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

Direct product G=N×Q with N=C30.Q8 and Q=C2
dρLabelID
C2×C30.Q8480C2xC30.Q8480,617

Semidirect products G=N:Q with N=C30.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C30.Q8⋊1C2 = D6⋊C4.D5φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:1C2480,417
C30.Q8⋊2C2 = C4⋊Dic5⋊S3φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:2C2480,421
C30.Q8⋊3C2 = D10⋊Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:3C2480,425
C30.Q8⋊4C2 = D30.34D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:4C2480,430
C30.Q8⋊5C2 = (C4×Dic3)⋊D5φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:5C2480,439
C30.Q8⋊6C2 = C60.45D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:6C2480,441
C30.Q8⋊7C2 = (C4×Dic15)⋊C2φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:7C2480,442
C30.Q8⋊8C2 = D6⋊Dic5.C2φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:8C2480,443
C30.Q8⋊9C2 = C10.D4⋊S3φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:9C2480,456
C30.Q8⋊10C2 = D30⋊9Q8φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:10C2480,459
C30.Q8⋊11C2 = S3×C10.D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:11C2480,475
C30.Q8⋊12C2 = (S3×Dic5)⋊C4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:12C2480,476
C30.Q8⋊13C2 = D30.23(C2×C4)φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:13C2480,479
C30.Q8⋊14C2 = D30.Q8φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:14C2480,480
C30.Q8⋊15C2 = Dic5⋊4D12φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:15C2480,481
C30.Q8⋊16C2 = D6⋊1Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:16C2480,486
C30.Q8⋊17C2 = D30⋊Q8φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:17C2480,487
C30.Q8⋊18C2 = D5×C4⋊Dic3φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:18C2480,488
C30.Q8⋊19C2 = D10.16D12φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:19C2480,489
C30.Q8⋊20C2 = D10.17D12φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:20C2480,490
C30.Q8⋊21C2 = D6⋊2Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:21C2480,493
C30.Q8⋊22C2 = D30⋊2Q8φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:22C2480,495
C30.Q8⋊23C2 = D10⋊1Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:23C2480,497
C30.Q8⋊24C2 = D10⋊4Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:24C2480,507
C30.Q8⋊25C2 = D10⋊D12φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:25C2480,524
C30.Q8⋊26C2 = D10⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:26C2480,528
C30.Q8⋊27C2 = (C6×Dic5)⋊7C4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:27C2480,604
C30.Q8⋊28C2 = C23.13(S3×D5)φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:28C2480,606
C30.Q8⋊29C2 = C23.14(S3×D5)φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:29C2480,607
C30.Q8⋊30C2 = D30⋊6D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:30C2480,609
C30.Q8⋊31C2 = C10.(C2×D12)φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:31C2480,618
C30.Q8⋊32C2 = (C2×C10).D12φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:32C2480,619
C30.Q8⋊33C2 = Dic3×C5⋊D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:33C2480,629
C30.Q8⋊34C2 = (S3×C10).D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:34C2480,631
C30.Q8⋊35C2 = Dic15⋊16D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:35C2480,635
C30.Q8⋊36C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:36C2480,638
C30.Q8⋊37C2 = (S3×C10)⋊D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:37C2480,641
C30.Q8⋊38C2 = (C2×C10)⋊4D12φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:38C2480,642
C30.Q8⋊39C2 = (C2×C30)⋊Q8φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:39C2480,650
C30.Q8⋊40C2 = (C2×C10)⋊8Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:40C2480,651
C30.Q8⋊41C2 = Dic15.48D4φ: C2/C1 → C2 ⊆ Out C30.Q8240C30.Q8:41C2480,652
C30.Q8⋊42C2 = (D5×C12)⋊C4φ: trivial image240C30.Q8:42C2480,433
C30.Q8⋊43C2 = C4×C5⋊D12φ: trivial image240C30.Q8:43C2480,521

Non-split extensions G=N.Q with N=C30.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C30.Q8.1C2 = Dic5⋊5Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.1C2480,399
C30.Q8.2C2 = Dic3⋊Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.2C2480,404
C30.Q8.3C2 = Dic15⋊Q8φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.3C2480,405
C30.Q8.4C2 = Dic3×Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.4C2480,406
C30.Q8.5C2 = Dic15⋊6Q8φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.5C2480,407
C30.Q8.6C2 = Dic5.1Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.6C2480,410
C30.Q8.7C2 = Dic5.2Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.7C2480,411
C30.Q8.8C2 = Dic15.2Q8φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.8C2480,415
C30.Q8.9C2 = Dic3.2Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.9C2480,422
C30.Q8.10C2 = Dic5⋊Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.10C2480,452
C30.Q8.11C2 = Dic5.7Dic6φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.11C2480,454
C30.Q8.12C2 = Dic3.3Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.12C2480,455
C30.Q8.13C2 = C60.6Q8φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.13C2480,457
C30.Q8.14C2 = Dic15.4Q8φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.14C2480,458
C30.Q8.15C2 = C12.Dic10φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.15C2480,460
C30.Q8.16C2 = C60⋊Q8φ: C2/C1 → C2 ⊆ Out C30.Q8480C30.Q8.16C2480,544
C30.Q8.17C2 = C4×C15⋊Q8φ: trivial image480C30.Q8.17C2480,543

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