Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₂₀

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₂₀

		d	ρ	Label	ID
Dic₃×C₂×C₂₀		480		Dic3xC2xC20	480,801

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊C₂₀ = C₅×C₂³.₆D₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Dic₃	120	4	(C2xDic3):C20	480,125
(C₂×Dic₃)⋊₂C₂₀ = C₅×C₆.C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3):2C20	480,150
(C₂×Dic₃)⋊₃C₂₀ = C₅×C₂³.₁₆D₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3):3C20	480,756
(C₂×Dic₃)⋊₄C₂₀ = C₁₀×Dic₃⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3):4C20	480,802

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).C₂₀ = C₅×C₁₂.₄₇D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Dic₃	240	4	(C2xDic3).C20	480,143
(C₂×Dic₃).₂C₂₀ = C₅×Dic₃⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).2C20	480,133
(C₂×Dic₃).₃C₂₀ = C₅×C₂₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).3C20	480,134
(C₂×Dic₃).₄C₂₀ = C₅×D₆⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).4C20	480,139
(C₂×Dic₃).₅C₂₀ = C₁₀×C₈⋊S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).5C20	480,779
(C₂×Dic₃).₆C₂₀ = C₅×S₃×M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Dic₃	120	4	(C2xDic3).6C20	480,785
(C₂×Dic₃).₇C₂₀ = Dic₃×C₄₀	φ: trivial image	480		(C2xDic3).7C20	480,132
(C₂×Dic₃).₈C₂₀ = S₃×C₂×C₄₀	φ: trivial image	240		(C2xDic3).8C20	480,778

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