C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=C₅×C₄○D₈ and Q=C₂

Direct product G=N×Q with N=C₅×C₄○D₈ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄○D₈		160		C10xC4oD8	320,1574

Semidirect products G=N:Q with N=C₅×C₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₈)⋊₁C₂ = C₄₀.₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	4	(C5xC4oD8):1C2	320,821
(C₅×C₄○D₈)⋊₂C₂ = D₅×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):2C2	320,1439
(C₅×C₄○D₈)⋊₃C₂ = Q₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):3C2	320,1440
(C₅×C₄○D₈)⋊₄C₂ = D₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4+	(C5xC4oD8):4C2	320,820
(C₅×C₄○D₈)⋊₅C₂ = D₈⋊₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4+	(C5xC4oD8):5C2	320,1441
(C₅×C₄○D₈)⋊₆C₂ = D₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	4-	(C5xC4oD8):6C2	320,1443
(C₅×C₄○D₈)⋊₇C₂ = D₈⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):7C2	320,1442
(C₅×C₄○D₈)⋊₈C₂ = C₅×C₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	2	(C5xC4oD8):8C2	320,1009
(C₅×C₄○D₈)⋊₉C₂ = C₅×C₁₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):9C2	320,1010
(C₅×C₄○D₈)⋊₁₀C₂ = C₅×D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):10C2	320,1577
(C₅×C₄○D₈)⋊₁₁C₂ = C₅×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):11C2	320,1578
(C₅×C₄○D₈)⋊₁₂C₂ = C₅×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8):12C2	320,1579
(C₅×C₄○D₈)⋊₁₃C₂ = C₅×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	4	(C5xC4oD8):13C2	320,1580

Non-split extensions G=N.Q with N=C₅×C₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₈).₁C₂ = C₂₀.₅₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	4	(C5xC4oD8).1C2	320,125
(C₅×C₄○D₈).₂C₂ = D₈⋊₅Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8).2C2	320,823
(C₅×C₄○D₈).₃C₂ = D₈⋊₄Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8).3C2	320,824
(C₅×C₄○D₈).₄C₂ = C₄₀.₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	4-	(C5xC4oD8).4C2	320,822
(C₅×C₄○D₈).₅C₂ = D₈⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8).5C2	320,124
(C₅×C₄○D₈).₆C₂ = C₅×D₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	2	(C5xC4oD8).6C2	320,164
(C₅×C₄○D₈).₇C₂ = C₅×D₈⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8).7C2	320,165
(C₅×C₄○D₈).₈C₂ = C₅×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	80	4	(C5xC4oD8).8C2	320,945
(C₅×C₄○D₈).₉C₂ = C₅×Q₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₈	160	4	(C5xC4oD8).9C2	320,1011
(C₅×C₄○D₈).₁₀C₂ = C₅×C₈○D₈	φ: trivial image	80	2	(C5xC4oD8).10C2	320,944

׿

×

⋊

ℤ

𝔽

○

≀