Extensions 1→N→G→Q→1 with N=C₄×C₈ and Q=D₅

Direct product G=N×Q with N=C₄×C₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₄×C₈		160		D5xC4xC8	320,311

Semidirect products G=N:Q with N=C₄×C₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁D₅ = D₂₀⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):1D5	320,17
(C₄×C₈)⋊₂D₅ = C₄².₂₈₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):2D5	320,312
(C₄×C₈)⋊₃D₅ = C₈×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):3D5	320,313
(C₄×C₈)⋊₄D₅ = C₄².₂₄₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):4D5	320,317
(C₄×C₈)⋊₅D₅ = C₄.₅D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):5D5	320,321
(C₄×C₈)⋊₆D₅ = C₄².₂₆₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):6D5	320,324
(C₄×C₈)⋊₇D₅ = C₄×D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):7D5	320,319
(C₄×C₈)⋊₈D₅ = C₂₀⋊₄D₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):8D5	320,322
(C₄×C₈)⋊₉D₅ = C₈.₈D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):9D5	320,323
(C₄×C₈)⋊₁₀D₅ = D₄₀⋊₁₇C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	80	2	(C4xC8):10D5	320,327
(C₄×C₈)⋊₁₁D₅ = C₄×C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):11D5	320,318
(C₄×C₈)⋊₁₂D₅ = C₈⋊₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):12D5	320,320
(C₄×C₈)⋊₁₃D₅ = C₄×C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):13D5	320,314
(C₄×C₈)⋊₁₄D₅ = C₈⋊₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):14D5	320,315
(C₄×C₈)⋊₁₅D₅ = D₁₀.₅C₄²	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):15D5	320,316

Non-split extensions G=N.Q with N=C₄×C₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁D₅ = C₄².₂₇₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).1D5	320,12
(C₄×C₈).₂D₅ = Dic₁₀⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).2D5	320,14
(C₄×C₈).₃D₅ = C₂₀⋊₃C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).3D5	320,20
(C₄×C₈).₄D₅ = C₈×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).4D5	320,305
(C₄×C₈).₅D₅ = C₂₀.₁₄Q₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).5D5	320,308
(C₄×C₈).₆D₅ = C₄₀⋊₅C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).6D5	320,16
(C₄×C₈).₇D₅ = C₄₀⋊₈Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).7D5	320,309
(C₄×C₈).₈D₅ = C₄×Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).8D5	320,325
(C₄×C₈).₉D₅ = C₂₀⋊₄Q₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).9D5	320,326
(C₄×C₈).₁₀D₅ = C₄₀.₁₃Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).10D5	320,310
(C₄×C₈).₁₁D₅ = C₄₀.₇C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	80	2	(C4xC8).11D5	320,21
(C₄×C₈).₁₂D₅ = C₄₀⋊₆C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).12D5	320,15
(C₄×C₈).₁₃D₅ = C₄₀⋊₉Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).13D5	320,307
(C₄×C₈).₁₄D₅ = C₄₀⋊₈C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).14D5	320,13
(C₄×C₈).₁₅D₅ = C₄₀.₁₀C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).15D5	320,19
(C₄×C₈).₁₆D₅ = C₄₀⋊₁₁Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).16D5	320,306
(C₄×C₈).₁₇D₅ = C₈×C₅⋊₂C₈	central extension (φ=1)	320		(C4xC8).17D5	320,11
(C₄×C₈).₁₈D₅ = C₄×C₅⋊₂C₁₆	central extension (φ=1)	320		(C4xC8).18D5	320,18

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