Extensions 1→N→G→Q→1 with N=D₅xC₂xC₆ and Q=C₂

Direct product G=NxQ with N=D₅xC₂xC₆ and Q=C₂

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

Semidirect products G=N:Q with N=D₅xC₂xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂xC₆):₁C₂ = C₂xC₁₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6):1C2	240,145
(D₅xC₂xC₆):₂C₂ = C₂xC₃:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6):2C2	240,146
(D₅xC₂xC₆):₃C₂ = D₅xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60	4	(D5xC2xC6):3C2	240,149
(D₅xC₂xC₆):₄C₂ = C₂²xS₃xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60		(D5xC2xC6):4C2	240,202
(D₅xC₂xC₆):₅C₂ = C₆xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6):5C2	240,157
(D₅xC₂xC₆):₆C₂ = C₃xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60	4	(D5xC2xC6):6C2	240,159
(D₅xC₂xC₆):₇C₂ = C₆xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6):7C2	240,164

Non-split extensions G=N.Q with N=D₅xC₂xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂xC₆).₁C₂ = D₁₀:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6).1C2	240,26
(D₅xC₂xC₆).₂C₂ = C₂xD₅xDic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6).2C2	240,139
(D₅xC₂xC₆).₃C₂ = C₃xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	120		(D5xC2xC6).3C2	240,43
(D₅xC₂xC₆).₄C₂ = D₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60	4	(D5xC2xC6).4C2	240,124
(D₅xC₂xC₆).₅C₂ = C₂²xC₃:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60		(D5xC2xC6).5C2	240,201
(D₅xC₂xC₆).₆C₂ = C₃xC₂²:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60	4	(D5xC2xC6).6C2	240,117
(D₅xC₂xC₆).₇C₂ = C₂xC₆xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₆	60		(D5xC2xC6).7C2	240,200
(D₅xC₂xC₆).₈C₂ = D₅xC₂xC₁₂	φ: trivial image	120		(D5xC2xC6).8C2	240,156

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