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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁Dic₁₀ = (C₂×C₁₀)⋊₈Dic₆	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₂×C₆	240		(C2xC6):1Dic10	480,651
(C₂×C₆)⋊₂Dic₁₀ = Dic₁₅.₄₈D₄	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₂×C₆	240		(C2xC6):2Dic10	480,652
(C₂×C₆)⋊₃Dic₁₀ = C₂²⋊₂Dic₃₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₂×C₆	240		(C2xC6):3Dic10	480,843
(C₂×C₆)⋊₄Dic₁₀ = C₃×Dic₅.₁₄D₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):4Dic10	480,671
(C₂×C₆)⋊₅Dic₁₀ = (C₂×C₃₀)⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):5Dic10	480,650
(C₂×C₆)⋊₆Dic₁₀ = C₂²×C₁₅⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6):6Dic10	480,1121
(C₂×C₆)⋊₇Dic₁₀ = C₃×C₂₀.₄₈D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):7Dic10	480,717
(C₂×C₆)⋊₈Dic₁₀ = C₆₀.₂₀₅D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):8Dic10	480,889
(C₂×C₆)⋊₉Dic₁₀ = C₂²×Dic₃₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6):9Dic10	480,1165

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁Dic₁₀ = C₆₀.D₄	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₂×C₆	240	4	(C2xC6).1Dic10	480,68
(C₂×C₆).₂Dic₁₀ = C₁₂.₅₉D₂₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₂×C₆	240	4	(C2xC6).2Dic10	480,69
(C₂×C₆).₃Dic₁₀ = C₆₀.₂₁₀D₄	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₂×C₆	240	4	(C2xC6).3Dic10	480,182
(C₂×C₆).₄Dic₁₀ = C₃×C₂₀.₅₃D₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	240	4	(C2xC6).4Dic10	480,100
(C₂×C₆).₅Dic₁₀ = C₆₀.₁₀₅D₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	240	4	(C2xC6).5Dic10	480,67
(C₂×C₆).₆Dic₁₀ = C₃₀.₂₄C₄²	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).6Dic10	480,70
(C₂×C₆).₇Dic₁₀ = C₂×C₃₀.Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).7Dic10	480,617
(C₂×C₆).₈Dic₁₀ = C₂×Dic₁₅⋊₅C₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).8Dic10	480,620
(C₂×C₆).₉Dic₁₀ = C₂×C₆.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).9Dic10	480,621
(C₂×C₆).₁₀Dic₁₀ = C₃×C₄₀.₆C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).10Dic10	480,97
(C₂×C₆).₁₁Dic₁₀ = C₄.₁₈D₆₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).11Dic10	480,179
(C₂×C₆).₁₂Dic₁₀ = C₃₀.₂₉C₄²	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).12Dic10	480,191
(C₂×C₆).₁₃Dic₁₀ = C₂×C₃₀.₄Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).13Dic10	480,888
(C₂×C₆).₁₄Dic₁₀ = C₂×C₆₀⋊₅C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).14Dic10	480,890
(C₂×C₆).₁₅Dic₁₀ = C₃×C₁₀.₁₀C₄²	central extension (φ=1)	480		(C2xC6).15Dic10	480,109
(C₂×C₆).₁₆Dic₁₀ = C₆×C₁₀.D₄	central extension (φ=1)	480		(C2xC6).16Dic10	480,716
(C₂×C₆).₁₇Dic₁₀ = C₆×C₄⋊Dic₅	central extension (φ=1)	480		(C2xC6).17Dic10	480,718

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