Extensions 1→N→G→Q→1 with N=C₂×Dic₁₀ and Q=C₆

Direct product G=N×Q with N=C₂×Dic₁₀ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×Dic₁₀		480		C2xC6xDic10	480,1135

Semidirect products G=N:Q with N=C₂×Dic₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₀)⋊₁C₆ = C₃×C₄.D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):1C6	480,668
(C₂×Dic₁₀)⋊₂C₆ = C₃×Dic₅.₁₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):2C6	480,671
(C₂×Dic₁₀)⋊₃C₆ = C₃×Dic₅.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):3C6	480,678
(C₂×Dic₁₀)⋊₄C₆ = C₃×D₁₀⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):4C6	480,689
(C₂×Dic₁₀)⋊₅C₆ = C₆×C₄₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):5C6	480,695
(C₂×Dic₁₀)⋊₆C₆ = C₃×C₂₀.₄₈D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):6C6	480,717
(C₂×Dic₁₀)⋊₇C₆ = C₃×D₁₀⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):7C6	480,690
(C₂×Dic₁₀)⋊₈C₆ = C₃×C₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240	4	(C2xDic10):8C6	480,702
(C₂×Dic₁₀)⋊₉C₆ = C₆×D₄.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):9C6	480,726
(C₂×Dic₁₀)⋊₁₀C₆ = C₃×C₂₀.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):10C6	480,729
(C₂×Dic₁₀)⋊₁₁C₆ = C₃×D₄.₉D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240	4	(C2xDic10):11C6	480,744
(C₂×Dic₁₀)⋊₁₂C₆ = C₆×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):12C6	480,1140
(C₂×Dic₁₀)⋊₁₃C₆ = C₆×Q₈×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240		(C2xDic10):13C6	480,1142
(C₂×Dic₁₀)⋊₁₄C₆ = C₃×D₄.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240	4	(C2xDic10):14C6	480,1147
(C₂×Dic₁₀)⋊₁₅C₆ = C₆×C₄○D₂₀	φ: trivial image	240		(C2xDic10):15C6	480,1138

Non-split extensions G=N.Q with N=C₂×Dic₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₀).₁C₆ = C₃×C₂₀.₄₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).1C6	480,94
(C₂×Dic₁₀).₂C₆ = C₃×Dic₅.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240	4	(C2xDic10).2C6	480,285
(C₂×Dic₁₀).₃C₆ = C₃×C₂₀⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).3C6	480,662
(C₂×Dic₁₀).₄C₆ = C₃×C₂₀⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).4C6	480,681
(C₂×Dic₁₀).₅C₆ = C₆×Dic₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).5C6	480,698
(C₂×Dic₁₀).₆C₆ = C₃×C₁₀.Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).6C6	480,88
(C₂×Dic₁₀).₇C₆ = C₃×C₄.₁₂D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	240	4	(C2xDic10).7C6	480,102
(C₂×Dic₁₀).₈C₆ = C₃×Dic₅⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).8C6	480,680
(C₂×Dic₁₀).₉C₆ = C₆×C₅⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).9C6	480,736
(C₂×Dic₁₀).₁₀C₆ = C₃×Dic₅⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₁₀	480		(C2xDic10).10C6	480,737
(C₂×Dic₁₀).₁₁C₆ = C₁₂×Dic₁₀	φ: trivial image	480		(C2xDic10).11C6	480,661

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