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Extensions 1→N→G→Q→1 with N=D6⋊Dic5 and Q=C2

Direct product G=N×Q with N=D6⋊Dic5 and Q=C2
dρLabelID
C2×D6⋊Dic5240C2xD6:Dic5480,614

Semidirect products G=N:Q with N=D6⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊Dic5⋊1C2 = (C2×C20).D6φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:1C2480,402
D6⋊Dic5⋊2C2 = Dic5.8D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:2C2480,426
D6⋊Dic5⋊3C2 = D6⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:3C2480,427
D6⋊Dic5⋊4C2 = D30.35D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:4C2480,431
D6⋊Dic5⋊5C2 = C60.89D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:5C2480,446
D6⋊Dic5⋊6C2 = C60.69D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:6C2480,449
D6⋊Dic5⋊7C2 = D10.17D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:7C2480,490
D6⋊Dic5⋊8C2 = Dic5×D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:8C2480,491
D6⋊Dic5⋊9C2 = Dic5⋊D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:9C2480,492
D6⋊Dic5⋊10C2 = (C2×D12).D5φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:10C2480,499
D6⋊Dic5⋊11C2 = Dic15⋊8D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:11C2480,511
D6⋊Dic5⋊12C2 = D30.7D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:12C2480,514
D6⋊Dic5⋊13C2 = C15⋊17(C4×D4)φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:13C2480,517
D6⋊Dic5⋊14C2 = C15⋊22(C4×D4)φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:14C2480,522
D6⋊Dic5⋊15C2 = D6⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:15C2480,523
D6⋊Dic5⋊16C2 = C60⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:16C2480,525
D6⋊Dic5⋊17C2 = D10⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:17C2480,528
D6⋊Dic5⋊18C2 = Dic15⋊2D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:18C2480,529
D6⋊Dic5⋊19C2 = Dic15.10D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:19C2480,538
D6⋊Dic5⋊20C2 = Dic15.31D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:20C2480,540
D6⋊Dic5⋊21C2 = C20⋊2D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:21C2480,542
D6⋊Dic5⋊22C2 = D5×D6⋊C4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:22C2480,547
D6⋊Dic5⋊23C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:23C2480,549
D6⋊Dic5⋊24C2 = D30⋊4D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:24C2480,551
D6⋊Dic5⋊25C2 = C23.D5⋊S3φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:25C2480,601
D6⋊Dic5⋊26C2 = C30.(C2×D4)φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:26C2480,615
D6⋊Dic5⋊27C2 = (C2×C10).D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:27C2480,619
D6⋊Dic5⋊28C2 = (C6×D5)⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:28C2480,625
D6⋊Dic5⋊29C2 = Dic5×C3⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:29C2480,627
D6⋊Dic5⋊30C2 = S3×C23.D5φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:30C2480,630
D6⋊Dic5⋊31C2 = (S3×C10).D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:31C2480,631
D6⋊Dic5⋊32C2 = D30⋊7D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:32C2480,633
D6⋊Dic5⋊33C2 = Dic15⋊17D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:33C2480,636
D6⋊Dic5⋊34C2 = (C2×C10)⋊4D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:34C2480,642
D6⋊Dic5⋊35C2 = C15⋊C22≀C2φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:35C2480,644
D6⋊Dic5⋊36C2 = (C2×C10)⋊11D12φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:36C2480,646
D6⋊Dic5⋊37C2 = Dic15⋊18D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5:37C2480,647
D6⋊Dic5⋊38C2 = D30⋊8D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5120D6:Dic5:38C2480,653
D6⋊Dic5⋊39C2 = C4×C15⋊D4φ: trivial image240D6:Dic5:39C2480,515
D6⋊Dic5⋊40C2 = C4×C5⋊D12φ: trivial image240D6:Dic5:40C2480,521

Non-split extensions G=N.Q with N=D6⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊Dic5.1C2 = (S3×C20)⋊5C4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.1C2480,414
D6⋊Dic5.2C2 = D6⋊C4.D5φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.2C2480,417
D6⋊Dic5.3C2 = C60⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.3C2480,418
D6⋊Dic5.4C2 = D6⋊Dic10φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.4C2480,428
D6⋊Dic5.5C2 = C60.45D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.5C2480,441
D6⋊Dic5.6C2 = D6⋊Dic5.C2φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.6C2480,443
D6⋊Dic5.7C2 = C60.46D4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.7C2480,445
D6⋊Dic5.8C2 = C5⋊(C42⋊3S3)φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.8C2480,448
D6⋊Dic5.9C2 = D6.(C4×D5)φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.9C2480,474
D6⋊Dic5.10C2 = (S3×Dic5)⋊C4φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.10C2480,476
D6⋊Dic5.11C2 = D6⋊1Dic10φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.11C2480,486
D6⋊Dic5.12C2 = D6⋊2Dic10φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.12C2480,493
D6⋊Dic5.13C2 = D6⋊3Dic10φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.13C2480,508
D6⋊Dic5.14C2 = D6⋊4Dic10φ: C2/C1 → C2 ⊆ Out D6⋊Dic5240D6:Dic5.14C2480,512
D6⋊Dic5.15C2 = (S3×C20)⋊7C4φ: trivial image240D6:Dic5.15C2480,447

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