Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₁₃

Direct product G=N×Q with N=C₁₆ and Q=D₁₃

		d	ρ	Label	ID
C₁₆×D₁₃		208	2	C16xD13	416,4

Semidirect products G=N:Q with N=C₁₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁D₁₃ = D₂₀₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₆	208	2+	C16:1D13	416,6
C₁₆⋊₂D₁₃ = C₁₆⋊D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₆	208	2	C16:2D13	416,7
C₁₆⋊₃D₁₃ = C₂₀₈⋊C₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₆	208	2	C16:3D13	416,5

Non-split extensions G=N.Q with N=C₁₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.D₁₃ = Dic₁₀₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₆	416	2-	C16.D13	416,8
C₁₆.₂D₁₃ = C₁₃⋊₂C₃₂	central extension (φ=1)	416	2	C16.2D13	416,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C16 and Q=D13