Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₂₀

Direct product G=N×Q with N=C₂×Q₈ and Q=C₂₀

		d	ρ	Label	ID
Q₈×C₂×C₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁C₂₀ = C₅×C₂³.₃₁D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Q₈	80		(C2xQ8):1C20	320,133
(C₂×Q₈)⋊₂C₂₀ = C₅×C₄²⋊₃C₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Q₈	80	4	(C2xQ8):2C20	320,159
(C₂×Q₈)⋊₃C₂₀ = C₅×C₂³.₆₇C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8):3C20	320,892
(C₂×Q₈)⋊₄C₂₀ = C₅×C₂³.C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):4C20	320,911
(C₂×Q₈)⋊₅C₂₀ = C₁₀×Q₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8):5C20	320,916
(C₂×Q₈)⋊₆C₂₀ = C₅×C₂³.₃₈D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8):6C20	320,920
(C₂×Q₈)⋊₇C₂₀ = C₁₀×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):7C20	320,921
(C₂×Q₈)⋊₈C₂₀ = C₅×C₄²⋊C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):8C20	320,922
(C₂×Q₈)⋊₉C₂₀ = C₅×C₂³.₃₂C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8):9C20	320,1521

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₂₀ = C₅×C₄².C₂²	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Q₈	160		(C2xQ8).1C20	320,134
(C₂×Q₈).₂C₂₀ = C₅×C₄.₆Q₁₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Q₈	320		(C2xQ8).2C20	320,138
(C₂×Q₈).₃C₂₀ = C₅×C₄².₃C₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×Q₈	80	4	(C2xQ8).3C20	320,161
(C₂×Q₈).₄C₂₀ = C₅×Q₈⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8).4C20	320,131
(C₂×Q₈).₅C₂₀ = C₅×(C₂²×C₈)⋊C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).5C20	320,909
(C₂×Q₈).₆C₂₀ = C₁₀×C₄.₁₀D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).6C20	320,913
(C₂×Q₈).₇C₂₀ = C₅×C₈⋊₄Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8).7C20	320,947
(C₂×Q₈).₈C₂₀ = C₅×Q₈○M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8).8C20	320,1570
(C₂×Q₈).₉C₂₀ = Q₈×C₄₀	φ: trivial image	320		(C2xQ8).9C20	320,946
(C₂×Q₈).₁₀C₂₀ = C₁₀×C₈○D₄	φ: trivial image	160		(C2xQ8).10C20	320,1569

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