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

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

Semidirect products G=N:Q with N=Dic3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3⋊C81C2 = C42.243D6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:1C2192,249
Dic3⋊C82C2 = Dic3⋊C8⋊C2φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:2C2192,661
Dic3⋊C83C2 = C2433D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:3C2192,670
Dic3⋊C84C2 = Dic3.D8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:4C2192,318
Dic3⋊C85C2 = D4.2Dic6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:5C2192,325
Dic3⋊C86C2 = Dic6.D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:6C2192,326
Dic3⋊C87C2 = D123D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:7C2192,345
Dic3⋊C88C2 = D12.12D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:8C2192,378
Dic3⋊C89C2 = D4⋊Dic6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:9C2192,320
Dic3⋊C810C2 = Dic62D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:10C2192,321
Dic3⋊C811C2 = D4.Dic6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:11C2192,322
Dic3⋊C812C2 = D12.D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:12C2192,346
Dic3⋊C813C2 = Dic6.11D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:13C2192,357
Dic3⋊C814C2 = Dic3⋊SD16φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:14C2192,377
Dic3⋊C815C2 = D122Q8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:15C2192,449
Dic3⋊C816C2 = D12.2Q8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:16C2192,450
Dic3⋊C817C2 = Dic3⋊D8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:17C2192,709
Dic3⋊C818C2 = (C6×D8).C2φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:18C2192,712
Dic3⋊C819C2 = (C2×Q16)⋊S3φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:19C2192,744
Dic3⋊C820C2 = Dic3.5M4(2)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:20C2192,277
Dic3⋊C821C2 = Dic3.M4(2)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:21C2192,278
Dic3⋊C822C2 = C24⋊C4⋊C2φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:22C2192,279
Dic3⋊C823C2 = C3⋊D4⋊C8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:23C2192,284
Dic3⋊C824C2 = D62M4(2)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:24C2192,287
Dic3⋊C825C2 = Dic3⋊M4(2)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:25C2192,288
Dic3⋊C826C2 = C3⋊C826D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:26C2192,289
Dic3⋊C827C2 = S3×C4⋊C8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:27C2192,391
Dic3⋊C828C2 = C12⋊M4(2)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:28C2192,396
Dic3⋊C829C2 = C42.30D6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:29C2192,398
Dic3⋊C830C2 = D12⋊Q8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:30C2192,429
Dic3⋊C831C2 = D12.Q8φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:31C2192,430
Dic3⋊C832C2 = Dic33SD16φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:32C2192,721
Dic3⋊C833C2 = Dic35SD16φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:33C2192,722
Dic3⋊C834C2 = (C3×D4).D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:34C2192,724
Dic3⋊C835C2 = (C3×Q8).D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:35C2192,725
Dic3⋊C836C2 = C42.182D6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:36C2192,264
Dic3⋊C837C2 = C42.185D6φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:37C2192,268
Dic3⋊C838C2 = Dic34M4(2)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:38C2192,677
Dic3⋊C839C2 = C12.88(C2×Q8)φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:39C2192,678
Dic3⋊C840C2 = C24⋊D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:40C2192,686
Dic3⋊C841C2 = C2421D4φ: C2/C1C2 ⊆ Out Dic3⋊C896Dic3:C8:41C2192,687
Dic3⋊C842C2 = C42.282D6φ: trivial image96Dic3:C8:42C2192,244
Dic3⋊C843C2 = C8×C3⋊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 = C2412Q8φ: C2/C1C2 ⊆ Out Dic3⋊C8192Dic3:C8.1C2192,238
Dic3⋊C8.2C2 = Q83Dic6φ: 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 = Q82Dic6φ: 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 = Dic33Q16φ: 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 = C8×Dic6φ: trivial image192Dic3:C8.16C2192,237

׿
×
𝔽