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

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

		d	ρ	Label	ID
C₂×Dic₁₃		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 = C₄×D₁₃	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

⋊

ℤ

𝔽

○

≀

ℚ

◁

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