Extensions 1→N→G→Q→1 with N=C₈⋊C₄ and Q=D₅

Direct product G=N×Q with N=C₈⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₈⋊C₄		160		D5xC8:C4	320,331

Semidirect products G=N:Q with N=C₈⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄⋊₁D₅ = C₄².₁₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:1D5	320,337
C₈⋊C₄⋊₂D₅ = D₄₀⋊₉C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:2D5	320,338
C₈⋊C₄⋊₃D₅ = C₈⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:3D5	320,339
C₈⋊C₄⋊₄D₅ = C₈.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:4D5	320,342
C₈⋊C₄⋊₅D₅ = D₄₀⋊₁₀C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	80	4	C8:C4:5D5	320,344
C₈⋊C₄⋊₆D₅ = C₄².D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:6D5	320,22
C₈⋊C₄⋊₇D₅ = C₄².₁₈₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:7D5	320,332
C₈⋊C₄⋊₈D₅ = C₈⋊₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:8D5	320,333
C₈⋊C₄⋊₉D₅ = C₄².₁₈₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:9D5	320,336
C₈⋊C₄⋊₁₀D₅ = C₄².₁₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:10D5	320,340
C₈⋊C₄⋊₁₁D₅ = C₄².₂₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:11D5	320,341
C₈⋊C₄⋊₁₂D₅ = D₁₀.₆C₄²	φ: trivial image	160		C8:C4:12D5	320,334
C₈⋊C₄⋊₁₃D₅ = D₁₀.₇C₄²	φ: trivial image	160		C8:C4:13D5	320,335

Non-split extensions G=N.Q with N=C₈⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄.₁D₅ = C₈⋊Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.1D5	320,329
C₈⋊C₄.₂D₅ = Dic₂₀⋊₉C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.2D5	320,343
C₈⋊C₄.₃D₅ = C₄².₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.3D5	320,23
C₈⋊C₄.₄D₅ = C₂₀.₄₅C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	80	4	C8:C4.4D5	320,24
C₈⋊C₄.₅D₅ = C₄₀⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.5D5	320,328
C₈⋊C₄.₆D₅ = C₄².₁₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.6D5	320,330

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