Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=C₂×C₁₄

Direct product G=N×Q with N=Q₁₆ and Q=C₂×C₁₄

		d	ρ	Label	ID
Q₁₆×C₂×C₁₄		448		Q16xC2xC14	448,1354

Semidirect products G=N:Q with N=Q₁₆ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁(C₂×C₁₄) = C₁₄×SD₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	224		Q16:1(C2xC14)	448,914
Q₁₆⋊₂(C₂×C₁₄) = C₇×C₁₆⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	112	4	Q16:2(C2xC14)	448,917
Q₁₆⋊₃(C₂×C₁₄) = C₁₄×C₈.C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	224		Q16:3(C2xC14)	448,1357
Q₁₆⋊₄(C₂×C₁₄) = C₇×D₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	112	4	Q16:4(C2xC14)	448,1358
Q₁₆⋊₅(C₂×C₁₄) = C₇×D₄○SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	112	4	Q16:5(C2xC14)	448,1360
Q₁₆⋊₆(C₂×C₁₄) = C₁₄×C₄○D₈	φ: trivial image	224		Q16:6(C2xC14)	448,1355
Q₁₆⋊₇(C₂×C₁₄) = C₇×D₄○D₈	φ: trivial image	112	4	Q16:7(C2xC14)	448,1359

Non-split extensions G=N.Q with N=Q₁₆ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.₁(C₂×C₁₄) = C₁₄×Q₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	448		Q16.1(C2xC14)	448,915
Q₁₆.₂(C₂×C₁₄) = C₇×C₄○D₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	224	2	Q16.2(C2xC14)	448,916
Q₁₆.₃(C₂×C₁₄) = C₇×Q₃₂⋊C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₁₆	224	4	Q16.3(C2xC14)	448,918
Q₁₆.₄(C₂×C₁₄) = C₇×Q₈○D₈	φ: trivial image	224	4	Q16.4(C2xC14)	448,1361

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁