Extensions 1→N→G→Q→1 with N=C₂²×F₅ and Q=C₆

Direct product G=N×Q with N=C₂²×F₅ and Q=C₆

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

Semidirect products G=N:Q with N=C₂²×F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₅)⋊C₆ = C₂×A₄×F₅	φ: C₆/C₂ → C₃ ⊆ Out C₂²×F₅	30	12+	(C2^2xF5):C6	480,1192
(C₂²×F₅)⋊₂C₆ = C₃×D₄×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×F₅	60	8	(C2^2xF5):2C6	480,1054
(C₂²×F₅)⋊₃C₆ = C₆×C₂²⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×F₅	120		(C2^2xF5):3C6	480,1059

Non-split extensions G=N.Q with N=C₂²×F₅ and Q=C₆

extension	φ:Q→Out N	d	Label	ID
(C₂²×F₅).₁C₆ = C₃×D₁₀.₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²×F₅	120	(C2^2xF5).1C6	480,286
(C₂²×F₅).₂C₆ = C₆×C₄⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×F₅	120	(C2^2xF5).2C6	480,1051
(C₂²×F₅).₃C₆ = F₅×C₂×C₁₂	φ: trivial image	120	(C2^2xF5).3C6	480,1050

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Extensions 1→N→G→Q→1 with N=C22×F5 and Q=C6