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Extensions 1→N→G→Q→1 with N=C4.Dic6 and Q=C2

Direct product G=N×Q with N=C4.Dic6 and Q=C2
dρLabelID
C2×C4.Dic6192C2xC4.Dic6192,522

Semidirect products G=N:Q with N=C4.Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic6⋊1C2 = Dic3⋊6SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:1C2192,317
C4.Dic6⋊2C2 = D4⋊Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:2C2192,320
C4.Dic6⋊3C2 = D4.2Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:3C2192,325
C4.Dic6⋊4C2 = D6.SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:4C2192,336
C4.Dic6⋊5C2 = D6⋊SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:5C2192,337
C4.Dic6⋊6C2 = C3⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:6C2192,341
C4.Dic6⋊7C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:7C2192,343
C4.Dic6⋊8C2 = D4⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:8C2192,344
C4.Dic6⋊9C2 = Dic3⋊7SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:9C2192,347
C4.Dic6⋊10C2 = D6.1SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:10C2192,364
C4.Dic6⋊11C2 = D6⋊2SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:11C2192,366
C4.Dic6⋊12C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:12C2192,373
C4.Dic6⋊13C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:13C2192,375
C4.Dic6⋊14C2 = S3×C4.Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:14C2192,418
C4.Dic6⋊15C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:15C2192,420
C4.Dic6⋊16C2 = D6.2SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:16C2192,421
C4.Dic6⋊17C2 = D6.4SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:17C2192,422
C4.Dic6⋊18C2 = D12⋊Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:18C2192,429
C4.Dic6⋊19C2 = C8.27(C4×S3)φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:19C2192,439
C4.Dic6⋊20C2 = C8⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:20C2192,440
C4.Dic6⋊21C2 = C2.D8⋊S3φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:21C2192,444
C4.Dic6⋊22C2 = C2.D8⋊7S3φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:22C2192,447
C4.Dic6⋊23C2 = D12.2Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:23C2192,450
C4.Dic6⋊24C2 = C4⋊C4.225D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:24C2192,523
C4.Dic6⋊25C2 = C4⋊C4.228D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:25C2192,527
C4.Dic6⋊26C2 = C4⋊C4.231D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:26C2192,530
C4.Dic6⋊27C2 = C4⋊C4.232D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:27C2192,554
C4.Dic6⋊28C2 = C4⋊C4.233D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:28C2192,555
C4.Dic6⋊29C2 = C4⋊C4.236D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:29C2192,562
C4.Dic6⋊30C2 = C12.38SD16φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:30C2192,567
C4.Dic6⋊31C2 = D4.3Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:31C2192,568
C4.Dic6⋊32C2 = C42.48D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:32C2192,573
C4.Dic6⋊33C2 = C4⋊D4.S3φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:33C2192,593
C4.Dic6⋊34C2 = C12.Q8⋊C2φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:34C2192,594
C4.Dic6⋊35C2 = C4⋊D4⋊S3φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:35C2192,598
C4.Dic6⋊36C2 = C3⋊C8⋊23D4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:36C2192,600
C4.Dic6⋊37C2 = (C2×Q8).49D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:37C2192,602
C4.Dic6⋊38C2 = (C2×Q8).51D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:38C2192,604
C4.Dic6⋊39C2 = C3⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:39C2192,607
C4.Dic6⋊40C2 = C3⋊C8.6D4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:40C2192,611
C4.Dic6⋊41C2 = D12.4Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:41C2192,625
C4.Dic6⋊42C2 = D12⋊5Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:42C2192,643
C4.Dic6⋊43C2 = C4⋊C4.234D6φ: trivial image96C4.Dic6:43C2192,557
C4.Dic6⋊44C2 = C4×D4.S3φ: trivial image96C4.Dic6:44C2192,576
C4.Dic6⋊45C2 = C4×Q8⋊2S3φ: trivial image96C4.Dic6:45C2192,584

Non-split extensions G=N.Q with N=C4.Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic6.1C2 = C3⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.1C2192,348
C4.Dic6.2C2 = Q8⋊2Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.2C2192,350
C4.Dic6.3C2 = Q8.3Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.3C2192,355
C4.Dic6.4C2 = Dic6⋊Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.4C2192,413
C4.Dic6.5C2 = C24⋊5Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.5C2192,414
C4.Dic6.6C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.6C2192,415
C4.Dic6.7C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.7C2192,435
C4.Dic6.8C2 = Dic6.2Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.8C2192,436
C4.Dic6.9C2 = C8.6Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.9C2192,437
C4.Dic6.10C2 = Q8⋊4Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.10C2192,579
C4.Dic6.11C2 = Q8.5Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.11C2192,581
C4.Dic6.12C2 = C42.59D6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.12C2192,589
C4.Dic6.13C2 = Dic6.4Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.13C2192,622
C4.Dic6.14C2 = C42.68D6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.14C2192,623
C4.Dic6.15C2 = C42.215D6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.15C2192,624
C4.Dic6.16C2 = C12.SD16φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.16C2192,639
C4.Dic6.17C2 = C42.76D6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.17C2192,640
C4.Dic6.18C2 = Dic6⋊6Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.18C2192,653

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