Extensions 1→N→G→Q→1 with N=C₅×D₈ and Q=C₄

Direct product G=N×Q with N=C₅×D₈ and Q=C₄

		d	ρ	Label	ID
D₈×C₂₀		160		D8xC20	320,938

Semidirect products G=N:Q with N=C₅×D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₈)⋊₁C₄ = D₁₀.D₈	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	80	8-	(C5xD8):1C4	320,241
(C₅×D₈)⋊₂C₄ = D₄₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	40	8+	(C5xD8):2C4	320,1069
(C₅×D₈)⋊₃C₄ = D₈⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	80	8-	(C5xD8):3C4	320,1071
(C₅×D₈)⋊₄C₄ = D₅.D₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	80	8+	(C5xD8):4C4	320,242
(C₅×D₈)⋊₅C₄ = D₈×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	40	8+	(C5xD8):5C4	320,1068
(C₅×D₈)⋊₆C₄ = D₈⋊₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	80	8-	(C5xD8):6C4	320,1070
(C₅×D₈)⋊₇C₄ = C₁₀.D₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):7C4	320,120
(C₅×D₈)⋊₈C₄ = D₈×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):8C4	320,776
(C₅×D₈)⋊₉C₄ = D₈⋊₅Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):9C4	320,823
(C₅×D₈)⋊₁₀C₄ = D₈⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):10C4	320,124
(C₅×D₈)⋊₁₁C₄ = D₈⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):11C4	320,779
(C₅×D₈)⋊₁₂C₄ = D₈⋊₄Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):12C4	320,824
(C₅×D₈)⋊₁₃C₄ = C₅×C₂.D₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):13C4	320,162
(C₅×D₈)⋊₁₄C₄ = C₅×D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):14C4	320,165
(C₅×D₈)⋊₁₅C₄ = C₅×D₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):15C4	320,943
(C₅×D₈)⋊₁₆C₄ = C₅×C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):16C4	320,945
(C₅×D₈)⋊₁₇C₄ = C₅×C₈○D₈	φ: trivial image	80	2	(C5xD8):17C4	320,944

Non-split extensions G=N.Q with N=C₅×D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₈).₁C₄ = D₄₀.C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	80	8+	(C5xD8).1C4	320,244
(C₅×D₈).₂C₄ = D₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₈	160	8-	(C5xD8).2C4	320,243
(C₅×D₈).₃C₄ = C₂₀.₅₈D₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160	4	(C5xD8).3C4	320,125
(C₅×D₈).₄C₄ = D₈.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8).4C4	320,121
(C₅×D₈).₅C₄ = C₅×D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	160	2	(C5xD8).5C4	320,164
(C₅×D₈).₆C₄ = C₅×M₅(2)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8).6C4	320,166

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁