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

Direct product G=NxQ with N=C4.Dic6 and Q=C2
dρLabelID
C2xC4.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 = S3xC4.Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:14C2192,418
C4.Dic6:15C2 = C8:(C4xS3)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(C4xS3)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 = (C2xQ8).49D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:37C2192,602
C4.Dic6:38C2 = (C2xQ8).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 = C4xD4.S3φ: trivial image96C4.Dic6:44C2192,576
C4.Dic6:45C2 = C4xQ8:2S3φ: 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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