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Extensions 1→N→G→Q→1 with N=C12.Q8 and Q=C2

Direct product G=N×Q with N=C12.Q8 and Q=C2
dρLabelID
C2×C12.Q8192C2xC12.Q8192,521

Semidirect products G=N:Q with N=C12.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.Q8⋊1C2 = Dic3⋊4D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:1C2192,315
C12.Q8⋊2C2 = D4.S3⋊C4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:2C2192,316
C12.Q8⋊3C2 = Dic3.D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:3C2192,318
C12.Q8⋊4C2 = D4.Dic6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:4C2192,322
C12.Q8⋊5C2 = D6.D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:5C2192,333
C12.Q8⋊6C2 = D6⋊D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:6C2192,334
C12.Q8⋊7C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:7C2192,338
C12.Q8⋊8C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:8C2192,339
C12.Q8⋊9C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:9C2192,370
C12.Q8⋊10C2 = C3⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:10C2192,371
C12.Q8⋊11C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:11C2192,372
C12.Q8⋊12C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:12C2192,374
C12.Q8⋊13C2 = Q8⋊3(C4×S3)φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:13C2192,376
C12.Q8⋊14C2 = (S3×C8)⋊C4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:14C2192,419
C12.Q8⋊15C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:15C2192,420
C12.Q8⋊16C2 = C4.Q8⋊S3φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:16C2192,425
C12.Q8⋊17C2 = C6.(C4○D8)φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:17C2192,427
C12.Q8⋊18C2 = D12.Q8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:18C2192,430
C12.Q8⋊19C2 = S3×C2.D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:19C2192,438
C12.Q8⋊20C2 = C8⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:20C2192,440
C12.Q8⋊21C2 = D6.5D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:21C2192,441
C12.Q8⋊22C2 = D6.2Q16φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:22C2192,443
C12.Q8⋊23C2 = D12⋊2Q8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:23C2192,449
C12.Q8⋊24C2 = C4⋊C4.225D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:24C2192,523
C12.Q8⋊25C2 = C6.(C2×D8)φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:25C2192,526
C12.Q8⋊26C2 = C4⋊C4.230D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:26C2192,529
C12.Q8⋊27C2 = C4⋊C4.232D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:27C2192,554
C12.Q8⋊28C2 = C4⋊C4.233D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:28C2192,555
C12.Q8⋊29C2 = C4⋊C4.236D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:29C2192,562
C12.Q8⋊30C2 = C12.50D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:30C2192,566
C12.Q8⋊31C2 = D4.3Dic6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:31C2192,568
C12.Q8⋊32C2 = C42.51D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:32C2192,577
C12.Q8⋊33C2 = C42.56D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:33C2192,585
C12.Q8⋊34C2 = (C2×C6).D8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:34C2192,592
C12.Q8⋊35C2 = C12.Q8⋊C2φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:35C2192,594
C12.Q8⋊36C2 = C3⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:36C2192,597
C12.Q8⋊37C2 = C3⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:37C2192,601
C12.Q8⋊38C2 = (C2×C6).Q16φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:38C2192,603
C12.Q8⋊39C2 = (C2×Q8).51D6φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:39C2192,604
C12.Q8⋊40C2 = C3⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:40C2192,608
C12.Q8⋊41C2 = C3⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:41C2192,610
C12.Q8⋊42C2 = D12.4Q8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:42C2192,625
C12.Q8⋊43C2 = D12⋊6Q8φ: C2/C1 → C2 ⊆ Out C12.Q896C12.Q8:43C2192,646
C12.Q8⋊44C2 = C4⋊C4.234D6φ: trivial image96C12.Q8:44C2192,557
C12.Q8⋊45C2 = C4×D4⋊S3φ: trivial image96C12.Q8:45C2192,572

Non-split extensions G=N.Q with N=C12.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.Q8.1C2 = Dic3⋊4Q16φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.1C2192,349
C12.Q8.2C2 = Q8⋊3Dic6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.2C2192,352
C12.Q8.3C2 = Q8.4Dic6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.3C2192,358
C12.Q8.4C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.4C2192,415
C12.Q8.5C2 = Dic6.Q8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.5C2192,416
C12.Q8.6C2 = C8.8Dic6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.6C2192,417
C12.Q8.7C2 = C24⋊2Q8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.7C2192,433
C12.Q8.8C2 = Dic3.Q16φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.8C2192,434
C12.Q8.9C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.9C2192,435
C12.Q8.10C2 = Q8⋊5Dic6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.10C2192,580
C12.Q8.11C2 = Q8.5Dic6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.11C2192,581
C12.Q8.12C2 = Dic6.4Q8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.12C2192,622
C12.Q8.13C2 = C42.68D6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.13C2192,623
C12.Q8.14C2 = C42.215D6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.14C2192,624
C12.Q8.15C2 = C12.17D8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.15C2192,637
C12.Q8.16C2 = C42.76D6φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.16C2192,640
C12.Q8.17C2 = Dic6⋊5Q8φ: C2/C1 → C2 ⊆ Out C12.Q8192C12.Q8.17C2192,650
C12.Q8.18C2 = C4×C3⋊Q16φ: trivial image192C12.Q8.18C2192,588

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