Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=Dic₅

Direct product G=N×Q with N=C₂×C₁₀ and Q=Dic₅

		d	ρ	Label	ID
Dic₅×C₂×C₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁Dic₅ = D₁₀.D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₁₀	40	4	(C2xC10):1Dic5	400,148
(C₂×C₁₀)⋊₂Dic₅ = C₂²×D₅.D₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₁₀	80		(C2xC10):2Dic5	400,215
(C₂×C₁₀)⋊₃Dic₅ = C₅×C₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10):3Dic5	400,91
(C₂×C₁₀)⋊₄Dic₅ = C₁₀²⋊₁₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10):4Dic5	400,107
(C₂×C₁₀)⋊₅Dic₅ = C₂²×C₅²⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10):5Dic5	400,199

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁Dic₅ = C₂×C₅²⋊₃C₈	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₁₀	80		(C2xC10).1Dic5	400,146
(C₂×C₁₀).₂Dic₅ = C₁₀².C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₁₀	40	4	(C2xC10).2Dic5	400,147
(C₂×C₁₀).₃Dic₅ = C₅×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	40	2	(C2xC10).3Dic5	400,82
(C₂×C₁₀).₄Dic₅ = C₂×C₂₅⋊₂C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).4Dic5	400,9
(C₂×C₁₀).₅Dic₅ = C₄.Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200	2	(C2xC10).5Dic5	400,10
(C₂×C₁₀).₆Dic₅ = C₂³.D₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).6Dic5	400,19
(C₂×C₁₀).₇Dic₅ = C₂²×Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).7Dic5	400,43
(C₂×C₁₀).₈Dic₅ = C₂×C₅²⋊₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).8Dic5	400,97
(C₂×C₁₀).₉Dic₅ = C₂₀.₅₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).9Dic5	400,98
(C₂×C₁₀).₁₀Dic₅ = C₁₀×C₅⋊₂C₈	central extension (φ=1)	80		(C2xC10).10Dic5	400,81

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