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Extensions 1→N→G→Q→1 with N=D6⋊C8 and Q=C2

Direct product G=N×Q with N=D6⋊C8 and Q=C2
dρLabelID
C2×D6⋊C896C2xD6:C8192,667

Semidirect products G=N:Q with N=D6⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊C8⋊1C2 = C8⋊6D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:1C2192,247
D6⋊C8⋊2C2 = (C22×C8)⋊7S3φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:2C2192,669
D6⋊C8⋊3C2 = C24⋊33D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:3C2192,670
D6⋊C8⋊4C2 = D4⋊D12φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:4C2192,332
D6⋊C8⋊5C2 = D6.D8φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:5C2192,333
D6⋊C8⋊6C2 = D4.D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:6C2192,342
D6⋊C8⋊7C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:7C2192,343
D6⋊C8⋊8C2 = Q8⋊4D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:8C2192,369
D6⋊C8⋊9C2 = D6⋊5SD16φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:9C2192,335
D6⋊C8⋊10C2 = D6.SD16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:10C2192,336
D6⋊C8⋊11C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:11C2192,338
D6⋊C8⋊12C2 = D4⋊3D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:12C2192,340
D6⋊C8⋊13C2 = Q8⋊3D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:13C2192,365
D6⋊C8⋊14C2 = Q8.11D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:14C2192,367
D6⋊C8⋊15C2 = D6.5D8φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:15C2192,441
D6⋊C8⋊16C2 = C2.D8⋊S3φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:16C2192,444
D6⋊C8⋊17C2 = D12⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:17C2192,715
D6⋊C8⋊18C2 = Dic6⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:18C2192,717
D6⋊C8⋊19C2 = D12.17D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:19C2192,746
D6⋊C8⋊20C2 = S3×C22⋊C8φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:20C2192,283
D6⋊C8⋊21C2 = C3⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:21C2192,284
D6⋊C8⋊22C2 = D6⋊M4(2)φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:22C2192,285
D6⋊C8⋊23C2 = D6⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:23C2192,286
D6⋊C8⋊24C2 = D6⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:24C2192,287
D6⋊C8⋊25C2 = Dic3⋊M4(2)φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:25C2192,288
D6⋊C8⋊26C2 = C3⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:26C2192,289
D6⋊C8⋊27C2 = D12⋊C8φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:27C2192,393
D6⋊C8⋊28C2 = D6⋊3M4(2)φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:28C2192,395
D6⋊C8⋊29C2 = C12⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:29C2192,397
D6⋊C8⋊30C2 = D6.4SD16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:30C2192,422
D6⋊C8⋊31C2 = C4.Q8⋊S3φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:31C2192,425
D6⋊C8⋊32C2 = D6⋊6SD16φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:32C2192,728
D6⋊C8⋊33C2 = D6⋊8SD16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:33C2192,729
D6⋊C8⋊34C2 = D12⋊7D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:34C2192,731
D6⋊C8⋊35C2 = Dic6.16D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:35C2192,732
D6⋊C8⋊36C2 = C8⋊9D12φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:36C2192,265
D6⋊C8⋊37C2 = D6⋊6M4(2)φ: C2/C1 → C2 ⊆ Out D6⋊C848D6:C8:37C2192,685
D6⋊C8⋊38C2 = C24⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:38C2192,686
D6⋊C8⋊39C2 = C24⋊21D4φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:39C2192,687
D6⋊C8⋊40C2 = D6⋊C8⋊40C2φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8:40C2192,688
D6⋊C8⋊41C2 = C8×D12φ: trivial image96D6:C8:41C2192,245
D6⋊C8⋊42C2 = C8×C3⋊D4φ: trivial image96D6:C8:42C2192,668

Non-split extensions G=N.Q with N=D6⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊C8.1C2 = C42.243D6φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.1C2192,249
D6⋊C8.2C2 = D6⋊Q16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.2C2192,368
D6⋊C8.3C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.3C2192,370
D6⋊C8.4C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.4C2192,373
D6⋊C8.5C2 = D6.1SD16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.5C2192,364
D6⋊C8.6C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.6C2192,374
D6⋊C8.7C2 = D6.2Q16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.7C2192,443
D6⋊C8.8C2 = C2.D8⋊7S3φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.8C2192,447
D6⋊C8.9C2 = D6⋊5Q16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.9C2192,745
D6⋊C8.10C2 = C42.200D6φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.10C2192,392
D6⋊C8.11C2 = C42.202D6φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.11C2192,394
D6⋊C8.12C2 = C42.31D6φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.12C2192,399
D6⋊C8.13C2 = D6.2SD16φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.13C2192,421
D6⋊C8.14C2 = C6.(C4○D8)φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.14C2192,427
D6⋊C8.15C2 = C42.182D6φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.15C2192,264
D6⋊C8.16C2 = C42.185D6φ: C2/C1 → C2 ⊆ Out D6⋊C896D6:C8.16C2192,268
D6⋊C8.17C2 = C42.282D6φ: trivial image96D6:C8.17C2192,244

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