Extensions 1→N→G→Q→1 with N=D₅xC₃xC₆ and Q=C₂

Direct product G=NxQ with N=D₅xC₃xC₆ and Q=C₂

		d	ρ	Label	ID
D₅xC₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=D₅xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₃xC₆):₁C₂ = C₃xC₁₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	60	4	(D5xC3xC6):1C2	360,61
(D₅xC₃xC₆):₂C₂ = C₃xC₃:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	60	4	(D5xC3xC6):2C2	360,62
(D₅xC₃xC₆):₃C₂ = C₃₀.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	180		(D5xC3xC6):3C2	360,68
(D₅xC₃xC₆):₄C₂ = C₃²:₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	180		(D5xC3xC6):4C2	360,69
(D₅xC₃xC₆):₅C₂ = S₃xC₆xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	60	4	(D5xC3xC6):5C2	360,151
(D₅xC₃xC₆):₆C₂ = C₂xD₅xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	90		(D5xC3xC6):6C2	360,152
(D₅xC₃xC₆):₇C₂ = C₃²xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	180		(D5xC3xC6):7C2	360,92
(D₅xC₃xC₆):₈C₂ = C₃²xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	180		(D5xC3xC6):8C2	360,94

Non-split extensions G=N.Q with N=D₅xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₃xC₆).₁C₂ = C₃xD₅xDic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	60	4	(D5xC3xC6).1C2	360,58
(D₅xC₃xC₆).₂C₂ = D₅xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	180		(D5xC3xC6).2C2	360,65
(D₅xC₃xC₆).₃C₂ = C₂xC₃²:₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	90		(D5xC3xC6).3C2	360,147
(D₅xC₃xC₆).₄C₂ = C₆xC₃:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	60	4	(D5xC3xC6).4C2	360,146
(D₅xC₃xC₆).₅C₂ = C₃xC₆xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₃xC₆	90		(D5xC3xC6).5C2	360,145
(D₅xC₃xC₆).₆C₂ = D₅xC₃xC₁₂	φ: trivial image	180		(D5xC3xC6).6C2	360,91

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