Extensions 1→N→G→Q→1 with N=C₂²xD₅ and Q=C₆

Direct product G=NxQ with N=C₂²xD₅ and Q=C₆

		d	ρ	Label	ID
D₅xC₂²xC₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₂²xD₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₅):C₆ = C₂xD₅xA₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²xD₅	30	6+	(C2^2xD5):C6	240,198
(C₂²xD₅):₂C₆ = C₆xD₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₅	120		(C2^2xD5):2C6	240,157
(C₂²xD₅):₃C₆ = C₃xD₄xD₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₅	60	4	(C2^2xD5):3C6	240,159
(C₂²xD₅):₄C₆ = C₆xC₅:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₅	120		(C2^2xD5):4C6	240,164

Non-split extensions G=N.Q with N=C₂²xD₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₅).C₆ = A₄xF₅	φ: C₆/C₁ → C₆ ⊆ Out C₂²xD₅	20	12+	(C2^2xD5).C6	240,193
(C₂²xD₅).₂C₆ = C₃xD₁₀:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₅	120		(C2^2xD5).2C6	240,43
(C₂²xD₅).₃C₆ = C₃xC₂²:F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₅	60	4	(C2^2xD5).3C6	240,117
(C₂²xD₅).₄C₆ = C₂xC₆xF₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₅	60		(C2^2xD5).4C6	240,200
(C₂²xD₅).₅C₆ = D₅xC₂xC₁₂	φ: trivial image	120		(C2^2xD5).5C6	240,156

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