Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=Dic₆

Direct product G=N×Q with N=C₂×C₁₀ and Q=Dic₆

		d	ρ	Label	ID
C₂×C₁₀×Dic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊Dic₆ = A₄⋊Dic₁₀	φ: Dic₆/C₂ → D₆ ⊆ Aut C₂×C₁₀	120	6-	(C2xC10):Dic6	480,975
(C₂×C₁₀)⋊₂Dic₆ = C₅×A₄⋊Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂×C₁₀	120	6	(C2xC10):2Dic6	480,1013
(C₂×C₁₀)⋊₃Dic₆ = C₂₀.₁S₄	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂×C₁₀	120	6-	(C2xC10):3Dic6	480,1024
(C₂×C₁₀)⋊₄Dic₆ = (C₂×C₃₀)⋊Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₁₀	240		(C2xC10):4Dic6	480,650
(C₂×C₁₀)⋊₅Dic₆ = Dic₁₅.₄₈D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₁₀	240		(C2xC10):5Dic6	480,652
(C₂×C₁₀)⋊₆Dic₆ = C₂²⋊₂Dic₃₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₁₀	240		(C2xC10):6Dic6	480,843
(C₂×C₁₀)⋊₇Dic₆ = C₅×Dic₃.D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):7Dic6	480,757
(C₂×C₁₀)⋊₈Dic₆ = (C₂×C₁₀)⋊₈Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):8Dic6	480,651
(C₂×C₁₀)⋊₉Dic₆ = C₂²×C₁₅⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10):9Dic6	480,1121
(C₂×C₁₀)⋊₁₀Dic₆ = C₅×C₁₂.₄₈D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):10Dic6	480,803
(C₂×C₁₀)⋊₁₁Dic₆ = C₆₀.₂₀₅D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):11Dic6	480,889
(C₂×C₁₀)⋊₁₂Dic₆ = C₂²×Dic₃₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10):12Dic6	480,1165

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁Dic₆ = C₆₀.₁₀₅D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₁₀	240	4	(C2xC10).1Dic6	480,67
(C₂×C₁₀).₂Dic₆ = C₆₀.D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₁₀	240	4	(C2xC10).2Dic6	480,68
(C₂×C₁₀).₃Dic₆ = C₆₀.₂₁₀D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₁₀	240	4	(C2xC10).3Dic6	480,182
(C₂×C₁₀).₄Dic₆ = C₅×C₁₂.₅₃D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	240	4	(C2xC10).4Dic6	480,141
(C₂×C₁₀).₅Dic₆ = C₁₂.₅₉D₂₀	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	240	4	(C2xC10).5Dic6	480,69
(C₂×C₁₀).₆Dic₆ = C₃₀.₂₄C₄²	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).6Dic6	480,70
(C₂×C₁₀).₇Dic₆ = C₂×C₃₀.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).7Dic6	480,617
(C₂×C₁₀).₈Dic₆ = C₂×Dic₁₅⋊₅C₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).8Dic6	480,620
(C₂×C₁₀).₉Dic₆ = C₂×C₆.Dic₁₀	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).9Dic6	480,621
(C₂×C₁₀).₁₀Dic₆ = C₅×C₂₄.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240	2	(C2xC10).10Dic6	480,138
(C₂×C₁₀).₁₁Dic₆ = C₄.₁₈D₆₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240	2	(C2xC10).11Dic6	480,179
(C₂×C₁₀).₁₂Dic₆ = C₃₀.₂₉C₄²	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).12Dic6	480,191
(C₂×C₁₀).₁₃Dic₆ = C₂×C₃₀.₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).13Dic6	480,888
(C₂×C₁₀).₁₄Dic₆ = C₂×C₆₀⋊₅C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).14Dic6	480,890
(C₂×C₁₀).₁₅Dic₆ = C₅×C₆.C₄²	central extension (φ=1)	480		(C2xC10).15Dic6	480,150
(C₂×C₁₀).₁₆Dic₆ = C₁₀×Dic₃⋊C₄	central extension (φ=1)	480		(C2xC10).16Dic6	480,802
(C₂×C₁₀).₁₇Dic₆ = C₁₀×C₄⋊Dic₃	central extension (φ=1)	480		(C2xC10).17Dic6	480,804

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