Extensions 1→N→G→Q→1 with N=Dic3:C8 and Q=C2

Direct product G=NxQ with N=Dic3:C8 and Q=C2
dρLabelID
C2xDic3:C8192C2xDic3:C8192,658

Semidirect products G=N:Q with N=Dic3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3:C8:1C2 = C42.243D6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:1C2192,249
Dic3:C8:2C2 = Dic3:C8:C2φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:2C2192,661
Dic3:C8:3C2 = C24:33D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:3C2192,670
Dic3:C8:4C2 = Dic3.D8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:4C2192,318
Dic3:C8:5C2 = D4.2Dic6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:5C2192,325
Dic3:C8:6C2 = Dic6.D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:6C2192,326
Dic3:C8:7C2 = D12:3D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:7C2192,345
Dic3:C8:8C2 = D12.12D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:8C2192,378
Dic3:C8:9C2 = D4:Dic6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:9C2192,320
Dic3:C8:10C2 = Dic6:2D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:10C2192,321
Dic3:C8:11C2 = D4.Dic6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:11C2192,322
Dic3:C8:12C2 = D12.D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:12C2192,346
Dic3:C8:13C2 = Dic6.11D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:13C2192,357
Dic3:C8:14C2 = Dic3:SD16φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:14C2192,377
Dic3:C8:15C2 = D12:2Q8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:15C2192,449
Dic3:C8:16C2 = D12.2Q8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:16C2192,450
Dic3:C8:17C2 = Dic3:D8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:17C2192,709
Dic3:C8:18C2 = (C6xD8).C2φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:18C2192,712
Dic3:C8:19C2 = (C2xQ16):S3φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:19C2192,744
Dic3:C8:20C2 = Dic3.5M4(2)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:20C2192,277
Dic3:C8:21C2 = Dic3.M4(2)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:21C2192,278
Dic3:C8:22C2 = C24:C4:C2φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:22C2192,279
Dic3:C8:23C2 = C3:D4:C8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:23C2192,284
Dic3:C8:24C2 = D6:2M4(2)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:24C2192,287
Dic3:C8:25C2 = Dic3:M4(2)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:25C2192,288
Dic3:C8:26C2 = C3:C8:26D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:26C2192,289
Dic3:C8:27C2 = S3xC4:C8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:27C2192,391
Dic3:C8:28C2 = C12:M4(2)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:28C2192,396
Dic3:C8:29C2 = C42.30D6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:29C2192,398
Dic3:C8:30C2 = D12:Q8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:30C2192,429
Dic3:C8:31C2 = D12.Q8φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:31C2192,430
Dic3:C8:32C2 = Dic3:3SD16φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:32C2192,721
Dic3:C8:33C2 = Dic3:5SD16φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:33C2192,722
Dic3:C8:34C2 = (C3xD4).D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:34C2192,724
Dic3:C8:35C2 = (C3xQ8).D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:35C2192,725
Dic3:C8:36C2 = C42.182D6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:36C2192,264
Dic3:C8:37C2 = C42.185D6φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:37C2192,268
Dic3:C8:38C2 = Dic3:4M4(2)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:38C2192,677
Dic3:C8:39C2 = C12.88(C2xQ8)φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:39C2192,678
Dic3:C8:40C2 = C24:D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:40C2192,686
Dic3:C8:41C2 = C24:21D4φ: C2/C1C2 ⊆ Out Dic3:C896Dic3:C8:41C2192,687
Dic3:C8:42C2 = C42.282D6φ: trivial image96Dic3:C8:42C2192,244
Dic3:C8:43C2 = C8xC3:D4φ: trivial image96Dic3:C8:43C2192,668

Non-split extensions G=N.Q with N=Dic3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3:C8.1C2 = C24:12Q8φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.1C2192,238
Dic3:C8.2C2 = Q8:3Dic6φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.2C2192,352
Dic3:C8.3C2 = Dic3:Q16φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.3C2192,354
Dic3:C8.4C2 = Q8.3Dic6φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.4C2192,355
Dic3:C8.5C2 = Q8:2Dic6φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.5C2192,350
Dic3:C8.6C2 = Q8.4Dic6φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.6C2192,358
Dic3:C8.7C2 = Dic3.Q16φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.7C2192,434
Dic3:C8.8C2 = Dic6.2Q8φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.8C2192,436
Dic3:C8.9C2 = Dic3:3Q16φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.9C2192,741
Dic3:C8.10C2 = C42.27D6φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.10C2192,387
Dic3:C8.11C2 = Dic6:C8φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.11C2192,389
Dic3:C8.12C2 = C42.198D6φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.12C2192,390
Dic3:C8.13C2 = Dic6:Q8φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.13C2192,413
Dic3:C8.14C2 = Dic6.Q8φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.14C2192,416
Dic3:C8.15C2 = C24:Q8φ: C2/C1C2 ⊆ Out Dic3:C8192Dic3:C8.15C2192,260
Dic3:C8.16C2 = C8xDic6φ: trivial image192Dic3:C8.16C2192,237

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