Extensions 1→N→G→Q→1 with N=D30:4C4 and Q=C2

Direct product G=NxQ with N=D30:4C4 and Q=C2
dρLabelID
C2xD30:4C4240C2xD30:4C4480,616

Semidirect products G=N:Q with N=D30:4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D30:4C4:1C2 = (C2xC20).D6φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:1C2480,402
D30:4C4:2C2 = Dic3:C4:D5φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:2C2480,424
D30:4C4:3C2 = Dic5.8D12φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:3C2480,426
D30:4C4:4C2 = D6:Dic5:C2φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:4C2480,427
D30:4C4:5C2 = Dic3.D20φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:5C2480,429
D30:4C4:6C2 = D30.34D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:6C2480,430
D30:4C4:7C2 = D30.35D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:7C2480,431
D30:4C4:8C2 = C60.47D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:8C2480,450
D30:4C4:9C2 = C60.70D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:9C2480,451
D30:4C4:10C2 = Dic15:13D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:10C2480,472
D30:4C4:11C2 = Dic15:14D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:11C2480,482
D30:4C4:12C2 = D10.16D12φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:12C2480,489
D30:4C4:13C2 = D60:17C4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:13C2480,494
D30:4C4:14C2 = D30:D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:14C2480,496
D30:4C4:15C2 = D6.D20φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:15C2480,503
D30:4C4:16C2 = D60:14C4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:16C2480,504
D30:4C4:17C2 = D30.6D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:17C2480,509
D30:4C4:18C2 = C12:7D20φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:18C2480,526
D30:4C4:19C2 = (C2xDic6):D5φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:19C2480,531
D30:4C4:20C2 = D30:2D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:20C2480,535
D30:4C4:21C2 = C60:6D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:21C2480,536
D30:4C4:22C2 = D5xD6:C4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:22C2480,547
D30:4C4:23C2 = S3xD10:C4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:23C2480,548
D30:4C4:24C2 = D30:5D4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:24C2480,552
D30:4C4:25C2 = Dic15.19D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:25C2480,602
D30:4C4:26C2 = C10.(C2xD12)φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:26C2480,618
D30:4C4:27C2 = C6.D4:D5φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:27C2480,622
D30:4C4:28C2 = Dic15:3D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:28C2480,626
D30:4C4:29C2 = C15:26(C4xD4)φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:29C2480,628
D30:4C4:30C2 = C15:28(C4xD4)φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:30C2480,632
D30:4C4:31C2 = Dic15:4D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:31C2480,634
D30:4C4:32C2 = D30.45D4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:32C2480,637
D30:4C4:33C2 = D30.16D4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:33C2480,638
D30:4C4:34C2 = (C2xC10):4D12φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:34C2480,642
D30:4C4:35C2 = (C2xC6):D20φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4:35C2480,645
D30:4C4:36C2 = D30:18D4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:36C2480,648
D30:4C4:37C2 = D30:19D4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:37C2480,649
D30:4C4:38C2 = D30:8D4φ: C2/C1C2 ⊆ Out D30:4C4120D30:4C4:38C2480,653
D30:4C4:39C2 = C4xC3:D20φ: trivial image240D30:4C4:39C2480,519
D30:4C4:40C2 = C4xC5:D12φ: trivial image240D30:4C4:40C2480,521

Non-split extensions G=N.Q with N=D30:4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D30:4C4.1C2 = C4:Dic3:D5φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.1C2480,413
D30:4C4.2C2 = C4:Dic5:S3φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.2C2480,421
D30:4C4.3C2 = (C4xD15):8C4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.3C2480,423
D30:4C4.4C2 = D30:8Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.4C2480,453
D30:4C4.5C2 = C10.D4:S3φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.5C2480,456
D30:4C4.6C2 = D30:9Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.6C2480,459
D30:4C4.7C2 = (C4xDic5):S3φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.7C2480,463
D30:4C4.8C2 = D30:10Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.8C2480,466
D30:4C4.9C2 = D30.C2:C4φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.9C2480,478
D30:4C4.10C2 = D30.23(C2xC4)φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.10C2480,479
D30:4C4.11C2 = D30:Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.11C2480,487
D30:4C4.12C2 = D30:2Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.12C2480,495
D30:4C4.13C2 = D30:3Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.13C2480,500
D30:4C4.14C2 = D30:4Q8φ: C2/C1C2 ⊆ Out D30:4C4240D30:4C4.14C2480,505
D30:4C4.15C2 = (C4xD15):10C4φ: trivial image240D30:4C4.15C2480,462

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