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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×F₅)⋊₁C₄ = D₁₀.₂₀D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₆×F₅	120		(C6xF5):1C4	480,243
(C₆×F₅)⋊₂C₄ = C₂×Dic₃×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×F₅	120		(C6xF5):2C4	480,998
(C₆×F₅)⋊₃C₄ = C₃×D₁₀.₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×F₅	120		(C6xF5):3C4	480,286

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×F₅).₁C₄ = F₅×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×F₅	120	8	(C6xF5).1C4	480,223
(C₆×F₅).₂C₄ = C₃₀.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₆×F₅	120	8	(C6xF5).2C4	480,225
(C₆×F₅).₃C₄ = C₃×C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×F₅	120	4	(C6xF5).3C4	480,272
(C₆×F₅).₄C₄ = F₅×C₂₄	φ: trivial image	120	4	(C6xF5).4C4	480,271

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