Extensions 1→N→G→Q→1 with N=C₅xDic₁₂ and Q=C₂

Direct product G=NxQ with N=C₅xDic₁₂ and Q=C₂

		d	ρ	Label	ID
C₁₀xDic₁₂		480		C10xDic12	480,784

Semidirect products G=N:Q with N=C₅xDic₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₁₂):₁C₂ = Dic₁₂:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4+	(C5xDic12):1C2	480,21
(C₅xDic₁₂):₂C₂ = D₅xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4-	(C5xDic12):2C2	480,335
(C₅xDic₁₂):₃C₂ = D₁₂₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4+	(C5xDic12):3C2	480,347
(C₅xDic₁₂):₄C₂ = C₂₄.₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):4C2	480,337
(C₅xDic₁₂):₅C₂ = C₄₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):5C2	480,16
(C₅xDic₁₂):₆C₂ = Dic₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):6C2	480,340
(C₅xDic₁₂):₇C₂ = D₄₀:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):7C2	480,353
(C₅xDic₁₂):₈C₂ = D₃₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):8C2	480,354
(C₅xDic₁₂):₉C₂ = C₅xC₄₈:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	2	(C5xDic12):9C2	480,119
(C₅xDic₁₂):₁₀C₂ = C₅xC₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):10C2	480,788
(C₅xDic₁₂):₁₁C₂ = C₅xD₈.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):11C2	480,146
(C₅xDic₁₂):₁₂C₂ = C₅xD₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):12C2	480,791
(C₅xDic₁₂):₁₃C₂ = C₅xS₃xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):13C2	480,796
(C₅xDic₁₂):₁₄C₂ = C₅xD₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	240	4	(C5xDic12):14C2	480,794
(C₅xDic₁₂):₁₅C₂ = C₅xC₄oD₂₄	φ: trivial image	240	2	(C5xDic12):15C2	480,783

Non-split extensions G=N.Q with N=C₅xDic₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₁₂).₁C₂ = C₅:Dic₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	480	4-	(C5xDic12).1C2	480,24
(C₅xDic₁₂).₂C₂ = C₁₅:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	480	4	(C5xDic12).2C2	480,22
(C₅xDic₁₂).₃C₂ = C₅xDic₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	480	2	(C5xDic12).3C2	480,120
(C₅xDic₁₂).₄C₂ = C₅xC₃:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₂	480	4	(C5xDic12).4C2	480,148

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