Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=Dic₆

Direct product G=NxQ with N=C₂xC₁₀ and Q=Dic₆

		d	ρ	Label	ID
C₂xC₁₀xDic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):Dic₆ = A₄:Dic₁₀	φ: Dic₆/C₂ → D₆ ⊆ Aut C₂xC₁₀	120	6-	(C2xC10):Dic6	480,975
(C₂xC₁₀):₂Dic₆ = C₅xA₄:Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂xC₁₀	120	6	(C2xC10):2Dic6	480,1013
(C₂xC₁₀):₃Dic₆ = C₂₀.₁S₄	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂xC₁₀	120	6-	(C2xC10):3Dic6	480,1024
(C₂xC₁₀):₄Dic₆ = (C₂xC₃₀):Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂xC₁₀	240		(C2xC10):4Dic6	480,650
(C₂xC₁₀):₅Dic₆ = Dic₁₅.₄₈D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂xC₁₀	240		(C2xC10):5Dic6	480,652
(C₂xC₁₀):₆Dic₆ = C₂²:₂Dic₃₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂xC₁₀	240		(C2xC10):6Dic6	480,843
(C₂xC₁₀):₇Dic₆ = C₅xDic₃.D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):7Dic6	480,757
(C₂xC₁₀):₈Dic₆ = (C₂xC₁₀):₈Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):8Dic6	480,651
(C₂xC₁₀):₉Dic₆ = C₂²xC₁₅:Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10):9Dic6	480,1121
(C₂xC₁₀):₁₀Dic₆ = C₅xC₁₂.₄₈D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):10Dic6	480,803
(C₂xC₁₀):₁₁Dic₆ = C₆₀.₂₀₅D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):11Dic6	480,889
(C₂xC₁₀):₁₂Dic₆ = C₂²xDic₃₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10):12Dic6	480,1165

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁Dic₆ = C₆₀.₁₀₅D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂xC₁₀	240	4	(C2xC10).1Dic6	480,67
(C₂xC₁₀).₂Dic₆ = C₆₀.D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂xC₁₀	240	4	(C2xC10).2Dic6	480,68
(C₂xC₁₀).₃Dic₆ = C₆₀.₂₁₀D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂xC₁₀	240	4	(C2xC10).3Dic6	480,182
(C₂xC₁₀).₄Dic₆ = C₅xC₁₂.₅₃D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	240	4	(C2xC10).4Dic6	480,141
(C₂xC₁₀).₅Dic₆ = C₁₂.₅₉D₂₀	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	240	4	(C2xC10).5Dic6	480,69
(C₂xC₁₀).₆Dic₆ = C₃₀.₂₄C₄²	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).6Dic6	480,70
(C₂xC₁₀).₇Dic₆ = C₂xC₃₀.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).7Dic6	480,617
(C₂xC₁₀).₈Dic₆ = C₂xDic₁₅:₅C₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).8Dic6	480,620
(C₂xC₁₀).₉Dic₆ = C₂xC₆.Dic₁₀	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).9Dic6	480,621
(C₂xC₁₀).₁₀Dic₆ = C₅xC₂₄.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240	2	(C2xC10).10Dic6	480,138
(C₂xC₁₀).₁₁Dic₆ = C₄.₁₈D₆₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240	2	(C2xC10).11Dic6	480,179
(C₂xC₁₀).₁₂Dic₆ = C₃₀.₂₉C₄²	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).12Dic6	480,191
(C₂xC₁₀).₁₃Dic₆ = C₂xC₃₀.₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).13Dic6	480,888
(C₂xC₁₀).₁₄Dic₆ = C₂xC₆₀:₅C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).14Dic6	480,890
(C₂xC₁₀).₁₅Dic₆ = C₅xC₆.C₄²	central extension (φ=1)	480		(C2xC10).15Dic6	480,150
(C₂xC₁₀).₁₆Dic₆ = C₁₀xDic₃:C₄	central extension (φ=1)	480		(C2xC10).16Dic6	480,802
(C₂xC₁₀).₁₇Dic₆ = C₁₀xC₄:Dic₃	central extension (φ=1)	480		(C2xC10).17Dic6	480,804

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