Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=D₅

Direct product G=N×Q with N=Q₈⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×Q₈⋊C₄		160		D5xQ8:C4	320,428

Semidirect products G=N:Q with N=Q₈⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄⋊₁D₅ = Q₈⋊Dic₅⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:1D5	320,427
Q₈⋊C₄⋊₂D₅ = D₁₀⋊₂SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:2D5	320,434
Q₈⋊C₄⋊₃D₅ = D₁₀⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:3D5	320,440
Q₈⋊C₄⋊₄D₅ = D₁₀⋊₄Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:4D5	320,435
Q₈⋊C₄⋊₅D₅ = D₁₀.₇Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:5D5	320,436
Q₈⋊C₄⋊₆D₅ = D₂₀⋊₄D₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:6D5	320,438
Q₈⋊C₄⋊₇D₅ = (C₂×C₈).D₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:7D5	320,441
Q₈⋊C₄⋊₈D₅ = D₂₀.₁₂D₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:8D5	320,446
Q₈⋊C₄⋊₉D₅ = Dic₁₀.₁₁D₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:9D5	320,425
Q₈⋊C₄⋊₁₀D₅ = D₁₀.₁₁SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:10D5	320,432
Q₈⋊C₄⋊₁₁D₅ = Q₈⋊₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:11D5	320,433
Q₈⋊C₄⋊₁₂D₅ = Q₈.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:12D5	320,437
Q₈⋊C₄⋊₁₃D₅ = D₁₀⋊₁C₈.C₂	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:13D5	320,442
Q₈⋊C₄⋊₁₄D₅ = Dic₅⋊SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:14D5	320,445
Q₈⋊C₄⋊₁₅D₅ = Q₈⋊C₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:15D5	320,422
Q₈⋊C₄⋊₁₆D₅ = (Q₈×D₅)⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:16D5	320,429
Q₈⋊C₄⋊₁₇D₅ = Q₈⋊(C₄×D₅)	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:17D5	320,430
Q₈⋊C₄⋊₁₈D₅ = C₅⋊(C₈⋊D₄)	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:18D5	320,439
Q₈⋊C₄⋊₁₉D₅ = C₅⋊₂C₈.D₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:19D5	320,443
Q₈⋊C₄⋊₂₀D₅ = Q₈⋊D₅⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	160	Q8:C4:20D5	320,444
Q₈⋊C₄⋊₂₁D₅ = Dic₅⋊₇SD₁₆	φ: trivial image	160	Q8:C4:21D5	320,415
Q₈⋊C₄⋊₂₂D₅ = Q₈⋊₂D₅⋊C₄	φ: trivial image	160	Q8:C4:22D5	320,431

Non-split extensions G=N.Q with N=Q₈⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄.₁D₅ = Dic₅.₃Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.1D5	320,419
Q₈⋊C₄.₂D₅ = Dic₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.2D5	320,420
Q₈⋊C₄.₃D₅ = Dic₅.₉Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.3D5	320,421
Q₈⋊C₄.₄D₅ = Q₈.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.4D5	320,423
Q₈⋊C₄.₅D₅ = Q₈⋊Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.5D5	320,418
Q₈⋊C₄.₆D₅ = Q₈.₂Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.6D5	320,426
Q₈⋊C₄.₇D₅ = C₅⋊Q₁₆⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.7D5	320,416
Q₈⋊C₄.₈D₅ = C₄₀⋊₈C₄.C₂	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊C₄	320	Q8:C4.8D5	320,424
Q₈⋊C₄.₉D₅ = Dic₅⋊₄Q₁₆	φ: trivial image	320	Q8:C4.9D5	320,417

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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=D5

Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=D₅