Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=C₂

Direct product G=N×Q with N=Dic₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₁₀		80		C2xDic10	80,35

Semidirect products G=N:Q with N=Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀⋊₁C₂ = C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₀	40	2	Dic10:1C2	80,6
Dic₁₀⋊₂C₂ = D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₀	40	4-	Dic10:2C2	80,16
Dic₁₀⋊₃C₂ = D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₀	40	4-	Dic10:3C2	80,40
Dic₁₀⋊₄C₂ = Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₀	40	4-	Dic10:4C2	80,41
Dic₁₀⋊₅C₂ = C₄○D₂₀	φ: trivial image	40	2	Dic10:5C2	80,38

Non-split extensions G=N.Q with N=Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀.₁C₂ = Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₀	80	2-	Dic10.1C2	80,8
Dic₁₀.₂C₂ = C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₀	80	4-	Dic10.2C2	80,18

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