Extensions 1→N→G→Q→1 with N=Dic15:5C4 and Q=C2

Direct product G=NxQ with N=Dic15:5C4 and Q=C2
dρLabelID
C2xDic15:5C4480C2xDic15:5C4480,620

Semidirect products G=N:Q with N=Dic15:5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic15:5C4:1C2 = C60:5C4:C2φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:1C2480,418
Dic15:5C4:2C2 = Dic3:C4:D5φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:2C2480,424
Dic15:5C4:3C2 = D6:Dic5:C2φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:3C2480,427
Dic15:5C4:4C2 = D30.D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:4C2480,432
Dic15:5C4:5C2 = C60.67D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:5C2480,435
Dic15:5C4:6C2 = (C2xC60).C22φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:6C2480,438
Dic15:5C4:7C2 = (C4xDic3):D5φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:7C2480,439
Dic15:5C4:8C2 = C60.46D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:8C2480,445
Dic15:5C4:9C2 = C5:(C42:3S3)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:9C2480,448
Dic15:5C4:10C2 = D30:8Q8φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:10C2480,453
Dic15:5C4:11C2 = C10.D4:S3φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:11C2480,456
Dic15:5C4:12C2 = (C4xDic5):S3φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:12C2480,463
Dic15:5C4:13C2 = D5xDic3:C4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:13C2480,468
Dic15:5C4:14C2 = (D5xDic3):C4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:14C2480,469
Dic15:5C4:15C2 = D6.(C4xD5)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:15C2480,474
Dic15:5C4:16C2 = S3xC10.D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:16C2480,475
Dic15:5C4:17C2 = D30:Q8φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:17C2480,487
Dic15:5C4:18C2 = D30:3Q8φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:18C2480,500
Dic15:5C4:19C2 = Dic15.D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:19C2480,506
Dic15:5C4:20C2 = D10:4Dic6φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:20C2480,507
Dic15:5C4:21C2 = D6:3Dic10φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:21C2480,508
Dic15:5C4:22C2 = D6:4Dic10φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:22C2480,512
Dic15:5C4:23C2 = D30.2Q8φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:23C2480,513
Dic15:5C4:24C2 = D30.7D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:24C2480,514
Dic15:5C4:25C2 = Dic15:9D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:25C2480,518
Dic15:5C4:26C2 = D30:12D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:26C2480,537
Dic15:5C4:27C2 = C23.13(S3xD5)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:27C2480,606
Dic15:5C4:28C2 = C23.14(S3xD5)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:28C2480,607
Dic15:5C4:29C2 = C23.48(S3xD5)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:29C2480,608
Dic15:5C4:30C2 = (C2xC30).D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:30C2480,612
Dic15:5C4:31C2 = C30.(C2xD4)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:31C2480,615
Dic15:5C4:32C2 = C23.17(S3xD5)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:32C2480,624
Dic15:5C4:33C2 = Dic15:3D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:33C2480,626
Dic15:5C4:34C2 = C15:26(C4xD4)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:34C2480,628
Dic15:5C4:35C2 = (S3xC10).D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:35C2480,631
Dic15:5C4:36C2 = C15:28(C4xD4)φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:36C2480,632
Dic15:5C4:37C2 = Dic15:4D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:37C2480,634
Dic15:5C4:38C2 = Dic15:18D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:38C2480,647
Dic15:5C4:39C2 = (C2xC30):Q8φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:39C2480,650
Dic15:5C4:40C2 = (C2xC10):8Dic6φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:40C2480,651
Dic15:5C4:41C2 = Dic15.48D4φ: C2/C1C2 ⊆ Out Dic15:5C4240Dic15:5C4:41C2480,652
Dic15:5C4:42C2 = (C4xD15):10C4φ: trivial image240Dic15:5C4:42C2480,462
Dic15:5C4:43C2 = C4xC15:D4φ: trivial image240Dic15:5C4:43C2480,515

Non-split extensions G=N.Q with N=Dic15:5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic15:5C4.1C2 = Dic15:5Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.1C2480,401
Dic15:5C4.2C2 = Dic15:1Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.2C2480,403
Dic15:5C4.3C2 = Dic15:Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.3C2480,405
Dic15:5C4.4C2 = Dic30:17C4φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.4C2480,409
Dic15:5C4.5C2 = Dic5.1Dic6φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.5C2480,410
Dic15:5C4.6C2 = Dic15.Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.6C2480,412
Dic15:5C4.7C2 = Dic15.2Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.7C2480,415
Dic15:5C4.8C2 = Dic30:14C4φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.8C2480,416
Dic15:5C4.9C2 = Dic3.Dic10φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.9C2480,419
Dic15:5C4.10C2 = Dic5.7Dic6φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.10C2480,454
Dic15:5C4.11C2 = Dic3.3Dic10φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.11C2480,455
Dic15:5C4.12C2 = C60.6Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.12C2480,457
Dic15:5C4.13C2 = Dic15.4Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.13C2480,458
Dic15:5C4.14C2 = Dic15:8Q8φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.14C2480,461
Dic15:5C4.15C2 = C20.Dic6φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.15C2480,464
Dic15:5C4.16C2 = C20:Dic6φ: C2/C1C2 ⊆ Out Dic15:5C4480Dic15:5C4.16C2480,546
Dic15:5C4.17C2 = C4xC15:Q8φ: trivial image480Dic15:5C4.17C2480,543

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