Extensions 1→N→G→Q→1 with N=D₁₄ and Q=Q₁₆

Direct product G=N×Q with N=D₁₄ and Q=Q₁₆

		d	ρ	Label	ID
C₂×D₇×Q₁₆		224		C2xD7xQ16	448,1216

Semidirect products G=N:Q with N=D₁₄ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁Q₁₆ = D₁₄⋊Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out D₁₄	224		D14:1Q16	448,347
D₁₄⋊₂Q₁₆ = D₁₄⋊₂Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out D₁₄	224		D14:2Q16	448,421
D₁₄⋊₃Q₁₆ = D₁₄⋊₃Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out D₁₄	224		D14:3Q16	448,722
D₁₄⋊₄Q₁₆ = D₁₄⋊₄Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₁₄	224		D14:4Q16	448,342
D₁₄⋊₅Q₁₆ = D₁₄⋊₅Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₁₄	224		D14:5Q16	448,720

Non-split extensions G=N.Q with N=D₁₄ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁Q₁₆ = D₁₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₁₄	224		D14.1Q16	448,343
D₁₄.₂Q₁₆ = D₁₄.₂Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₁₄	224		D14.2Q16	448,418
D₁₄.₃Q₁₆ = D₇×Q₈⋊C₄	φ: trivial image	224		D14.3Q16	448,335
D₁₄.₄Q₁₆ = D₇×C₂.D₈	φ: trivial image	224		D14.4Q16	448,413

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁