C4.Dic3.26C22 = D12.38D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.26C2^2192,760
C4.Dic3.27C22 = M4(2).15D6φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3.27C2^2192,762
C4.Dic3.28C22 = M4(2).16D6φ: C22/C1 → C22 ⊆ Out C4.Dic3968-C4.Dic3.28C2^2192,763
C4.Dic3.29C22 = D12.40D4φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.29C2^2192,764
C4.Dic3.30C22 = 2- 1+4⋊4S3φ: C22/C1 → C22 ⊆ Out C4.Dic3488+C4.Dic3.30C2^2192,804
C4.Dic3.31C22 = 2- 1+4.2S3φ: C22/C1 → C22 ⊆ Out C4.Dic3488-C4.Dic3.31C2^2192,805
C4.Dic3.32C22 = D12.35C23φ: C22/C1 → C22 ⊆ Out C4.Dic3968-C4.Dic3.32C2^2192,1397
C4.Dic3.33C22 = D24⋊11C4φ: C22/C2 → C2 ⊆ Out C4.Dic3482C4.Dic3.33C2^2192,259
C4.Dic3.34C22 = D24⋊4C4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.34C2^2192,276
C4.Dic3.35C22 = C2×C24.C4φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3.35C2^2192,666
C4.Dic3.36C22 = C23.9Dic6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.36C2^2192,684
C4.Dic3.37C22 = C24.18D4φ: C22/C2 → C2 ⊆ Out C4.Dic3964-C4.Dic3.37C2^2192,455
C4.Dic3.38C22 = C24.19D4φ: C22/C2 → C2 ⊆ Out C4.Dic3484+C4.Dic3.38C2^2192,456
C4.Dic3.39C22 = C24.42D4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.39C2^2192,457
C4.Dic3.40C22 = C2×C12.53D4φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3.40C2^2192,682
C4.Dic3.41C22 = C23.8Dic6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.41C2^2192,683
C4.Dic3.42C22 = M4(2).31D6φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.42C2^2192,691
C4.Dic3.43C22 = C2×C12.47D4φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3.43C2^2192,695
C4.Dic3.44C22 = C24.100D4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.44C2^2192,703
C4.Dic3.45C22 = C24.54D4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.45C2^2192,704
C4.Dic3.46C22 = C2×C12.10D4φ: C22/C2 → C2 ⊆ Out C4.Dic396C4.Dic3.46C2^2192,785
C4.Dic3.47C22 = (C6×D4).16C4φ: C22/C2 → C2 ⊆ Out C4.Dic3484C4.Dic3.47C2^2192,796
C4.Dic3.48C22 = D12.30D4φ: C22/C2 → C2 ⊆ Out C4.Dic3964C4.Dic3.48C2^2192,1325
C4.Dic3.49C22 = D8.10D6φ: C22/C2 → C2 ⊆ Out C4.Dic3964-C4.Dic3.49C2^2192,1330

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