Extensions 1→N→G→Q→1 with N=C₂²xC₁₀ and Q=Dic₃

Direct product G=NxQ with N=C₂²xC₁₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂²xC₁₀		480		Dic3xC2^2xC10	480,1163

Semidirect products G=N:Q with N=C₂²xC₁₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₀):Dic₃ = C₂xA₄:F₅	φ: Dic₃/C₁ → Dic₃ ⊆ Aut C₂²xC₁₀	30	12+	(C2^2xC10):Dic3	480,1191
(C₂²xC₁₀):₂Dic₃ = C₁₀xA₄:C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):2Dic3	480,1022
(C₂²xC₁₀):₃Dic₃ = C₂xA₄:Dic₅	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):3Dic3	480,1033
(C₂²xC₁₀):₄Dic₃ = C₅xC₂³.₇D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120	4	(C2^2xC10):4Dic3	480,153
(C₂²xC₁₀):₅Dic₃ = C₂³.₇D₃₀	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120	4	(C2^2xC10):5Dic3	480,194
(C₂²xC₁₀):₆Dic₃ = C₃:(C₂³:F₅)	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120	4	(C2^2xC10):6Dic3	480,316
(C₂²xC₁₀):₇Dic₃ = C₂xD₁₀.D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):7Dic3	480,1072
(C₂²xC₁₀):₈Dic₃ = C₂³xC₃:F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):8Dic3	480,1206
(C₂²xC₁₀):₉Dic₃ = C₁₀xC₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10):9Dic3	480,831
(C₂²xC₁₀):₁₀Dic₃ = C₂xC₃₀.₃₈D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10):10Dic3	480,917
(C₂²xC₁₀):₁₁Dic₃ = C₂³xDic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	480		(C2^2xC10):11Dic3	480,1178

Non-split extensions G=N.Q with N=C₂²xC₁₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₀).Dic₃ = Dic₅.S₄	φ: Dic₃/C₁ → Dic₃ ⊆ Aut C₂²xC₁₀	120	12-	(C2^2xC10).Dic3	480,963
(C₂²xC₁₀).₂Dic₃ = C₅xA₄:C₈	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₁₀	120	3	(C2^2xC10).2Dic3	480,255
(C₂²xC₁₀).₃Dic₃ = C₂₀.S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₁₀	120	6	(C2^2xC10).3Dic3	480,259
(C₂²xC₁₀).₄Dic₃ = C₅xC₁₂.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120	4	(C2^2xC10).4Dic3	480,152
(C₂²xC₁₀).₅Dic₃ = C₆₀.₈D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120	4	(C2^2xC10).5Dic3	480,193
(C₂²xC₁₀).₆Dic₃ = C₃₀.₂₂M₄(2)	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).6Dic3	480,317
(C₂²xC₁₀).₇Dic₃ = C₅:(C₁₂.D₄)	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	120	4	(C2^2xC10).7Dic3	480,318
(C₂²xC₁₀).₈Dic₃ = C₂²xC₁₅:C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	480		(C2^2xC10).8Dic3	480,1070
(C₂²xC₁₀).₉Dic₃ = C₂xC₁₅:₈M₄(2)	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).9Dic3	480,1071
(C₂²xC₁₀).₁₀Dic₃ = C₅xC₁₂.₅₅D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).10Dic3	480,149
(C₂²xC₁₀).₁₁Dic₃ = C₁₀xC₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).11Dic3	480,800
(C₂²xC₁₀).₁₂Dic₃ = C₆₀.₂₁₂D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).12Dic3	480,190
(C₂²xC₁₀).₁₃Dic₃ = C₂²xC₁₅:₃C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	480		(C2^2xC10).13Dic3	480,885
(C₂²xC₁₀).₁₄Dic₃ = C₂xC₆₀.₇C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).14Dic3	480,886
(C₂²xC₁₀).₁₅Dic₃ = C₂xC₁₀xC₃:C₈	central extension (φ=1)	480		(C2^2xC10).15Dic3	480,799

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