Extensions 1→N→G→Q→1 with N=Q₈ and Q=Q₁₆

Direct product G=N×Q with N=Q₈ and Q=Q₁₆

		d	ρ	Label	ID
Q₈×Q₁₆		128		Q8xQ16	128,2114

Semidirect products G=N:Q with N=Q₈ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁Q₁₆ = Q₈⋊₁Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out Q₈	128		Q8:1Q16	128,402
Q₈⋊₂Q₁₆ = Q₈⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Q₈	128		Q8:2Q16	128,365
Q₈⋊₃Q₁₆ = Q₈⋊₃Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Q₈	128		Q8:3Q16	128,377
Q₈⋊₄Q₁₆ = Q₈⋊₄Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Q₈	128		Q8:4Q16	128,380
Q₈⋊₅Q₁₆ = Q₈⋊₅Q₁₆	φ: trivial image	128		Q8:5Q16	128,2095
Q₈⋊₆Q₁₆ = Q₈⋊₆Q₁₆	φ: trivial image	128		Q8:6Q16	128,2127

Non-split extensions G=N.Q with N=Q₈ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁Q₁₆ = Q₈.₁Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out Q₈	128		Q8.1Q16	128,408
Q₈.₂Q₁₆ = Q₈.₂Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out Q₈	128		Q8.2Q16	128,416
Q₈.₃Q₁₆ = Q₈.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Q₈	128		Q8.3Q16	128,368

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁