Extensions 1→N→G→Q→1 with N=Dic₅ and Q=Q₈

Direct product G=N×Q with N=Dic₅ and Q=Q₈

		d	ρ	Label	ID
Q₈×Dic₅		160		Q8xDic5	160,166

Semidirect products G=N:Q with N=Dic₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁Q₈ = C₂₀⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5:1Q8	160,109
Dic₅⋊₂Q₈ = Dic₅⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5:2Q8	160,165
Dic₅⋊₃Q₈ = Dic₅⋊₃Q₈	φ: trivial image	160		Dic5:3Q8	160,108

Non-split extensions G=N.Q with N=Dic₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁Q₈ = Dic₅.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5.1Q8	160,110
Dic₅.₂Q₈ = C₄₀⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	40	4	Dic5.2Q8	160,68
Dic₅.₃Q₈ = D₅.D₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	40	4	Dic5.3Q8	160,69
Dic₅.₄Q₈ = C₂₀⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5.4Q8	160,76
Dic₅.₅Q₈ = Dic₅⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5.5Q8	160,79

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