Extensions 1→N→G→Q→1 with N=C₄×F₅ and Q=C₆

Direct product G=N×Q with N=C₄×F₅ and Q=C₆

		d	ρ	Label	ID
F₅×C₂×C₁₂		120		F5xC2xC12	480,1050

Semidirect products G=N:Q with N=C₄×F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×F₅)⋊₁C₆ = C₃×D₄⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×F₅	120	8	(C4xF5):1C6	480,288
(C₄×F₅)⋊₂C₆ = C₃×Q₈⋊₂F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×F₅	120	8	(C4xF5):2C6	480,290
(C₄×F₅)⋊₃C₆ = C₃×D₄×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×F₅	60	8	(C4xF5):3C6	480,1054
(C₄×F₅)⋊₄C₆ = C₃×D₁₀.C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×F₅	120	4	(C4xF5):4C6	480,1052

Non-split extensions G=N.Q with N=C₄×F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×F₅).₁C₆ = C₃×Q₈×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×F₅	120	8	(C4xF5).1C6	480,1056
(C₄×F₅).₂C₆ = C₃×C₈⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×F₅	120	4	(C4xF5).2C6	480,272
(C₄×F₅).₃C₆ = F₅×C₂₄	φ: trivial image	120	4	(C4xF5).3C6	480,271

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