Extensions 1→N→G→Q→1 with N=C₄xDic₅ and Q=C₆

Direct product G=NxQ with N=C₄xDic₅ and Q=C₆

		d	ρ	Label	ID
Dic₅xC₂xC₁₂		480		Dic5xC2xC12	480,715

Semidirect products G=N:Q with N=C₄xDic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xDic₅):₁C₆ = C₃xD₂₀:₇C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	120	4	(C4xDic5):1C6	480,103
(C₄xDic₅):₂C₆ = C₃xD₄:₂Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	120	4	(C4xDic5):2C6	480,115
(C₄xDic₅):₃C₆ = C₃xD₂₀:₈C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):3C6	480,686
(C₄xDic₅):₄C₆ = C₃xD₄xDic₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):4C6	480,727
(C₄xDic₅):₅C₆ = C₃xC₂₀.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):5C6	480,729
(C₄xDic₅):₆C₆ = C₃xC₂₀:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):6C6	480,733
(C₄xDic₅):₇C₆ = C₃xC₂₀.₂₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):7C6	480,740
(C₄xDic₅):₈C₆ = C₃xC₄²:D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):8C6	480,665
(C₄xDic₅):₉C₆ = C₃xC₂³.₁₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):9C6	480,670
(C₄xDic₅):₁₀C₆ = C₃xC₂³.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):10C6	480,672
(C₄xDic₅):₁₁C₆ = C₃xDic₅:₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):11C6	480,674
(C₄xDic₅):₁₂C₆ = C₃xDic₅.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):12C6	480,678
(C₄xDic₅):₁₃C₆ = C₃xC₄:C₄:₇D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):13C6	480,685
(C₄xDic₅):₁₄C₆ = C₃xC₄:C₄:D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):14C6	480,691
(C₄xDic₅):₁₅C₆ = C₃xC₂³.₂₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):15C6	480,719
(C₄xDic₅):₁₆C₆ = C₁₂xC₅:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	240		(C4xDic5):16C6	480,721
(C₄xDic₅):₁₇C₆ = D₅xC₄xC₁₂	φ: trivial image	240		(C4xDic5):17C6	480,664

Non-split extensions G=N.Q with N=C₄xDic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xDic₅).₁C₆ = C₃xC₂₀:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).1C6	480,681
(C₄xDic₅).₂C₆ = C₃xC₄.Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).2C6	480,683
(C₄xDic₅).₃C₆ = C₃xDic₅:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).3C6	480,737
(C₄xDic₅).₄C₆ = C₃xQ₈xDic₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).4C6	480,738
(C₄xDic₅).₅C₆ = C₃xC₂₀.₈Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).5C6	480,92
(C₄xDic₅).₆C₆ = C₃xC₄₀:₈C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).6C6	480,93
(C₄xDic₅).₇C₆ = C₃xC₁₀.C₄²	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).7C6	480,282
(C₄xDic₅).₈C₆ = C₃xDic₅:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).8C6	480,284
(C₄xDic₅).₉C₆ = C₁₂xDic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).9C6	480,661
(C₄xDic₅).₁₀C₆ = C₃xDic₅:₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).10C6	480,680
(C₄xDic₅).₁₁C₆ = C₃xDic₅.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).11C6	480,682
(C₄xDic₅).₁₂C₆ = C₃xC₂₀:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).12C6	480,281
(C₄xDic₅).₁₃C₆ = C₁₂xC₅:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xDic₅	480		(C4xDic5).13C6	480,280
(C₄xDic₅).₁₄C₆ = Dic₅xC₂₄	φ: trivial image	480		(C4xDic5).14C6	480,91

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