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Extensions 1→N→G→Q→1 with N=C30.4Q8 and Q=C2

Direct product G=N×Q with N=C30.4Q8 and Q=C2
dρLabelID
C2×C30.4Q8480C2xC30.4Q8480,888

Semidirect products G=N:Q with N=C30.4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C30.4Q8⋊1C2 = C42⋊3D15φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:1C2480,841
C30.4Q8⋊2C2 = C60.205D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:2C2480,889
C30.4Q8⋊3C2 = C23.28D30φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:3C2480,894
C30.4Q8⋊4C2 = C22⋊2Dic30φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:4C2480,843
C30.4Q8⋊5C2 = C23.8D30φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:5C2480,844
C30.4Q8⋊6C2 = D30⋊9D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:6C2480,849
C30.4Q8⋊7C2 = D30.29D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:7C2480,859
C30.4Q8⋊8C2 = C23.15D30φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:8C2480,842
C30.4Q8⋊9C2 = Dic15⋊19D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:9C2480,846
C30.4Q8⋊10C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:10C2480,848
C30.4Q8⋊11C2 = C4⋊C4×D15φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:11C2480,856
C30.4Q8⋊12C2 = D6⋊C4.D5φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:12C2480,417
C30.4Q8⋊13C2 = (C6×D5).D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:13C2480,483
C30.4Q8⋊14C2 = Dic15⋊D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:14C2480,484
C30.4Q8⋊15C2 = D6⋊1Dic10φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:15C2480,486
C30.4Q8⋊16C2 = D6⋊4Dic10φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:16C2480,512
C30.4Q8⋊17C2 = (C2×C12).D10φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:17C2480,437
C30.4Q8⋊18C2 = D10⋊1Dic6φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:18C2480,497
C30.4Q8⋊19C2 = (C2×D12).D5φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:19C2480,499
C30.4Q8⋊20C2 = Dic15.D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:20C2480,506
C30.4Q8⋊21C2 = Dic15⋊2D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:21C2480,529
C30.4Q8⋊22C2 = D10⋊Dic6φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:22C2480,425
C30.4Q8⋊23C2 = C5⋊(C42⋊3S3)φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:23C2480,448
C30.4Q8⋊24C2 = D5×Dic3⋊C4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:24C2480,468
C30.4Q8⋊25C2 = D6.(C4×D5)φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:25C2480,474
C30.4Q8⋊26C2 = D6⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:26C2480,516
C30.4Q8⋊27C2 = D6⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:27C2480,523
C30.4Q8⋊28C2 = D6⋊Dic10φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:28C2480,428
C30.4Q8⋊29C2 = (C4×Dic3)⋊D5φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:29C2480,439
C30.4Q8⋊30C2 = (D5×Dic3)⋊C4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:30C2480,469
C30.4Q8⋊31C2 = S3×C10.D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:31C2480,475
C30.4Q8⋊32C2 = C15⋊17(C4×D4)φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:32C2480,517
C30.4Q8⋊33C2 = D10⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:33C2480,528
C30.4Q8⋊34C2 = D30⋊5Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:34C2480,861
C30.4Q8⋊35C2 = C4⋊C4⋊D15φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:35C2480,863
C30.4Q8⋊36C2 = C23.22D30φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:36C2480,900
C30.4Q8⋊37C2 = Dic15⋊12D4φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:37C2480,904
C30.4Q8⋊38C2 = D30⋊7Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8240C30.4Q8:38C2480,911
C30.4Q8⋊39C2 = C42⋊2D15φ: trivial image240C30.4Q8:39C2480,837
C30.4Q8⋊40C2 = C4×C15⋊7D4φ: trivial image240C30.4Q8:40C2480,893

Non-split extensions G=N.Q with N=C30.4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C30.4Q8.1C2 = C60.24Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.1C2480,835
C30.4Q8.2C2 = C4⋊Dic30φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.2C2480,853
C30.4Q8.3C2 = Dic15.3Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.3C2480,854
C30.4Q8.4C2 = C4.Dic30φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.4C2480,855
C30.4Q8.5C2 = Dic15⋊10Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.5C2480,852
C30.4Q8.6C2 = Dic15⋊1Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.6C2480,403
C30.4Q8.7C2 = Dic15.2Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.7C2480,415
C30.4Q8.8C2 = Dic3.2Dic10φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.8C2480,422
C30.4Q8.9C2 = Dic15⋊Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.9C2480,405
C30.4Q8.10C2 = Dic5.2Dic6φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.10C2480,411
C30.4Q8.11C2 = Dic15.Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.11C2480,412
C30.4Q8.12C2 = Dic5⋊5Dic6φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.12C2480,399
C30.4Q8.13C2 = Dic5.7Dic6φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.13C2480,454
C30.4Q8.14C2 = Dic3⋊5Dic10φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.14C2480,400
C30.4Q8.15C2 = Dic3.3Dic10φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.15C2480,455
C30.4Q8.16C2 = Dic15⋊4Q8φ: C2/C1 → C2 ⊆ Out C30.4Q8480C30.4Q8.16C2480,909
C30.4Q8.17C2 = C4×Dic30φ: trivial image480C30.4Q8.17C2480,833

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