Extensions 1→N→G→Q→1 with N=C₅×Dic₁₂ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₁₂ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₁₂		480		C10xDic12	480,784

Semidirect products G=N:Q with N=C₅×Dic₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₁₂)⋊₁C₂ = Dic₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4+	(C5xDic12):1C2	480,21
(C₅×Dic₁₂)⋊₂C₂ = D₅×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4-	(C5xDic12):2C2	480,335
(C₅×Dic₁₂)⋊₃C₂ = D₁₂₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4+	(C5xDic12):3C2	480,347
(C₅×Dic₁₂)⋊₄C₂ = C₂₄.₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):4C2	480,337
(C₅×Dic₁₂)⋊₅C₂ = C₄₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):5C2	480,16
(C₅×Dic₁₂)⋊₆C₂ = Dic₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):6C2	480,340
(C₅×Dic₁₂)⋊₇C₂ = D₄₀⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):7C2	480,353
(C₅×Dic₁₂)⋊₈C₂ = D₃₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):8C2	480,354
(C₅×Dic₁₂)⋊₉C₂ = C₅×C₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	2	(C5xDic12):9C2	480,119
(C₅×Dic₁₂)⋊₁₀C₂ = C₅×C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):10C2	480,788
(C₅×Dic₁₂)⋊₁₁C₂ = C₅×D₈.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):11C2	480,146
(C₅×Dic₁₂)⋊₁₂C₂ = C₅×D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):12C2	480,791
(C₅×Dic₁₂)⋊₁₃C₂ = C₅×S₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):13C2	480,796
(C₅×Dic₁₂)⋊₁₄C₂ = C₅×D₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	240	4	(C5xDic12):14C2	480,794
(C₅×Dic₁₂)⋊₁₅C₂ = C₅×C₄○D₂₄	φ: trivial image	240	2	(C5xDic12):15C2	480,783

Non-split extensions G=N.Q with N=C₅×Dic₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₁₂).₁C₂ = C₅⋊Dic₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	480	4-	(C5xDic12).1C2	480,24
(C₅×Dic₁₂).₂C₂ = C₁₅⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	480	4	(C5xDic12).2C2	480,22
(C₅×Dic₁₂).₃C₂ = C₅×Dic₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	480	2	(C5xDic12).3C2	480,120
(C₅×Dic₁₂).₄C₂ = C₅×C₃⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₂	480	4	(C5xDic12).4C2	480,148

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