Extensions 1→N→G→Q→1 with N=C₅×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₅×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄○D₄		80		C10xC4oD4	160,231

Semidirect products G=N:Q with N=C₅×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₄)⋊₁C₂ = D₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	4+	(C5xC4oD4):1C2	160,170
(C₅×C₄○D₄)⋊₂C₂ = D₄.₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4):2C2	160,171
(C₅×C₄○D₄)⋊₃C₂ = D₅×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	4	(C5xC4oD4):3C2	160,223
(C₅×C₄○D₄)⋊₄C₂ = D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	4+	(C5xC4oD4):4C2	160,224
(C₅×C₄○D₄)⋊₅C₂ = D₄.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	4-	(C5xC4oD4):5C2	160,225
(C₅×C₄○D₄)⋊₆C₂ = C₅×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	2	(C5xC4oD4):6C2	160,196
(C₅×C₄○D₄)⋊₇C₂ = C₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	4	(C5xC4oD4):7C2	160,197
(C₅×C₄○D₄)⋊₈C₂ = C₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	4	(C5xC4oD4):8C2	160,232
(C₅×C₄○D₄)⋊₉C₂ = C₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4):9C2	160,233

Non-split extensions G=N.Q with N=C₅×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₄).₁C₂ = D₄⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	4	(C5xC4oD4).1C2	160,44
(C₅×C₄○D₄).₂C₂ = D₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4).2C2	160,169
(C₅×C₄○D₄).₃C₂ = D₄.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	4-	(C5xC4oD4).3C2	160,172
(C₅×C₄○D₄).₄C₂ = C₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	40	2	(C5xC4oD4).4C2	160,54
(C₅×C₄○D₄).₅C₂ = C₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4).5C2	160,198
(C₅×C₄○D₄).₆C₂ = C₅×C₈○D₄	φ: trivial image	80	2	(C5xC4oD4).6C2	160,192

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