Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=Dic₅

Direct product G=NxQ with N=C₂xC₁₀ and Q=Dic₅

		d	ρ	Label	ID
Dic₅xC₂xC₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):₁Dic₅ = D₁₀.D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10):1Dic5	400,148
(C₂xC₁₀):₂Dic₅ = C₂²xD₅.D₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10):2Dic5	400,215
(C₂xC₁₀):₃Dic₅ = C₅xC₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10):3Dic5	400,91
(C₂xC₁₀):₄Dic₅ = C₁₀²:₁₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200		(C2xC10):4Dic5	400,107
(C₂xC₁₀):₅Dic₅ = C₂²xC₅²:₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	400		(C2xC10):5Dic5	400,199

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁Dic₅ = C₂xC₅²:₃C₈	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).1Dic5	400,146
(C₂xC₁₀).₂Dic₅ = C₁₀².C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).2Dic5	400,147
(C₂xC₁₀).₃Dic₅ = C₅xC₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	40	2	(C2xC10).3Dic5	400,82
(C₂xC₁₀).₄Dic₅ = C₂xC₂₅:₂C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	400		(C2xC10).4Dic5	400,9
(C₂xC₁₀).₅Dic₅ = C₄.Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200	2	(C2xC10).5Dic5	400,10
(C₂xC₁₀).₆Dic₅ = C₂³.D₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200		(C2xC10).6Dic5	400,19
(C₂xC₁₀).₇Dic₅ = C₂²xDic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	400		(C2xC10).7Dic5	400,43
(C₂xC₁₀).₈Dic₅ = C₂xC₅²:₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	400		(C2xC10).8Dic5	400,97
(C₂xC₁₀).₉Dic₅ = C₂₀.₅₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₁₀	200		(C2xC10).9Dic5	400,98
(C₂xC₁₀).₁₀Dic₅ = C₁₀xC₅:₂C₈	central extension (φ=1)	80		(C2xC10).10Dic5	400,81

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