Extensions 1→N→G→Q→1 with N=D₁₃ and Q=C₆

Direct product G=N×Q with N=D₁₃ and Q=C₆

		d	ρ	Label	ID
C₆×D₁₃		78	2	C6xD13	156,15

Semidirect products G=N:Q with N=D₁₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃⋊C₆ = C₂×C₁₃⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₁₃	26	6+	D13:C6	156,8

Non-split extensions G=N.Q with N=D₁₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃.C₆ = F₁₃	φ: C₆/C₁ → C₆ ⊆ Out D₁₃	13	12+	D13.C6	156,7
D₁₃.₂C₆ = C₃×C₁₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₃	39	4	D13.2C6	156,9

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D13 and Q=C6