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

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

Semidirect products G=N:Q with N=D30⋊4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D30⋊4C4⋊1C2 = (C2×C20).D6φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:1C2480,402
D30⋊4C4⋊2C2 = Dic3⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:2C2480,424
D30⋊4C4⋊3C2 = Dic5.8D12φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:3C2480,426
D30⋊4C4⋊4C2 = D6⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:4C2480,427
D30⋊4C4⋊5C2 = Dic3.D20φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:5C2480,429
D30⋊4C4⋊6C2 = D30.34D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:6C2480,430
D30⋊4C4⋊7C2 = D30.35D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:7C2480,431
D30⋊4C4⋊8C2 = C60.47D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:8C2480,450
D30⋊4C4⋊9C2 = C60.70D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:9C2480,451
D30⋊4C4⋊10C2 = Dic15⋊13D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:10C2480,472
D30⋊4C4⋊11C2 = Dic15⋊14D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:11C2480,482
D30⋊4C4⋊12C2 = D10.16D12φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:12C2480,489
D30⋊4C4⋊13C2 = D60⋊17C4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:13C2480,494
D30⋊4C4⋊14C2 = D30⋊D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:14C2480,496
D30⋊4C4⋊15C2 = D6.D20φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:15C2480,503
D30⋊4C4⋊16C2 = D60⋊14C4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:16C2480,504
D30⋊4C4⋊17C2 = D30.6D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:17C2480,509
D30⋊4C4⋊18C2 = C12⋊7D20φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:18C2480,526
D30⋊4C4⋊19C2 = (C2×Dic6)⋊D5φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:19C2480,531
D30⋊4C4⋊20C2 = D30⋊2D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:20C2480,535
D30⋊4C4⋊21C2 = C60⋊6D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:21C2480,536
D30⋊4C4⋊22C2 = D5×D6⋊C4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:22C2480,547
D30⋊4C4⋊23C2 = S3×D10⋊C4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:23C2480,548
D30⋊4C4⋊24C2 = D30⋊5D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:24C2480,552
D30⋊4C4⋊25C2 = Dic15.19D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:25C2480,602
D30⋊4C4⋊26C2 = C10.(C2×D12)φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:26C2480,618
D30⋊4C4⋊27C2 = C6.D4⋊D5φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:27C2480,622
D30⋊4C4⋊28C2 = Dic15⋊3D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:28C2480,626
D30⋊4C4⋊29C2 = C15⋊26(C4×D4)φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:29C2480,628
D30⋊4C4⋊30C2 = C15⋊28(C4×D4)φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:30C2480,632
D30⋊4C4⋊31C2 = Dic15⋊4D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:31C2480,634
D30⋊4C4⋊32C2 = D30.45D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:32C2480,637
D30⋊4C4⋊33C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:33C2480,638
D30⋊4C4⋊34C2 = (C2×C10)⋊4D12φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:34C2480,642
D30⋊4C4⋊35C2 = (C2×C6)⋊D20φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4:35C2480,645
D30⋊4C4⋊36C2 = D30⋊18D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:36C2480,648
D30⋊4C4⋊37C2 = D30⋊19D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:37C2480,649
D30⋊4C4⋊38C2 = D30⋊8D4φ: C2/C1 → C2 ⊆ Out D30⋊4C4120D30:4C4:38C2480,653
D30⋊4C4⋊39C2 = C4×C3⋊D20φ: trivial image240D30:4C4:39C2480,519
D30⋊4C4⋊40C2 = C4×C5⋊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/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.1C2480,413
D30⋊4C4.2C2 = C4⋊Dic5⋊S3φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.2C2480,421
D30⋊4C4.3C2 = (C4×D15)⋊8C4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.3C2480,423
D30⋊4C4.4C2 = D30⋊8Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.4C2480,453
D30⋊4C4.5C2 = C10.D4⋊S3φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.5C2480,456
D30⋊4C4.6C2 = D30⋊9Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.6C2480,459
D30⋊4C4.7C2 = (C4×Dic5)⋊S3φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.7C2480,463
D30⋊4C4.8C2 = D30⋊10Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.8C2480,466
D30⋊4C4.9C2 = D30.C2⋊C4φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.9C2480,478
D30⋊4C4.10C2 = D30.23(C2×C4)φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.10C2480,479
D30⋊4C4.11C2 = D30⋊Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.11C2480,487
D30⋊4C4.12C2 = D30⋊2Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.12C2480,495
D30⋊4C4.13C2 = D30⋊3Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.13C2480,500
D30⋊4C4.14C2 = D30⋊4Q8φ: C2/C1 → C2 ⊆ Out D30⋊4C4240D30:4C4.14C2480,505
D30⋊4C4.15C2 = (C4×D15)⋊10C4φ: trivial image240D30:4C4.15C2480,462

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