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

Direct product G=NxQ with N=C30.4Q8 and Q=C2
dρLabelID
C2xC30.4Q8480C2xC30.4Q8480,888

Semidirect products G=N:Q with N=C30.4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C30.4Q8:1C2 = C42:3D15φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:1C2480,841
C30.4Q8:2C2 = C60.205D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:2C2480,889
C30.4Q8:3C2 = C23.28D30φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:3C2480,894
C30.4Q8:4C2 = C22:2Dic30φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:4C2480,843
C30.4Q8:5C2 = C23.8D30φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:5C2480,844
C30.4Q8:6C2 = D30:9D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:6C2480,849
C30.4Q8:7C2 = D30.29D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:7C2480,859
C30.4Q8:8C2 = C23.15D30φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:8C2480,842
C30.4Q8:9C2 = Dic15:19D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:9C2480,846
C30.4Q8:10C2 = D30.28D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:10C2480,848
C30.4Q8:11C2 = C4:C4xD15φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:11C2480,856
C30.4Q8:12C2 = D6:C4.D5φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:12C2480,417
C30.4Q8:13C2 = (C6xD5).D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:13C2480,483
C30.4Q8:14C2 = Dic15:D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:14C2480,484
C30.4Q8:15C2 = D6:1Dic10φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:15C2480,486
C30.4Q8:16C2 = D6:4Dic10φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:16C2480,512
C30.4Q8:17C2 = (C2xC12).D10φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:17C2480,437
C30.4Q8:18C2 = D10:1Dic6φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:18C2480,497
C30.4Q8:19C2 = (C2xD12).D5φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:19C2480,499
C30.4Q8:20C2 = Dic15.D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:20C2480,506
C30.4Q8:21C2 = Dic15:2D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:21C2480,529
C30.4Q8:22C2 = D10:Dic6φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:22C2480,425
C30.4Q8:23C2 = C5:(C42:3S3)φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:23C2480,448
C30.4Q8:24C2 = D5xDic3:C4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:24C2480,468
C30.4Q8:25C2 = D6.(C4xD5)φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:25C2480,474
C30.4Q8:26C2 = D6:(C4xD5)φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:26C2480,516
C30.4Q8:27C2 = D6:C4:D5φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:27C2480,523
C30.4Q8:28C2 = D6:Dic10φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:28C2480,428
C30.4Q8:29C2 = (C4xDic3):D5φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:29C2480,439
C30.4Q8:30C2 = (D5xDic3):C4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:30C2480,469
C30.4Q8:31C2 = S3xC10.D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:31C2480,475
C30.4Q8:32C2 = C15:17(C4xD4)φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:32C2480,517
C30.4Q8:33C2 = D10:C4:S3φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:33C2480,528
C30.4Q8:34C2 = D30:5Q8φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:34C2480,861
C30.4Q8:35C2 = C4:C4:D15φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:35C2480,863
C30.4Q8:36C2 = C23.22D30φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:36C2480,900
C30.4Q8:37C2 = Dic15:12D4φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:37C2480,904
C30.4Q8:38C2 = D30:7Q8φ: C2/C1C2 ⊆ Out C30.4Q8240C30.4Q8:38C2480,911
C30.4Q8:39C2 = C42:2D15φ: trivial image240C30.4Q8:39C2480,837
C30.4Q8:40C2 = C4xC15:7D4φ: 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/C1C2 ⊆ Out C30.4Q8480C30.4Q8.1C2480,835
C30.4Q8.2C2 = C4:Dic30φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.2C2480,853
C30.4Q8.3C2 = Dic15.3Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.3C2480,854
C30.4Q8.4C2 = C4.Dic30φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.4C2480,855
C30.4Q8.5C2 = Dic15:10Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.5C2480,852
C30.4Q8.6C2 = Dic15:1Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.6C2480,403
C30.4Q8.7C2 = Dic15.2Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.7C2480,415
C30.4Q8.8C2 = Dic3.2Dic10φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.8C2480,422
C30.4Q8.9C2 = Dic15:Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.9C2480,405
C30.4Q8.10C2 = Dic5.2Dic6φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.10C2480,411
C30.4Q8.11C2 = Dic15.Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.11C2480,412
C30.4Q8.12C2 = Dic5:5Dic6φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.12C2480,399
C30.4Q8.13C2 = Dic5.7Dic6φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.13C2480,454
C30.4Q8.14C2 = Dic3:5Dic10φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.14C2480,400
C30.4Q8.15C2 = Dic3.3Dic10φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.15C2480,455
C30.4Q8.16C2 = Dic15:4Q8φ: C2/C1C2 ⊆ Out C30.4Q8480C30.4Q8.16C2480,909
C30.4Q8.17C2 = C4xDic30φ: trivial image480C30.4Q8.17C2480,833

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