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		80	4	D5xC8.C4	320,519

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁D₅ = D₄₀.₆C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	80	4+	C8.C4:1D5	320,53
C₈.C₄⋊₂D₅ = D₄₀.₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	160	4	C8.C4:2D5	320,55
C₈.C₄⋊₃D₅ = M₄(2).₂₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:3D5	320,520
C₈.C₄⋊₄D₅ = D₄₀⋊₁₆C₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:4D5	320,521
C₈.C₄⋊₅D₅ = C₈.₂₀D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	160	4-	C8.C4:5D5	320,523
C₈.C₄⋊₆D₅ = C₈.₂₁D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	80	4+	C8.C4:6D5	320,524
C₈.C₄⋊₇D₅ = C₈.₂₄D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:7D5	320,525
C₈.C₄⋊₈D₅ = D₄₀⋊₁₃C₄	φ: trivial image	80	4	C8.C4:8D5	320,522

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 = C₄₀.₇Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	160	4	C8.C4.1D5	320,51
C₈.C₄.₂D₅ = C₄₀.₆Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4.2D5	320,52
C₈.C₄.₃D₅ = C₄₀.₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₄	160	4-	C8.C4.3D5	320,54

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