Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₂

Direct product G=N×Q with N=C₅×D₄ and Q=C₂

		d	ρ	Label	ID
D₄×C₁₀		40		D4xC10	80,46

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₂ = D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄	40	4+	(C5xD4):1C2	80,15
(C₅×D₄)⋊₂C₂ = D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄	20	4+	(C5xD4):2C2	80,39
(C₅×D₄)⋊₃C₂ = D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄	40	4-	(C5xD4):3C2	80,40
(C₅×D₄)⋊₄C₂ = C₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄	40	2	(C5xD4):4C2	80,25
(C₅×D₄)⋊₅C₂ = C₅×C₄○D₄	φ: trivial image	40	2	(C5xD4):5C2	80,48

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁C₂ = D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄	40	4-	(C5xD4).1C2	80,16
(C₅×D₄).₂C₂ = C₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄	40	2	(C5xD4).2C2	80,26

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