Extensions 1→N→G→Q→1 with N=C₃xDic₂₀ and Q=C₂

Direct product G=NxQ with N=C₃xDic₂₀ and Q=C₂

		d	ρ	Label	ID
C₆xDic₂₀		480		C6xDic20	480,698

Semidirect products G=N:Q with N=C₃xDic₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₂₀):₁C₂ = C₂₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4+	(C3xDic20):1C2	480,19
(C₃xDic₂₀):₂C₂ = S₃xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4-	(C3xDic20):2C2	480,338
(C₃xDic₂₀):₃C₂ = D₁₂₀:₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4+	(C3xDic20):3C2	480,351
(C₃xDic₂₀):₄C₂ = Dic₂₀:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):4C2	480,339
(C₃xDic₂₀):₅C₂ = C₃xC₁₆:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	2	(C3xDic20):5C2	480,78
(C₃xDic₂₀):₆C₂ = C₁₅:SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):6C2	480,17
(C₃xDic₂₀):₇C₂ = Dic₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):7C2	480,340
(C₃xDic₂₀):₈C₂ = D₂₄:₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):8C2	480,355
(C₃xDic₂₀):₉C₂ = D₃₀.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):9C2	480,356
(C₃xDic₂₀):₁₀C₂ = C₃xC₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):10C2	480,702
(C₃xDic₂₀):₁₁C₂ = C₃xD₈.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):11C2	480,105
(C₃xDic₂₀):₁₂C₂ = C₃xD₈:₃D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):12C2	480,705
(C₃xDic₂₀):₁₃C₂ = C₃xD₅xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):13C2	480,710
(C₃xDic₂₀):₁₄C₂ = C₃xSD₁₆:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	240	4	(C3xDic20):14C2	480,708
(C₃xDic₂₀):₁₅C₂ = C₃xD₄₀:₇C₂	φ: trivial image	240	2	(C3xDic20):15C2	480,697

Non-split extensions G=N.Q with N=C₃xDic₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₂₀).₁C₂ = C₃:Dic₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	480	4-	(C3xDic20).1C2	480,23
(C₃xDic₂₀).₂C₂ = C₃xDic₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	480	2	(C3xDic20).2C2	480,79
(C₃xDic₂₀).₃C₂ = C₁₅:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	480	4	(C3xDic20).3C2	480,22
(C₃xDic₂₀).₄C₂ = C₃xC₅:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₂₀	480	4	(C3xDic20).4C2	480,107

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