Extensions 1→N→G→Q→1 with N=Dic₆₁ and Q=C₂

Direct product G=NxQ with N=Dic₆₁ and Q=C₂

		d	ρ	Label	ID
C₂xDic₆₁		488		C2xDic61	488,7

Semidirect products G=N:Q with N=Dic₆₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆₁:C₂ = C₆₁:D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₁	244	2	Dic61:C2	488,8
Dic₆₁:₂C₂ = C₄xD₆₁	φ: trivial image	244	2	Dic61:2C2	488,5

Non-split extensions G=N.Q with N=Dic₆₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆₁.₁C₂ = Dic₁₂₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₁	488	2-	Dic61.1C2	488,4
Dic₆₁.₂C₂ = C₆₁:C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₁	488	4-	Dic61.2C2	488,3

Extensions 1→N→G→Q→1 with N=Dic61 and Q=C2