Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₈

Direct product G=N×Q with N=C₅×Q₈ and Q=C₈

		d	ρ	Label	ID
Q₈×C₄₀		320		Q8xC40	320,946

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁C₈ = Dic₅.₁₂Q₁₆	φ: C₈/C₂ → C₄ ⊆ Out C₅×Q₈	320		(C5xQ8):1C8	320,268
(C₅×Q₈)⋊₂C₈ = Q₈×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₅×Q₈	320		(C5xQ8):2C8	320,1124
(C₅×Q₈)⋊₃C₈ = C₂₀.₂₆Q₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):3C8	320,93
(C₅×Q₈)⋊₄C₈ = Q₈×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):4C8	320,650
(C₅×Q₈)⋊₅C₈ = C₅×Q₈⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8):5C8	320,131

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).₁C₈ = D₄.(C₅⋊C₈)	φ: C₈/C₂ → C₄ ⊆ Out C₅×Q₈	160	8	(C5xQ8).1C8	320,270
(C₅×Q₈).₂C₈ = C₅⋊C₁₆.C₂²	φ: C₈/C₂ → C₄ ⊆ Out C₅×Q₈	160	8	(C5xQ8).2C8	320,1129
(C₅×Q₈).₃C₈ = C₄₀.₉₂D₄	φ: C₈/C₄ → C₂ ⊆ Out C₅×Q₈	160	4	(C5xQ8).3C8	320,119
(C₅×Q₈).₄C₈ = C₄₀.₇₀C₂³	φ: C₈/C₄ → C₂ ⊆ Out C₅×Q₈	160	4	(C5xQ8).4C8	320,767
(C₅×Q₈).₅C₈ = C₅×D₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Q₈	160	2	(C5xQ8).5C8	320,155
(C₅×Q₈).₆C₈ = C₅×D₄○C₁₆	φ: trivial image	160	2	(C5xQ8).6C8	320,1005

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