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

		d	ρ	Label	ID
D₅×D₆⋊C₄		120		D5xD6:C4	480,547

Semidirect products G=N:Q with N=D₆⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
D₆⋊C₄⋊₁D₅ = Dic₅.₈D₁₂	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:1D5	480,426
D₆⋊C₄⋊₂D₅ = D₆⋊C₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:2D5	480,523
D₆⋊C₄⋊₃D₅ = D₁₀⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:3D5	480,524
D₆⋊C₄⋊₄D₅ = D₁₀.₁₇D₁₂	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:4D5	480,490
D₆⋊C₄⋊₅D₅ = D₃₀⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:5D5	480,496
D₆⋊C₄⋊₆D₅ = D₆.₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:6D5	480,533
D₆⋊C₄⋊₇D₅ = Dic₁₅.₁₀D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:7D5	480,538
D₆⋊C₄⋊₈D₅ = D₃₀⋊₅D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	120	D6:C4:8D5	480,552
D₆⋊C₄⋊₉D₅ = D₃₀.₃₅D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:9D5	480,431
D₆⋊C₄⋊₁₀D₅ = Dic₁₅⋊₁₄D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:10D5	480,482
D₆⋊C₄⋊₁₁D₅ = Dic₁₅⋊₉D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:11D5	480,518
D₆⋊C₄⋊₁₂D₅ = D₃₀⋊₁₂D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:12D5	480,537
D₆⋊C₄⋊₁₃D₅ = Dic₁₅.₃₁D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:13D5	480,540
D₆⋊C₄⋊₁₄D₅ = D₃₀.₂₇D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	120	D6:C4:14D5	480,549
D₆⋊C₄⋊₁₅D₅ = (C₂×C₂₀).D₆	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:15D5	480,402
D₆⋊C₄⋊₁₆D₅ = Dic₁₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:16D5	480,484
D₆⋊C₄⋊₁₇D₅ = D₆.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:17D5	480,503
D₆⋊C₄⋊₁₈D₅ = D₃₀.₇D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4:18D5	480,514
D₆⋊C₄⋊₁₉D₅ = D₆⋊₄D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	120	D6:C4:19D5	480,550
D₆⋊C₄⋊₂₀D₅ = Dic₅⋊₄D₁₂	φ: trivial image	240	D6:C4:20D5	480,481
D₆⋊C₄⋊₂₁D₅ = D₆⋊(C₄×D₅)	φ: trivial image	240	D6:C4:21D5	480,516

Non-split extensions G=N.Q with N=D₆⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
D₆⋊C₄.₁D₅ = C₅⋊(C₄²⋊₃S₃)	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.1D5	480,448
D₆⋊C₄.₂D₅ = C₆₀⋊₅C₄⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.2D5	480,418
D₆⋊C₄.₃D₅ = D₆⋊₂Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.3D5	480,493
D₆⋊C₄.₄D₅ = D₆⋊₃Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.4D5	480,508
D₆⋊C₄.₅D₅ = D₆⋊Dic₅.C₂	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.5D5	480,443
D₆⋊C₄.₆D₅ = (S₃×Dic₅)⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.6D5	480,476
D₆⋊C₄.₇D₅ = D₆⋊C₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.7D5	480,417
D₆⋊C₄.₈D₅ = D₆⋊₁Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.8D5	480,486
D₆⋊C₄.₉D₅ = D₆⋊₄Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₆⋊C₄	240	D6:C4.9D5	480,512
D₆⋊C₄.₁₀D₅ = D₆.(C₄×D₅)	φ: trivial image	240	D6:C4.10D5	480,474

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

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