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Extensions 1→N→G→Q→1 with N=D30⋊3C4 and Q=C2

Direct product G=N×Q with N=D30⋊3C4 and Q=C2
dρLabelID
C2×D30⋊3C4240C2xD30:3C4480,892

Semidirect products G=N:Q with N=D30⋊3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D30⋊3C4⋊1C2 = C42⋊7D15φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:1C2480,840
D30⋊3C4⋊2C2 = C23.28D30φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:2C2480,894
D30⋊3C4⋊3C2 = C60⋊29D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:3C2480,895
D30⋊3C4⋊4C2 = D30⋊16D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:4C2480,847
D30⋊3C4⋊5C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:5C2480,848
D30⋊3C4⋊6C2 = C23.11D30φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:6C2480,850
D30⋊3C4⋊7C2 = C22.D60φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:7C2480,851
D30⋊3C4⋊8C2 = C4⋊D60φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:8C2480,860
D30⋊3C4⋊9C2 = C22⋊C4×D15φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:9C2480,845
D30⋊3C4⋊10C2 = Dic15⋊19D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:10C2480,846
D30⋊3C4⋊11C2 = D30⋊9D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:11C2480,849
D30⋊3C4⋊12C2 = D60⋊11C4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:12C2480,858
D30⋊3C4⋊13C2 = (C2×C20).D6φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:13C2480,402
D30⋊3C4⋊14C2 = Dic3⋊D20φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:14C2480,485
D30⋊3C4⋊15C2 = D6.D20φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:15C2480,503
D30⋊3C4⋊16C2 = D30.7D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:16C2480,514
D30⋊3C4⋊17C2 = D6⋊4D20φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:17C2480,550
D30⋊3C4⋊18C2 = D30.D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:18C2480,432
D30⋊3C4⋊19C2 = D10.16D12φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:19C2480,489
D30⋊3C4⋊20C2 = Dic5⋊D12φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:20C2480,492
D30⋊3C4⋊21C2 = (C2×Dic6)⋊D5φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:21C2480,531
D30⋊3C4⋊22C2 = D30⋊4D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:22C2480,551
D30⋊3C4⋊23C2 = Dic3⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:23C2480,424
D30⋊3C4⋊24C2 = Dic5.8D12φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:24C2480,426
D30⋊3C4⋊25C2 = Dic5⋊4D12φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:25C2480,481
D30⋊3C4⋊26C2 = C15⋊20(C4×D4)φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:26C2480,520
D30⋊3C4⋊27C2 = D10⋊D12φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:27C2480,524
D30⋊3C4⋊28C2 = D5×D6⋊C4φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:28C2480,547
D30⋊3C4⋊29C2 = D6⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:29C2480,427
D30⋊3C4⋊30C2 = Dic3.D20φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:30C2480,429
D30⋊3C4⋊31C2 = Dic3⋊4D20φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:31C2480,471
D30⋊3C4⋊32C2 = C15⋊22(C4×D4)φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:32C2480,522
D30⋊3C4⋊33C2 = D6⋊D20φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:33C2480,530
D30⋊3C4⋊34C2 = S3×D10⋊C4φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:34C2480,548
D30⋊3C4⋊35C2 = D30.29D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:35C2480,859
D30⋊3C4⋊36C2 = D30⋊17D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4120D30:3C4:36C2480,902
D30⋊3C4⋊37C2 = Dic15⋊12D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:37C2480,904
D30⋊3C4⋊38C2 = C60.23D4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4:38C2480,912
D30⋊3C4⋊39C2 = C4×D60φ: trivial image240D30:3C4:39C2480,838
D30⋊3C4⋊40C2 = C4×C15⋊7D4φ: trivial image240D30:3C4:40C2480,893

Non-split extensions G=N.Q with N=D30⋊3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D30⋊3C4.1C2 = C42⋊3D15φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.1C2480,841
D30⋊3C4.2C2 = D30⋊5Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.2C2480,861
D30⋊3C4.3C2 = D30⋊6Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.3C2480,862
D30⋊3C4.4C2 = C4⋊C4⋊D15φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.4C2480,863
D30⋊3C4.5C2 = C4⋊C4⋊7D15φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.5C2480,857
D30⋊3C4.6C2 = C4⋊Dic5⋊S3φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.6C2480,421
D30⋊3C4.7C2 = D30⋊Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.7C2480,487
D30⋊3C4.8C2 = D30⋊4Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.8C2480,505
D30⋊3C4.9C2 = C4⋊Dic3⋊D5φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.9C2480,413
D30⋊3C4.10C2 = D30⋊2Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.10C2480,495
D30⋊3C4.11C2 = D30⋊3Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.11C2480,500
D30⋊3C4.12C2 = (C4×Dic5)⋊S3φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.12C2480,463
D30⋊3C4.13C2 = D30.C2⋊C4φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.13C2480,478
D30⋊3C4.14C2 = C10.D4⋊S3φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.14C2480,456
D30⋊3C4.15C2 = D30.23(C2×C4)φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.15C2480,479
D30⋊3C4.16C2 = D30⋊7Q8φ: C2/C1 → C2 ⊆ Out D30⋊3C4240D30:3C4.16C2480,911
D30⋊3C4.17C2 = C42⋊2D15φ: trivial image240D30:3C4.17C2480,837

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