Extensions 1→N→G→Q→1 with N=C₄×Dic₅ and Q=C₆

Direct product G=N×Q with N=C₄×Dic₅ and Q=C₆

		d	ρ	Label	ID
Dic₅×C₂×C₁₂		480		Dic5xC2xC12	480,715

Semidirect products G=N:Q with N=C₄×Dic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₅)⋊₁C₆ = C₃×D₂₀⋊₇C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	120	4	(C4xDic5):1C6	480,103
(C₄×Dic₅)⋊₂C₆ = C₃×D₄⋊₂Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	120	4	(C4xDic5):2C6	480,115
(C₄×Dic₅)⋊₃C₆ = C₃×D₂₀⋊₈C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):3C6	480,686
(C₄×Dic₅)⋊₄C₆ = C₃×D₄×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):4C6	480,727
(C₄×Dic₅)⋊₅C₆ = C₃×C₂₀.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):5C6	480,729
(C₄×Dic₅)⋊₆C₆ = C₃×C₂₀⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):6C6	480,733
(C₄×Dic₅)⋊₇C₆ = C₃×C₂₀.₂₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):7C6	480,740
(C₄×Dic₅)⋊₈C₆ = C₃×C₄²⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):8C6	480,665
(C₄×Dic₅)⋊₉C₆ = C₃×C₂³.₁₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):9C6	480,670
(C₄×Dic₅)⋊₁₀C₆ = C₃×C₂³.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):10C6	480,672
(C₄×Dic₅)⋊₁₁C₆ = C₃×Dic₅⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):11C6	480,674
(C₄×Dic₅)⋊₁₂C₆ = C₃×Dic₅.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):12C6	480,678
(C₄×Dic₅)⋊₁₃C₆ = C₃×C₄⋊C₄⋊₇D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):13C6	480,685
(C₄×Dic₅)⋊₁₄C₆ = C₃×C₄⋊C₄⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):14C6	480,691
(C₄×Dic₅)⋊₁₅C₆ = C₃×C₂³.₂₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):15C6	480,719
(C₄×Dic₅)⋊₁₆C₆ = C₁₂×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):16C6	480,721
(C₄×Dic₅)⋊₁₇C₆ = D₅×C₄×C₁₂	φ: trivial image	240		(C4xDic5):17C6	480,664

Non-split extensions G=N.Q with N=C₄×Dic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₅).₁C₆ = C₃×C₂₀⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).1C6	480,681
(C₄×Dic₅).₂C₆ = C₃×C₄.Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).2C6	480,683
(C₄×Dic₅).₃C₆ = C₃×Dic₅⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).3C6	480,737
(C₄×Dic₅).₄C₆ = C₃×Q₈×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).4C6	480,738
(C₄×Dic₅).₅C₆ = C₃×C₂₀.₈Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).5C6	480,92
(C₄×Dic₅).₆C₆ = C₃×C₄₀⋊₈C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).6C6	480,93
(C₄×Dic₅).₇C₆ = C₃×C₁₀.C₄²	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).7C6	480,282
(C₄×Dic₅).₈C₆ = C₃×Dic₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).8C6	480,284
(C₄×Dic₅).₉C₆ = C₁₂×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).9C6	480,661
(C₄×Dic₅).₁₀C₆ = C₃×Dic₅⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).10C6	480,680
(C₄×Dic₅).₁₁C₆ = C₃×Dic₅.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).11C6	480,682
(C₄×Dic₅).₁₂C₆ = C₃×C₂₀⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).12C6	480,281
(C₄×Dic₅).₁₃C₆ = C₁₂×C₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).13C6	480,280
(C₄×Dic₅).₁₄C₆ = Dic₅×C₂₄	φ: trivial image	480		(C4xDic5).14C6	480,91

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