Extensions 1→N→G→Q→1 with N=D₅xC₁₂ and Q=C₂

Direct product G=NxQ with N=D₅xC₁₂ and Q=C₂

		d	ρ	Label	ID
D₅xC₂xC₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=D₅xC₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₁₂):₁C₂ = D₁₂:₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4-	(D5xC12):1C2	240,133
(D₅xC₁₂):₂C₂ = C₁₂.₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4+	(D5xC12):2C2	240,134
(D₅xC₁₂):₃C₂ = D₅xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4+	(D5xC12):3C2	240,136
(D₅xC₁₂):₄C₂ = D₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12):4C2	240,132
(D₅xC₁₂):₅C₂ = C₄xS₃xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4	(D5xC12):5C2	240,135
(D₅xC₁₂):₆C₂ = C₃xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4	(D5xC12):6C2	240,159
(D₅xC₁₂):₇C₂ = C₃xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12):7C2	240,160
(D₅xC₁₂):₈C₂ = C₃xQ₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12):8C2	240,162
(D₅xC₁₂):₉C₂ = C₃xC₄oD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	2	(D5xC12):9C2	240,158

Non-split extensions G=N.Q with N=D₅xC₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₁₂).₁C₂ = D₅xDic₆	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4-	(D5xC12).1C2	240,125
(D₅xC₁₂).₂C₂ = D₅xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).2C2	240,7
(D₅xC₁₂).₃C₂ = C₂₀.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).3C2	240,10
(D₅xC₁₂).₄C₂ = C₃xQ₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).4C2	240,161
(D₅xC₁₂).₅C₂ = C₁₂.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).5C2	240,119
(D₅xC₁₂).₆C₂ = C₆₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4	(D5xC12).6C2	240,121
(D₅xC₁₂).₇C₂ = C₃xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	2	(D5xC12).7C2	240,34
(D₅xC₁₂).₈C₂ = C₆₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).8C2	240,118
(D₅xC₁₂).₉C₂ = C₄xC₃:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4	(D5xC12).9C2	240,120
(D₅xC₁₂).₁₀C₂ = C₃xC₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).10C2	240,112
(D₅xC₁₂).₁₁C₂ = C₃xC₄:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4	(D5xC12).11C2	240,114
(D₅xC₁₂).₁₂C₂ = C₃xD₅:C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).12C2	240,111
(D₅xC₁₂).₁₃C₂ = C₁₂xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₁₂	60	4	(D5xC12).13C2	240,113
(D₅xC₁₂).₁₄C₂ = D₅xC₂₄	φ: trivial image	120	2	(D5xC12).14C2	240,33

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