Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=D₅

Direct product G=N×Q with N=C₂×C₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₈		80		D5xC2xC8	160,120

Semidirect products G=N:Q with N=C₂×C₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁D₅ = D₁₀⋊₁C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):1D5	160,27
(C₂×C₈)⋊₂D₅ = D₂₀⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):2D5	160,28
(C₂×C₈)⋊₃D₅ = C₂×D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):3D5	160,124
(C₂×C₈)⋊₄D₅ = D₄₀⋊₇C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8):4D5	160,125
(C₂×C₈)⋊₅D₅ = C₂×C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):5D5	160,123
(C₂×C₈)⋊₆D₅ = C₂×C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):6D5	160,121
(C₂×C₈)⋊₇D₅ = D₂₀.₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8):7D5	160,122

Non-split extensions G=N.Q with N=C₂×C₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁D₅ = C₂₀.₈Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).1D5	160,21
(C₂×C₈).₂D₅ = C₂₀.₄₄D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).2D5	160,23
(C₂×C₈).₃D₅ = C₄₀⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).3D5	160,25
(C₂×C₈).₄D₅ = C₂×Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).4D5	160,126
(C₂×C₈).₅D₅ = C₄₀.₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8).5D5	160,26
(C₂×C₈).₆D₅ = C₄₀⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).6D5	160,24
(C₂×C₈).₇D₅ = C₂₀.₄C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8).7D5	160,19
(C₂×C₈).₈D₅ = C₄₀⋊₈C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).8D5	160,22
(C₂×C₈).₉D₅ = C₂×C₅⋊₂C₁₆	central extension (φ=1)	160		(C2xC8).9D5	160,18
(C₂×C₈).₁₀D₅ = C₈×Dic₅	central extension (φ=1)	160		(C2xC8).10D5	160,20

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