Extensions 1→N→G→Q→1 with N=Dic₄₁ and Q=C₂

Direct product G=N×Q with N=Dic₄₁ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₄₁		328		C2xDic41	328,7

Semidirect products G=N:Q with N=Dic₄₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₄₁⋊C₂ = C₄₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₁	164	2	Dic41:C2	328,8
Dic₄₁⋊₂C₂ = C₄×D₄₁	φ: trivial image	164	2	Dic41:2C2	328,5

Non-split extensions G=N.Q with N=Dic₄₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₄₁.₁C₂ = Dic₈₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₁	328	2-	Dic41.1C2	328,4
Dic₄₁.₂C₂ = C₄₁⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₁	328	4-	Dic41.2C2	328,3

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Extensions 1→N→G→Q→1 with N=Dic41 and Q=C2