Extensions 1→N→G→Q→1 with N=C₈×D₅ and Q=C₂

Direct product G=N×Q with N=C₈×D₅ and Q=C₂

		d	ρ	Label	ID
D₅×C₂×C₈		80		D5xC2xC8	160,120

Semidirect products G=N:Q with N=C₈×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅)⋊₁C₂ = D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4+	(C8xD5):1C2	160,131
(C₈×D₅)⋊₂C₂ = D₈⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4-	(C8xD5):2C2	160,133
(C₈×D₅)⋊₃C₂ = Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4+	(C8xD5):3C2	160,140
(C₈×D₅)⋊₄C₂ = D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4	(C8xD5):4C2	160,134
(C₈×D₅)⋊₅C₂ = SD₁₆⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5):5C2	160,137
(C₈×D₅)⋊₆C₂ = D₂₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	2	(C8xD5):6C2	160,122
(C₈×D₅)⋊₇C₂ = D₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4	(C8xD5):7C2	160,127
(C₈×D₅)⋊₈C₂ = D₂₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5):8C2	160,128

Non-split extensions G=N.Q with N=C₈×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅).₁C₂ = D₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4-	(C8xD5).1C2	160,138
(C₈×D₅).₂C₂ = C₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	2	(C8xD5).2C2	160,5
(C₈×D₅).₃C₂ = D₅.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4	(C8xD5).3C2	160,69
(C₈×D₅).₄C₂ = D₁₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).4C2	160,71
(C₈×D₅).₅C₂ = C₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4	(C8xD5).5C2	160,68
(C₈×D₅).₆C₂ = C₄₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).6C2	160,70
(C₈×D₅).₇C₂ = D₅⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).7C2	160,64
(C₈×D₅).₈C₂ = C₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).8C2	160,65
(C₈×D₅).₉C₂ = C₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4	(C8xD5).9C2	160,66
(C₈×D₅).₁₀C₂ = C₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₅	40	4	(C8xD5).10C2	160,67
(C₈×D₅).₁₁C₂ = D₅×C₁₆	φ: trivial image	80	2	(C8xD5).11C2	160,4

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