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Extensions 1→N→G→Q→1 with N=C6.Q16 and Q=C2

Direct product G=N×Q with N=C6.Q16 and Q=C2
dρLabelID
C2×C6.Q16192C2xC6.Q16192,521

Semidirect products G=N:Q with N=C6.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.Q16⋊1C2 = Dic3⋊4D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:1C2192,315
C6.Q16⋊2C2 = D4.S3⋊C4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:2C2192,316
C6.Q16⋊3C2 = Dic3.D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:3C2192,318
C6.Q16⋊4C2 = D4.Dic6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:4C2192,322
C6.Q16⋊5C2 = D6.D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:5C2192,333
C6.Q16⋊6C2 = D6⋊D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:6C2192,334
C6.Q16⋊7C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:7C2192,338
C6.Q16⋊8C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:8C2192,339
C6.Q16⋊9C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:9C2192,370
C6.Q16⋊10C2 = C3⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:10C2192,371
C6.Q16⋊11C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:11C2192,372
C6.Q16⋊12C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:12C2192,374
C6.Q16⋊13C2 = Q8⋊3(C4×S3)φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:13C2192,376
C6.Q16⋊14C2 = (S3×C8)⋊C4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:14C2192,419
C6.Q16⋊15C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:15C2192,420
C6.Q16⋊16C2 = C4.Q8⋊S3φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:16C2192,425
C6.Q16⋊17C2 = C6.(C4○D8)φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:17C2192,427
C6.Q16⋊18C2 = D12.Q8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:18C2192,430
C6.Q16⋊19C2 = S3×C2.D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:19C2192,438
C6.Q16⋊20C2 = C8⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:20C2192,440
C6.Q16⋊21C2 = D6.5D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:21C2192,441
C6.Q16⋊22C2 = D6.2Q16φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:22C2192,443
C6.Q16⋊23C2 = D12⋊2Q8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:23C2192,449
C6.Q16⋊24C2 = C4⋊C4.225D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:24C2192,523
C6.Q16⋊25C2 = (C2×C6).40D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:25C2192,526
C6.Q16⋊26C2 = C4⋊C4.230D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:26C2192,529
C6.Q16⋊27C2 = C4⋊C4.232D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:27C2192,554
C6.Q16⋊28C2 = C4⋊C4.233D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:28C2192,555
C6.Q16⋊29C2 = C4⋊C4.236D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:29C2192,562
C6.Q16⋊30C2 = C12.50D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:30C2192,566
C6.Q16⋊31C2 = D4.3Dic6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:31C2192,568
C6.Q16⋊32C2 = C42.51D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:32C2192,577
C6.Q16⋊33C2 = C42.56D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:33C2192,585
C6.Q16⋊34C2 = (C2×C6).D8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:34C2192,592
C6.Q16⋊35C2 = C6.Q16⋊C2φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:35C2192,594
C6.Q16⋊36C2 = C3⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:36C2192,597
C6.Q16⋊37C2 = C3⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:37C2192,601
C6.Q16⋊38C2 = (C2×C6).Q16φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:38C2192,603
C6.Q16⋊39C2 = (C2×Q8).51D6φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:39C2192,604
C6.Q16⋊40C2 = C3⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:40C2192,608
C6.Q16⋊41C2 = C3⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:41C2192,610
C6.Q16⋊42C2 = D12.4Q8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:42C2192,625
C6.Q16⋊43C2 = D12⋊6Q8φ: C2/C1 → C2 ⊆ Out C6.Q1696C6.Q16:43C2192,646
C6.Q16⋊44C2 = C4⋊C4.234D6φ: trivial image96C6.Q16:44C2192,557
C6.Q16⋊45C2 = C4×D4⋊S3φ: trivial image96C6.Q16:45C2192,572

Non-split extensions G=N.Q with N=C6.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.Q16.1C2 = Dic3⋊4Q16φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.1C2192,349
C6.Q16.2C2 = Q8⋊3Dic6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.2C2192,352
C6.Q16.3C2 = Q8.4Dic6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.3C2192,358
C6.Q16.4C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.4C2192,415
C6.Q16.5C2 = Dic6.Q8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.5C2192,416
C6.Q16.6C2 = C8.8Dic6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.6C2192,417
C6.Q16.7C2 = C24⋊2Q8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.7C2192,433
C6.Q16.8C2 = Dic3.Q16φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.8C2192,434
C6.Q16.9C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.9C2192,435
C6.Q16.10C2 = Q8⋊5Dic6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.10C2192,580
C6.Q16.11C2 = Q8.5Dic6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.11C2192,581
C6.Q16.12C2 = Dic6.4Q8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.12C2192,622
C6.Q16.13C2 = C42.68D6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.13C2192,623
C6.Q16.14C2 = C42.215D6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.14C2192,624
C6.Q16.15C2 = C12.17D8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.15C2192,637
C6.Q16.16C2 = C42.76D6φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.16C2192,640
C6.Q16.17C2 = Dic6⋊5Q8φ: C2/C1 → C2 ⊆ Out C6.Q16192C6.Q16.17C2192,650
C6.Q16.18C2 = C4×C3⋊Q16φ: trivial image192C6.Q16.18C2192,588

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