Extensions 1→N→G→Q→1 with N=C₄×C₃⋊F₅ and Q=C₂

Direct product G=N×Q with N=C₄×C₃⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₃⋊F₅		120		C2xC4xC3:F5	480,1063

Semidirect products G=N:Q with N=C₄×C₃⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₃⋊F₅)⋊₁C₂ = D₁₂⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8-	(C4xC3:F5):1C2	480,231
(C₄×C₃⋊F₅)⋊₂C₂ = D₆₀⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8+	(C4xC3:F5):2C2	480,233
(C₄×C₃⋊F₅)⋊₃C₂ = D₆₀⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	60	8+	(C4xC3:F5):3C2	480,997
(C₄×C₃⋊F₅)⋊₄C₂ = (C₄×S₃)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8	(C4xC3:F5):4C2	480,985
(C₄×C₃⋊F₅)⋊₅C₂ = C₄×S₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	60	8	(C4xC3:F5):5C2	480,994
(C₄×C₃⋊F₅)⋊₆C₂ = Dic₁₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8	(C4xC3:F5):6C2	480,313
(C₄×C₃⋊F₅)⋊₇C₂ = D₂₀⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8	(C4xC3:F5):7C2	480,315
(C₄×C₃⋊F₅)⋊₈C₂ = D₄×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	60	8	(C4xC3:F5):8C2	480,1067
(C₄×C₃⋊F₅)⋊₉C₂ = (C₂×C₁₂)⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	4	(C4xC3:F5):9C2	480,1065

Non-split extensions G=N.Q with N=C₄×C₃⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₃⋊F₅).₁C₂ = Dic₆⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8-	(C4xC3:F5).1C2	480,984
(C₄×C₃⋊F₅).₂C₂ = C₃₀.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8	(C4xC3:F5).2C2	480,224
(C₄×C₃⋊F₅).₃C₂ = C₃₀.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8	(C4xC3:F5).3C2	480,226
(C₄×C₃⋊F₅).₄C₂ = Q₈×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	8	(C4xC3:F5).4C2	480,1069
(C₄×C₃⋊F₅).₅C₂ = C₂₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃⋊F₅	120	4	(C4xC3:F5).5C2	480,297
(C₄×C₃⋊F₅).₆C₂ = C₈×C₃⋊F₅	φ: trivial image	120	4	(C4xC3:F5).6C2	480,296

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