Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=D₅

Direct product G=N×Q with N=D₄⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×D₄⋊C₄		80		D5xD4:C4	320,396

Semidirect products G=N:Q with N=D₄⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄⋊₁D₅ = Dic₅.₅D₈	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:1D5	320,387
D₄⋊C₄⋊₂D₅ = D₁₀⋊D₈	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:2D5	320,402
D₄⋊C₄⋊₃D₅ = D₁₀⋊SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:3D5	320,405
D₄⋊C₄⋊₄D₅ = D₄⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	80	D4:C4:4D5	320,400
D₄⋊C₄⋊₅D₅ = D₁₀.₁₂D₈	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:5D5	320,401
D₄⋊C₄⋊₆D₅ = D₄.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:6D5	320,410
D₄⋊C₄⋊₇D₅ = C₄₀⋊₅C₄⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:7D5	320,411
D₄⋊C₄⋊₈D₅ = D₂₀⋊₃D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:8D5	320,413
D₄⋊C₄⋊₉D₅ = Dic₁₀⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:9D5	320,389
D₄⋊C₄⋊₁₀D₅ = D₂₀.₈D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	80	D4:C4:10D5	320,403
D₄⋊C₄⋊₁₁D₅ = D₁₀.₁₆SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:11D5	320,404
D₄⋊C₄⋊₁₂D₅ = C₄₀⋊₆C₄⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:12D5	320,406
D₄⋊C₄⋊₁₃D₅ = D₄⋊₃D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:13D5	320,408
D₄⋊C₄⋊₁₄D₅ = D₂₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:14D5	320,414
D₄⋊C₄⋊₁₅D₅ = C₄⋊C₄.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:15D5	320,391
D₄⋊C₄⋊₁₆D₅ = (D₄×D₅)⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	80	D4:C4:16D5	320,397
D₄⋊C₄⋊₁₇D₅ = D₄⋊(C₄×D₅)	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:17D5	320,398
D₄⋊C₄⋊₁₈D₅ = C₅⋊₂C₈⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:18D5	320,407
D₄⋊C₄⋊₁₉D₅ = C₅⋊(C₈⋊₂D₄)	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:19D5	320,409
D₄⋊C₄⋊₂₀D₅ = D₄⋊D₅⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:20D5	320,412
D₄⋊C₄⋊₂₁D₅ = Dic₅⋊₄D₈	φ: trivial image	160	D4:C4:21D5	320,383
D₄⋊C₄⋊₂₂D₅ = D₄⋊₂D₅⋊C₄	φ: trivial image	160	D4:C4:22D5	320,399

Non-split extensions G=N.Q with N=D₄⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄.₁D₅ = (C₈×Dic₅)⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.1D5	320,395
D₄⋊C₄.₂D₅ = Dic₅.₁₄D₈	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.2D5	320,386
D₄⋊C₄.₃D₅ = D₄.₂Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.3D5	320,393
D₄⋊C₄.₄D₅ = Dic₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.4D5	320,394
D₄⋊C₄.₅D₅ = D₄⋊Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.5D5	320,388
D₄⋊C₄.₆D₅ = D₄.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.6D5	320,390
D₄⋊C₄.₇D₅ = D₄.D₅⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.7D5	320,384
D₄⋊C₄.₈D₅ = C₂₀⋊Q₈⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.8D5	320,392
D₄⋊C₄.₉D₅ = Dic₅⋊₆SD₁₆	φ: trivial image	160	D4:C4.9D5	320,385

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Extensions 1→N→G→Q→1 with N=D4⋊C4 and Q=D5

Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=D₅