Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₂

Direct product G=NxQ with N=Dic₁₃ and Q=C₂

		d	ρ	Label	ID
C₂xDic₁₃		104		C2xDic13	104,7

Semidirect products G=N:Q with N=Dic₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃:C₂ = C₁₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₃	52	2	Dic13:C2	104,8
Dic₁₃:₂C₂ = C₄xD₁₃	φ: trivial image	52	2	Dic13:2C2	104,5

Non-split extensions G=N.Q with N=Dic₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁C₂ = Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₃	104	2-	Dic13.1C2	104,4
Dic₁₃.₂C₂ = C₁₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₃	104	4-	Dic13.2C2	104,3

Extensions 1→N→G→Q→1 with N=Dic13 and Q=C2