Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=C₆

Direct product G=N×Q with N=C₂²×D₅ and Q=C₆

		d	ρ	Label	ID
D₅×C₂²×C₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₂²×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊C₆ = C₂×D₅×A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₅	30	6+	(C2^2xD5):C6	240,198
(C₂²×D₅)⋊₂C₆ = C₆×D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):2C6	240,157
(C₂²×D₅)⋊₃C₆ = C₃×D₄×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₅	60	4	(C2^2xD5):3C6	240,159
(C₂²×D₅)⋊₄C₆ = C₆×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):4C6	240,164

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).C₆ = A₄×F₅	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₅	20	12+	(C2^2xD5).C6	240,193
(C₂²×D₅).₂C₆ = C₃×D₁₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5).2C6	240,43
(C₂²×D₅).₃C₆ = C₃×C₂²⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₅	60	4	(C2^2xD5).3C6	240,117
(C₂²×D₅).₄C₆ = C₂×C₆×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₅	60		(C2^2xD5).4C6	240,200
(C₂²×D₅).₅C₆ = D₅×C₂×C₁₂	φ: trivial image	120		(C2^2xD5).5C6	240,156

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