Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₈

Direct product G=N×Q with N=D₁₀ and Q=C₈

		d	ρ	Label	ID
D₅×C₂×C₈		80		D5xC2xC8	160,120

Semidirect products G=N:Q with N=D₁₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₈ = D₁₀⋊₁C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₀	80		D10:1C8	160,27
D₁₀⋊₂C₈ = D₁₀⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₀	80		D10:2C8	160,78
D₁₀⋊₃C₈ = C₂×D₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₀	80		D10:3C8	160,200

Non-split extensions G=N.Q with N=D₁₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₈ = C₈₀⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out D₁₀	80	2	D10.1C8	160,5
D₁₀.₂C₈ = D₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out D₁₀	80	4	D10.2C8	160,64
D₁₀.₃C₈ = C₈.F₅	φ: C₈/C₄ → C₂ ⊆ Out D₁₀	80	4	D10.3C8	160,65
D₁₀.₄C₈ = D₅×C₁₆	φ: trivial image	80	2	D10.4C8	160,4

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