Extensions 1→N→G→Q→1 with N=C₂×C₆×F₅ and Q=C₂

Direct product G=N×Q with N=C₂×C₆×F₅ and Q=C₂

		d	ρ	Label	ID
F₅×C₂²×C₆		120		F5xC2^2xC6	480,1205

Semidirect products G=N:Q with N=C₂×C₆×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₆×F₅)⋊₁C₂ = C₂×D₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5):1C2	480,1000
(C₂×C₆×F₅)⋊₂C₂ = F₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	60	8	(C2xC6xF5):2C2	480,1010
(C₂×C₆×F₅)⋊₃C₂ = C₂²×S₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	60		(C2xC6xF5):3C2	480,1197
(C₂×C₆×F₅)⋊₄C₂ = C₃×D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	60	8	(C2xC6xF5):4C2	480,1054
(C₂×C₆×F₅)⋊₅C₂ = C₆×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5):5C2	480,1059

Non-split extensions G=N.Q with N=C₂×C₆×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₆×F₅).₁C₂ = D₁₀.₂₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5).1C2	480,243
(C₂×C₆×F₅).₂C₂ = C₂×Dic₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5).2C2	480,998
(C₂×C₆×F₅).₃C₂ = C₂×Dic₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5).3C2	480,1001
(C₂×C₆×F₅).₄C₂ = C₃×D₁₀.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5).4C2	480,286
(C₂×C₆×F₅).₅C₂ = C₆×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×F₅	120		(C2xC6xF5).5C2	480,1051
(C₂×C₆×F₅).₆C₂ = F₅×C₂×C₁₂	φ: trivial image	120		(C2xC6xF5).6C2	480,1050

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