Extensions 1→N→G→Q→1 with N=C₂xC₈ and Q=Dic₅

Direct product G=NxQ with N=C₂xC₈ and Q=Dic₅

		d	ρ	Label	ID
C₂xC₈xDic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=C₂xC₈ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈):₁Dic₅ = (C₂xC₄₀):C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8):1Dic5	320,114
(C₂xC₈):₂Dic₅ = C₂³.₉D₂₀	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8):2Dic5	320,115
(C₂xC₈):₃Dic₅ = (C₂xC₄₀):₁₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8):3Dic5	320,108
(C₂xC₈):₄Dic₅ = C₂₀.₃₉C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8):4Dic5	320,109
(C₂xC₈):₅Dic₅ = C₂xC₄₀:₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8):5Dic5	320,732
(C₂xC₈):₆Dic₅ = C₂³.₂₂D₂₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8):6Dic5	320,733
(C₂xC₈):₇Dic₅ = C₂xC₄₀:₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8):7Dic5	320,731
(C₂xC₈):₈Dic₅ = C₂xC₄₀:₈C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8):8Dic5	320,727
(C₂xC₈):₉Dic₅ = C₂₀.₄₂C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8):9Dic5	320,728

Non-split extensions G=N.Q with N=C₂xC₈ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈).₁Dic₅ = C₂₀.₄₅C₄²	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8).1Dic5	320,24
(C₂xC₈).₂Dic₅ = C₄₀.D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8).2Dic5	320,111
(C₂xC₈).₃Dic₅ = C₂₀.₅₁C₄²	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8).3Dic5	320,118
(C₂xC₈).₄Dic₅ = C₄².₂₇₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).4Dic5	320,12
(C₂xC₈).₅Dic₅ = C₂₀:₃C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).5Dic5	320,20
(C₂xC₈).₆Dic₅ = C₄₀.₉₁D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).6Dic5	320,107
(C₂xC₈).₇Dic₅ = C₂₀.₄₀C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).7Dic5	320,110
(C₂xC₈).₈Dic₅ = C₄₀:₅C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).8Dic5	320,16
(C₂xC₈).₉Dic₅ = C₄₀.₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	80	2	(C2xC8).9Dic5	320,21
(C₂xC₈).₁₀Dic₅ = C₄₀:₆C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).10Dic5	320,15
(C₂xC₈).₁₁Dic₅ = C₂xC₄₀.₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).11Dic5	320,734
(C₂xC₈).₁₂Dic₅ = C₄₀:₈C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).12Dic5	320,13
(C₂xC₈).₁₃Dic₅ = C₄₀.₁₀C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).13Dic5	320,19
(C₂xC₈).₁₄Dic₅ = C₈₀.₉C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160	2	(C2xC8).14Dic5	320,57
(C₂xC₈).₁₅Dic₅ = C₂xC₂₀.₄C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).15Dic5	320,724
(C₂xC₈).₁₆Dic₅ = C₈xC₅:₂C₈	central extension (φ=1)	320		(C2xC8).16Dic5	320,11
(C₂xC₈).₁₇Dic₅ = C₄xC₅:₂C₁₆	central extension (φ=1)	320		(C2xC8).17Dic5	320,18
(C₂xC₈).₁₈Dic₅ = C₂xC₅:₂C₃₂	central extension (φ=1)	320		(C2xC8).18Dic5	320,56
(C₂xC₈).₁₉Dic₅ = C₂²xC₅:₂C₁₆	central extension (φ=1)	320		(C2xC8).19Dic5	320,723

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