Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂

Direct product G=N×Q with N=Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅		40		C2xDic5	40,7

Semidirect products G=N:Q with N=Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊C₂ = C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅	20	2	Dic5:C2	40,8
Dic₅⋊₂C₂ = C₄×D₅	φ: trivial image	20	2	Dic5:2C2	40,5

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₂ = Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅	40	2-	Dic5.1C2	40,4
Dic₅.₂C₂ = C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₅	40	4-	Dic5.2C2	40,3

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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2