Extensions 1→N→G→Q→1 with N=D₁₆ and Q=C₁₄

Direct product G=N×Q with N=D₁₆ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×D₁₆		224		C14xD16	448,913

Semidirect products G=N:Q with N=D₁₆ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆⋊₁C₁₄ = C₇×D₃₂	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₆	224	2	D16:1C14	448,175
D₁₆⋊₂C₁₄ = C₇×C₁₆⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₆	112	4	D16:2C14	448,917
D₁₆⋊₃C₁₄ = C₇×C₄○D₁₆	φ: trivial image	224	2	D16:3C14	448,916

Non-split extensions G=N.Q with N=D₁₆ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆.C₁₄ = C₇×SD₆₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₆	224	2	D16.C14	448,176

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D16 and Q=C14