Extensions 1→N→G→Q→1 with N=C₅×C₈○D₄ and Q=C₂

Direct product G=N×Q with N=C₅×C₈○D₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₈○D₄		160		C10xC8oD4	320,1569

Semidirect products G=N:Q with N=C₅×C₈○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₈○D₄)⋊₁C₂ = D₄.₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):1C2	320,768
(C₅×C₈○D₄)⋊₂C₂ = D₄.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4+	(C5xC8oD4):2C2	320,769
(C₅×C₈○D₄)⋊₃C₂ = D₄.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):3C2	320,1423
(C₅×C₈○D₄)⋊₄C₂ = D₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4+	(C5xC8oD4):4C2	320,1424
(C₅×C₈○D₄)⋊₅C₂ = D₄.₁₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	4-	(C5xC8oD4):5C2	320,1425
(C₅×C₈○D₄)⋊₆C₂ = C₄₀.₉₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):6C2	320,771
(C₅×C₈○D₄)⋊₇C₂ = C₄₀.₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):7C2	320,772
(C₅×C₈○D₄)⋊₈C₂ = D₅×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):8C2	320,1421
(C₅×C₈○D₄)⋊₉C₂ = C₂₀.₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):9C2	320,1422
(C₅×C₈○D₄)⋊₁₀C₂ = C₅×D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):10C2	320,972
(C₅×C₈○D₄)⋊₁₁C₂ = C₅×D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):11C2	320,973
(C₅×C₈○D₄)⋊₁₂C₂ = C₅×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):12C2	320,1578
(C₅×C₈○D₄)⋊₁₃C₂ = C₅×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):13C2	320,1579
(C₅×C₈○D₄)⋊₁₄C₂ = C₅×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	4	(C5xC8oD4):14C2	320,1580
(C₅×C₈○D₄)⋊₁₅C₂ = C₅×C₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	2	(C5xC8oD4):15C2	320,944
(C₅×C₈○D₄)⋊₁₆C₂ = C₅×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):16C2	320,945
(C₅×C₈○D₄)⋊₁₇C₂ = C₅×Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	80	4	(C5xC8oD4):17C2	320,1570

Non-split extensions G=N.Q with N=C₅×C₈○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₈○D₄).₁C₂ = D₄.₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	4-	(C5xC8oD4).1C2	320,770
(C₅×C₈○D₄).₂C₂ = C₄₀.₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	4	(C5xC8oD4).2C2	320,119
(C₅×C₈○D₄).₃C₂ = C₄₀.₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	4	(C5xC8oD4).3C2	320,767
(C₅×C₈○D₄).₄C₂ = C₅×D₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	4	(C5xC8oD4).4C2	320,974
(C₅×C₈○D₄).₅C₂ = C₅×D₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈○D₄	160	2	(C5xC8oD4).5C2	320,155
(C₅×C₈○D₄).₆C₂ = C₅×D₄○C₁₆	φ: trivial image	160	2	(C5xC8oD4).6C2	320,1005

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