Extensions 1→N→G→Q→1 with N=D₅×Dic₆ and Q=C₂

Direct product G=N×Q with N=D₅×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×Dic₆		240		C2xD5xDic6	480,1073

Semidirect products G=N:Q with N=D₅×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₆)⋊₁C₂ = D₅×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6):1C2	480,559
(D₅×Dic₆)⋊₂C₂ = C₆₀.₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	8-	(D5xDic6):2C2	480,560
(D₅×Dic₆)⋊₃C₂ = D₂₀.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	8-	(D5xDic6):3C2	480,584
(D₅×Dic₆)⋊₄C₂ = C₁₅⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	8-	(D5xDic6):4C2	480,1096
(D₅×Dic₆)⋊₅C₂ = D₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6):5C2	480,1098
(D₅×Dic₆)⋊₆C₂ = D₂₀.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	8-	(D5xDic6):6C2	480,1104
(D₅×Dic₆)⋊₇C₂ = S₃×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6):7C2	480,1107
(D₅×Dic₆)⋊₈C₂ = D₅×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	4	(D5xDic6):8C2	480,323
(D₅×Dic₆)⋊₉C₂ = Dic₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	4-	(D5xDic6):9C2	480,336
(D₅×Dic₆)⋊₁₀C₂ = C₂₄.₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	4	(D5xDic6):10C2	480,337
(D₅×Dic₆)⋊₁₁C₂ = D₂₀.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	4	(D5xDic6):11C2	480,1076
(D₅×Dic₆)⋊₁₂C₂ = D₂₀.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	4-	(D5xDic6):12C2	480,1077
(D₅×Dic₆)⋊₁₃C₂ = D₅×C₄○D₁₂	φ: trivial image	120	4	(D5xDic6):13C2	480,1090

Non-split extensions G=N.Q with N=D₅×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₆).₁C₂ = D₅×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	8-	(D5xDic6).1C2	480,583
(D₅×Dic₆).₂C₂ = D₅×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	240	4-	(D5xDic6).2C2	480,335
(D₅×Dic₆).₃C₂ = Dic₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6).3C2	480,229
(D₅×Dic₆).₄C₂ = Dic₆⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6).4C2	480,984
(D₅×Dic₆).₅C₂ = Dic₃₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6).5C2	480,230
(D₅×Dic₆).₆C₂ = F₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₆	120	8-	(D5xDic6).6C2	480,982

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