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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊(C₂×C₆) = C₆×C₂²⋊F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₂×F₅	120		(C2xF5):(C2xC6)	480,1059

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).₁(C₂×C₆) = C₆×C₄⋊F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₂×F₅	120		(C2xF5).1(C2xC6)	480,1051
(C₂×F₅).₂(C₂×C₆) = C₃×D₁₀.C₂³	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₂×F₅	120	4	(C2xF5).2(C2xC6)	480,1052
(C₂×F₅).₃(C₂×C₆) = C₃×D₄×F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₂×F₅	60	8	(C2xF5).3(C2xC6)	480,1054
(C₂×F₅).₄(C₂×C₆) = C₃×Q₈×F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₂×F₅	120	8	(C2xF5).4(C2xC6)	480,1056
(C₂×F₅).₅(C₂×C₆) = F₅×C₂×C₁₂	φ: trivial image	120		(C2xF5).5(C2xC6)	480,1050

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