Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=Q₈

Direct product G=N×Q with N=C₅×D₄ and Q=Q₈

		d	ρ	Label	ID
C₅×D₄×Q₈		160		C5xD4xQ8	320,1551

Semidirect products G=N:Q with N=C₅×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁Q₈ = Dic₅.₁₄D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4):1Q8	320,386
(C₅×D₄)⋊₂Q₈ = D₄⋊Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4):2Q8	320,388
(C₅×D₄)⋊₃Q₈ = C₂₀.₅₀D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):3Q8	320,634
(C₅×D₄)⋊₄Q₈ = C₂₀.₃₈SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):4Q8	320,635
(C₅×D₄)⋊₅Q₈ = D₄×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):5Q8	320,1209
(C₅×D₄)⋊₆Q₈ = D₄⋊₅Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):6Q8	320,1211
(C₅×D₄)⋊₇Q₈ = D₄⋊₆Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):7Q8	320,1215
(C₅×D₄)⋊₈Q₈ = C₅×D₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):8Q8	320,975
(C₅×D₄)⋊₉Q₈ = C₅×D₄⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):9Q8	320,977
(C₅×D₄)⋊₁₀Q₈ = C₅×D₄⋊₃Q₈	φ: trivial image	160		(C5xD4):10Q8	320,1556

Non-split extensions G=N.Q with N=C₅×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁Q₈ = D₄.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4).1Q8	320,390
(C₅×D₄).₂Q₈ = D₄.₂Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4).2Q8	320,393
(C₅×D₄).₃Q₈ = D₄.₃Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4).3Q8	320,636
(C₅×D₄).₄Q₈ = C₅×D₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4).4Q8	320,979

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