Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₈

Direct product G=N×Q with N=Dic₅ and Q=C₈

		d	ρ	Label	ID
C₈×Dic₅		160		C8xDic5	160,20

Semidirect products G=N:Q with N=Dic₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁C₈ = C₂₀.₈Q₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5:1C8	160,21
Dic₅⋊₂C₈ = C₄×C₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5:2C8	160,75
Dic₅⋊₃C₈ = Dic₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₅	160		Dic5:3C8	160,79

Non-split extensions G=N.Q with N=Dic₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₈ = C₈₀⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out Dic₅	80	2	Dic5.1C8	160,5
Dic₅.₂C₈ = D₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.2C8	160,64
Dic₅.₃C₈ = C₈.F₅	φ: C₈/C₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.3C8	160,65
Dic₅.₄C₈ = D₅×C₁₆	φ: trivial image	80	2	Dic5.4C8	160,4

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