Extensions 1→N→G→Q→1 with N=D₅×C₂×C₆ and Q=C₂

Direct product G=N×Q with N=D₅×C₂×C₆ and Q=C₂

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

Semidirect products G=N:Q with N=D₅×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂×C₆)⋊₁C₂ = C₂×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6):1C2	240,145
(D₅×C₂×C₆)⋊₂C₂ = C₂×C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6):2C2	240,146
(D₅×C₂×C₆)⋊₃C₂ = D₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60	4	(D5xC2xC6):3C2	240,149
(D₅×C₂×C₆)⋊₄C₂ = C₂²×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60		(D5xC2xC6):4C2	240,202
(D₅×C₂×C₆)⋊₅C₂ = C₆×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6):5C2	240,157
(D₅×C₂×C₆)⋊₆C₂ = C₃×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60	4	(D5xC2xC6):6C2	240,159
(D₅×C₂×C₆)⋊₇C₂ = C₆×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6):7C2	240,164

Non-split extensions G=N.Q with N=D₅×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂×C₆).₁C₂ = D₁₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6).1C2	240,26
(D₅×C₂×C₆).₂C₂ = C₂×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6).2C2	240,139
(D₅×C₂×C₆).₃C₂ = C₃×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	120		(D5xC2xC6).3C2	240,43
(D₅×C₂×C₆).₄C₂ = D₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60	4	(D5xC2xC6).4C2	240,124
(D₅×C₂×C₆).₅C₂ = C₂²×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60		(D5xC2xC6).5C2	240,201
(D₅×C₂×C₆).₆C₂ = C₃×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60	4	(D5xC2xC6).6C2	240,117
(D₅×C₂×C₆).₇C₂ = C₂×C₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₆	60		(D5xC2xC6).7C2	240,200
(D₅×C₂×C₆).₈C₂ = D₅×C₂×C₁₂	φ: trivial image	120		(D5xC2xC6).8C2	240,156

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