Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=D₄

Direct product G=N×Q with N=C₂×F₅ and Q=D₄

		d	ρ	Label	ID
C₂×D₄×F₅		40		C2xD4xF5	320,1595

Semidirect products G=N:Q with N=C₂×F₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊₁D₄ = C₂.(D₄×F₅)	φ: D₄/C₄ → C₂ ⊆ Out C₂×F₅	80		(C2xF5):1D4	320,1118
(C₂×F₅)⋊₂D₄ = (C₂×F₅)⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₂×F₅	40		(C2xF5):2D4	320,1117

Non-split extensions G=N.Q with N=C₂×F₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).₁D₄ = C₁₀.(C₄×D₄)	φ: D₄/C₄ → C₂ ⊆ Out C₂×F₅	80		(C2xF5).1D4	320,1038
(C₂×F₅).₂D₄ = C₂₀⋊(C₄⋊C₄)	φ: D₄/C₄ → C₂ ⊆ Out C₂×F₅	80		(C2xF5).2D4	320,1050
(C₂×F₅).₃D₄ = D₁₀⋊(C₄⋊C₄)	φ: D₄/C₂² → C₂ ⊆ Out C₂×F₅	40		(C2xF5).3D4	320,1037
(C₂×F₅).₄D₄ = C₄⋊C₄⋊₅F₅	φ: D₄/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5).4D4	320,1049
(C₂×F₅).₅D₄ = D₄₀⋊C₄	φ: D₄/C₂² → C₂ ⊆ Out C₂×F₅	40	8+	(C2xF5).5D4	320,1069
(C₂×F₅).₆D₄ = SD₁₆⋊F₅	φ: D₄/C₂² → C₂ ⊆ Out C₂×F₅	40	8	(C2xF5).6D4	320,1073
(C₂×F₅).₇D₄ = Dic₂₀⋊C₄	φ: D₄/C₂² → C₂ ⊆ Out C₂×F₅	80	8-	(C2xF5).7D4	320,1077
(C₂×F₅).₈D₄ = C₂²⋊C₄×F₅	φ: trivial image	40		(C2xF5).8D4	320,1036
(C₂×F₅).₉D₄ = C₄⋊C₄×F₅	φ: trivial image	80		(C2xF5).9D4	320,1048
(C₂×F₅).₁₀D₄ = D₈×F₅	φ: trivial image	40	8+	(C2xF5).10D4	320,1068
(C₂×F₅).₁₁D₄ = SD₁₆×F₅	φ: trivial image	40	8	(C2xF5).11D4	320,1072
(C₂×F₅).₁₂D₄ = Q₁₆×F₅	φ: trivial image	80	8-	(C2xF5).12D4	320,1076

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