Extensions 1→N→G→Q→1 with N=C₈×F₅ and Q=C₂

Direct product G=N×Q with N=C₈×F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₈×F₅		80		C2xC8xF5	320,1054

Semidirect products G=N:Q with N=C₈×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×F₅)⋊₁C₂ = D₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	40	8+	(C8xF5):1C2	320,1068
(C₈×F₅)⋊₂C₂ = D₈⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	8-	(C8xF5):2C2	320,1070
(C₈×F₅)⋊₃C₂ = Q₁₆⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	8+	(C8xF5):3C2	320,1078
(C₈×F₅)⋊₄C₂ = SD₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	40	8	(C8xF5):4C2	320,1072
(C₈×F₅)⋊₅C₂ = SD₁₆⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	8	(C8xF5):5C2	320,1074
(C₈×F₅)⋊₆C₂ = C₂₀.₁₂C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	4	(C8xF5):6C2	320,1056
(C₈×F₅)⋊₇C₂ = M₄(2)×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	40	8	(C8xF5):7C2	320,1064
(C₈×F₅)⋊₈C₂ = M₄(2)⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	8	(C8xF5):8C2	320,1066

Non-split extensions G=N.Q with N=C₈×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×F₅).₁C₂ = Q₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	8-	(C8xF5).1C2	320,1076
(C₈×F₅).₂C₂ = C₁₆⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×F₅	80	4	(C8xF5).2C2	320,182
(C₈×F₅).₃C₂ = C₁₆×F₅	φ: trivial image	80	4	(C8xF5).3C2	320,181

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