Extensions 1→N→G→Q→1 with N=D6⋊C4 and Q=D5

Direct product G=N×Q with N=D6⋊C4 and Q=D5
dρLabelID
D5×D6⋊C4120D5xD6:C4480,547

Semidirect products G=N:Q with N=D6⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
D6⋊C41D5 = Dic5.8D12φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:1D5480,426
D6⋊C42D5 = D6⋊C4⋊D5φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:2D5480,523
D6⋊C43D5 = D10⋊D12φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:3D5480,524
D6⋊C44D5 = D10.17D12φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:4D5480,490
D6⋊C45D5 = D30⋊D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:5D5480,496
D6⋊C46D5 = D6.9D20φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:6D5480,533
D6⋊C47D5 = Dic15.10D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:7D5480,538
D6⋊C48D5 = D305D4φ: D5/C5C2 ⊆ Out D6⋊C4120D6:C4:8D5480,552
D6⋊C49D5 = D30.35D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:9D5480,431
D6⋊C410D5 = Dic1514D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:10D5480,482
D6⋊C411D5 = Dic159D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:11D5480,518
D6⋊C412D5 = D3012D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:12D5480,537
D6⋊C413D5 = Dic15.31D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:13D5480,540
D6⋊C414D5 = D30.27D4φ: D5/C5C2 ⊆ Out D6⋊C4120D6:C4:14D5480,549
D6⋊C415D5 = (C2×C20).D6φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:15D5480,402
D6⋊C416D5 = Dic15⋊D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:16D5480,484
D6⋊C417D5 = D6.D20φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:17D5480,503
D6⋊C418D5 = D30.7D4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4:18D5480,514
D6⋊C419D5 = D64D20φ: D5/C5C2 ⊆ Out D6⋊C4120D6:C4:19D5480,550
D6⋊C420D5 = Dic54D12φ: trivial image240D6:C4:20D5480,481
D6⋊C421D5 = D6⋊(C4×D5)φ: trivial image240D6:C4:21D5480,516

Non-split extensions G=N.Q with N=D6⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
D6⋊C4.1D5 = C5⋊(C423S3)φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.1D5480,448
D6⋊C4.2D5 = C605C4⋊C2φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.2D5480,418
D6⋊C4.3D5 = D62Dic10φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.3D5480,493
D6⋊C4.4D5 = D63Dic10φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.4D5480,508
D6⋊C4.5D5 = D6⋊Dic5.C2φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.5D5480,443
D6⋊C4.6D5 = (S3×Dic5)⋊C4φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.6D5480,476
D6⋊C4.7D5 = D6⋊C4.D5φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.7D5480,417
D6⋊C4.8D5 = D61Dic10φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.8D5480,486
D6⋊C4.9D5 = D64Dic10φ: D5/C5C2 ⊆ Out D6⋊C4240D6:C4.9D5480,512
D6⋊C4.10D5 = D6.(C4×D5)φ: trivial image240D6:C4.10D5480,474

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