Extensions 1→N→G→Q→1 with N=C₄xC₈ and Q=D₅

Direct product G=NxQ with N=C₄xC₈ and Q=D₅

		d	ρ	Label	ID
D₅xC₄xC₈		160		D5xC4xC8	320,311

Semidirect products G=N:Q with N=C₄xC₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₈):₁D₅ = D₂₀:₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):1D5	320,17
(C₄xC₈):₂D₅ = C₄².₂₈₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):2D5	320,312
(C₄xC₈):₃D₅ = C₈xD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):3D5	320,313
(C₄xC₈):₄D₅ = C₄².₂₄₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):4D5	320,317
(C₄xC₈):₅D₅ = C₄.₅D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):5D5	320,321
(C₄xC₈):₆D₅ = C₄².₂₆₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):6D5	320,324
(C₄xC₈):₇D₅ = C₄xD₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):7D5	320,319
(C₄xC₈):₈D₅ = C₂₀:₄D₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):8D5	320,322
(C₄xC₈):₉D₅ = C₈.₈D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):9D5	320,323
(C₄xC₈):₁₀D₅ = D₄₀:₁₇C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	80	2	(C4xC8):10D5	320,327
(C₄xC₈):₁₁D₅ = C₄xC₄₀:C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):11D5	320,318
(C₄xC₈):₁₂D₅ = C₈:₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):12D5	320,320
(C₄xC₈):₁₃D₅ = C₄xC₈:D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):13D5	320,314
(C₄xC₈):₁₄D₅ = C₈:₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):14D5	320,315
(C₄xC₈):₁₅D₅ = D₁₀.₅C₄²	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	160		(C4xC8):15D5	320,316

Non-split extensions G=N.Q with N=C₄xC₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₈).₁D₅ = C₄².₂₇₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).1D5	320,12
(C₄xC₈).₂D₅ = Dic₁₀:₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).2D5	320,14
(C₄xC₈).₃D₅ = C₂₀:₃C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).3D5	320,20
(C₄xC₈).₄D₅ = C₈xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).4D5	320,305
(C₄xC₈).₅D₅ = C₂₀.₁₄Q₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).5D5	320,308
(C₄xC₈).₆D₅ = C₄₀:₅C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).6D5	320,16
(C₄xC₈).₇D₅ = C₄₀:₈Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).7D5	320,309
(C₄xC₈).₈D₅ = C₄xDic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).8D5	320,325
(C₄xC₈).₉D₅ = C₂₀:₄Q₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).9D5	320,326
(C₄xC₈).₁₀D₅ = C₄₀.₁₃Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).10D5	320,310
(C₄xC₈).₁₁D₅ = C₄₀.₇C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	80	2	(C4xC8).11D5	320,21
(C₄xC₈).₁₂D₅ = C₄₀:₆C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).12D5	320,15
(C₄xC₈).₁₃D₅ = C₄₀:₉Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).13D5	320,307
(C₄xC₈).₁₄D₅ = C₄₀:₈C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).14D5	320,13
(C₄xC₈).₁₅D₅ = C₄₀.₁₀C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).15D5	320,19
(C₄xC₈).₁₆D₅ = C₄₀:₁₁Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄xC₈	320		(C4xC8).16D5	320,306
(C₄xC₈).₁₇D₅ = C₈xC₅:₂C₈	central extension (φ=1)	320		(C4xC8).17D5	320,11
(C₄xC₈).₁₈D₅ = C₄xC₅:₂C₁₆	central extension (φ=1)	320		(C4xC8).18D5	320,18

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