Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=Dic₃

Direct product G=N×Q with N=C₂×C₁₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊Dic₃ = A₄⋊F₅	φ: Dic₃/C₁ → Dic₃ ⊆ Aut C₂×C₁₀	20	12+	(C2xC10):Dic3	240,192
(C₂×C₁₀)⋊₂Dic₃ = C₅×A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₁₀	60	3	(C2xC10):2Dic3	240,104
(C₂×C₁₀)⋊₃Dic₃ = A₄⋊Dic₅	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₁₀	60	6-	(C2xC10):3Dic3	240,107
(C₂×C₁₀)⋊₄Dic₃ = D₁₀.D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₁₀	60	4	(C2xC10):4Dic3	240,124
(C₂×C₁₀)⋊₅Dic₃ = C₂²×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₁₀	60		(C2xC10):5Dic3	240,201
(C₂×C₁₀)⋊₆Dic₃ = C₅×C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₀	120		(C2xC10):6Dic3	240,64
(C₂×C₁₀)⋊₇Dic₃ = C₃₀.₃₈D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₀	120		(C2xC10):7Dic3	240,80
(C₂×C₁₀)⋊₈Dic₃ = C₂²×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):8Dic3	240,183

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁Dic₃ = C₂×C₁₅⋊C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₁₀	240		(C2xC10).1Dic3	240,122
(C₂×C₁₀).₂Dic₃ = C₁₅⋊₈M₄(2)	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₁₀	120	4	(C2xC10).2Dic3	240,123
(C₂×C₁₀).₃Dic₃ = C₅×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₀	120	2	(C2xC10).3Dic3	240,55
(C₂×C₁₀).₄Dic₃ = C₂×C₁₅⋊₃C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10).4Dic3	240,70
(C₂×C₁₀).₅Dic₃ = C₆₀.₇C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₀	120	2	(C2xC10).5Dic3	240,71
(C₂×C₁₀).₆Dic₃ = C₁₀×C₃⋊C₈	central extension (φ=1)	240		(C2xC10).6Dic3	240,54

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