Extensions 1→N→G→Q→1 with N=Q₃₂ and Q=C₁₄

Direct product G=N×Q with N=Q₃₂ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×Q₃₂		448		C14xQ32	448,915

Semidirect products G=N:Q with N=Q₃₂ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊₁C₁₄ = C₇×SD₆₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₃₂	224	2	Q32:1C14	448,176
Q₃₂⋊₂C₁₄ = C₇×Q₃₂⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out Q₃₂	224	4	Q32:2C14	448,918
Q₃₂⋊₃C₁₄ = C₇×C₄○D₁₆	φ: trivial image	224	2	Q32:3C14	448,916

Non-split extensions G=N.Q with N=Q₃₂ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂.C₁₄ = C₇×Q₆₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₃₂	448	2	Q32.C14	448,177

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q32 and Q=C14