Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=Dic₅

Direct product G=N×Q with N=C₂×C₈ and Q=Dic₅

		d	ρ	Label	ID
C₂×C₈×Dic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=C₂×C₈ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁Dic₅ = (C₂×C₄₀)⋊C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8):1Dic5	320,114
(C₂×C₈)⋊₂Dic₅ = C₂³.₉D₂₀	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8):2Dic5	320,115
(C₂×C₈)⋊₃Dic₅ = (C₂×C₄₀)⋊₁₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):3Dic5	320,108
(C₂×C₈)⋊₄Dic₅ = C₂₀.₃₉C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):4Dic5	320,109
(C₂×C₈)⋊₅Dic₅ = C₂×C₄₀⋊₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):5Dic5	320,732
(C₂×C₈)⋊₆Dic₅ = C₂³.₂₂D₂₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8):6Dic5	320,733
(C₂×C₈)⋊₇Dic₅ = C₂×C₄₀⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):7Dic5	320,731
(C₂×C₈)⋊₈Dic₅ = C₂×C₄₀⋊₈C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):8Dic5	320,727
(C₂×C₈)⋊₉Dic₅ = C₂₀.₄₂C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8):9Dic5	320,728

Non-split extensions G=N.Q with N=C₂×C₈ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁Dic₅ = C₂₀.₄₅C₄²	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8).1Dic5	320,24
(C₂×C₈).₂Dic₅ = C₄₀.D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8).2Dic5	320,111
(C₂×C₈).₃Dic₅ = C₂₀.₅₁C₄²	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8).3Dic5	320,118
(C₂×C₈).₄Dic₅ = C₄².₂₇₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).4Dic5	320,12
(C₂×C₈).₅Dic₅ = C₂₀⋊₃C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).5Dic5	320,20
(C₂×C₈).₆Dic₅ = C₄₀.₉₁D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).6Dic5	320,107
(C₂×C₈).₇Dic₅ = C₂₀.₄₀C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).7Dic5	320,110
(C₂×C₈).₈Dic₅ = C₄₀⋊₅C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).8Dic5	320,16
(C₂×C₈).₉Dic₅ = C₄₀.₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8).9Dic5	320,21
(C₂×C₈).₁₀Dic₅ = C₄₀⋊₆C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).10Dic5	320,15
(C₂×C₈).₁₁Dic₅ = C₂×C₄₀.₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).11Dic5	320,734
(C₂×C₈).₁₂Dic₅ = C₄₀⋊₈C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).12Dic5	320,13
(C₂×C₈).₁₃Dic₅ = C₄₀.₁₀C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).13Dic5	320,19
(C₂×C₈).₁₄Dic₅ = C₈₀.₉C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160	2	(C2xC8).14Dic5	320,57
(C₂×C₈).₁₅Dic₅ = C₂×C₂₀.₄C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).15Dic5	320,724
(C₂×C₈).₁₆Dic₅ = C₈×C₅⋊₂C₈	central extension (φ=1)	320		(C2xC8).16Dic5	320,11
(C₂×C₈).₁₇Dic₅ = C₄×C₅⋊₂C₁₆	central extension (φ=1)	320		(C2xC8).17Dic5	320,18
(C₂×C₈).₁₈Dic₅ = C₂×C₅⋊₂C₃₂	central extension (φ=1)	320		(C2xC8).18Dic5	320,56
(C₂×C₈).₁₉Dic₅ = C₂²×C₅⋊₂C₁₆	central extension (φ=1)	320		(C2xC8).19Dic5	320,723

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