Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=D₁₃

Direct product G=N×Q with N=Q₁₆ and Q=D₁₃

		d	ρ	Label	ID
Q₁₆×D₁₃		208	4-	Q16xD13	416,138

Semidirect products G=N:Q with N=Q₁₆ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁D₁₃ = C₈.₆D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out Q₁₆	208	4+	Q16:1D13	416,35
Q₁₆⋊₂D₁₃ = Q₁₆⋊D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out Q₁₆	208	4	Q16:2D13	416,139
Q₁₆⋊₃D₁₃ = D₁₀₄⋊C₂	φ: trivial image	208	4+	Q16:3D13	416,140

Non-split extensions G=N.Q with N=Q₁₆ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.D₁₃ = C₁₃⋊Q₃₂	φ: D₁₃/C₁₃ → C₂ ⊆ Out Q₁₆	416	4-	Q16.D13	416,36

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q16 and Q=D13