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

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

		d	ρ	Label	ID
C₅×Q₈²		320		C5xQ8^2	320,1560

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁Q₈ = Q₈⋊Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅×Q₈	320		(C5xQ8):1Q8	320,418
(C₅×Q₈)⋊₂Q₈ = Dic₅.₉Q₁₆	φ: Q₈/C₂ → C₂² ⊆ Out C₅×Q₈	320		(C5xQ8):2Q8	320,421
(C₅×Q₈)⋊₃Q₈ = C₂₀.₄₈SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):3Q8	320,647
(C₅×Q₈)⋊₄Q₈ = C₂₀.₂₃Q₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):4Q8	320,648
(C₅×Q₈)⋊₅Q₈ = Q₈×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):5Q8	320,1238
(C₅×Q₈)⋊₆Q₈ = Q₈⋊₅Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):6Q8	320,1241
(C₅×Q₈)⋊₇Q₈ = Q₈⋊₆Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):7Q8	320,1242
(C₅×Q₈)⋊₈Q₈ = C₅×Q₈⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):8Q8	320,976
(C₅×Q₈)⋊₉Q₈ = C₅×C₄.Q₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):9Q8	320,978
(C₅×Q₈)⋊₁₀Q₈ = C₅×Q₈⋊₃Q₈	φ: trivial image	320		(C5xQ8):10Q8	320,1559

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).₁Q₈ = Q₈.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅×Q₈	320		(C5xQ8).1Q8	320,423
(C₅×Q₈).₂Q₈ = Q₈.₂Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₅×Q₈	320		(C5xQ8).2Q8	320,426
(C₅×Q₈).₃Q₈ = Q₈.₃Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8).3Q8	320,649
(C₅×Q₈).₄Q₈ = C₅×Q₈.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8).4Q8	320,980

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