Extensions 1→N→G→Q→1 with N=Q₈ and Q=SD₁₆

Direct product G=N×Q with N=Q₈ and Q=SD₁₆

		d	ρ	Label	ID
Q₈×SD₁₆		64		Q8xSD16	128,2111

Semidirect products G=N:Q with N=Q₈ and Q=SD₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁SD₁₆ = C₈⋊₁₄SD₁₆	φ: SD₁₆/C₈ → C₂ ⊆ Out Q₈	64		Q8:1SD16	128,398
Q₈⋊₂SD₁₆ = Q₈⋊₂SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Out Q₈	64		Q8:2SD16	128,363
Q₈⋊₃SD₁₆ = Q₈⋊₃SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Out Q₈	64		Q8:3SD16	128,374
Q₈⋊₄SD₁₆ = Q₈⋊₄SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Out Q₈	64		Q8:4SD16	128,383
Q₈⋊₅SD₁₆ = Q₈⋊SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Out Q₈	64		Q8:5SD16	128,355
Q₈⋊₆SD₁₆ = Q₈⋊₆SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Out Q₈	64		Q8:6SD16	128,358
Q₈⋊₇SD₁₆ = Q₈⋊₇SD₁₆	φ: trivial image	64		Q8:7SD16	128,2091
Q₈⋊₈SD₁₆ = Q₈⋊₈SD₁₆	φ: trivial image	64		Q8:8SD16	128,2094
Q₈⋊₉SD₁₆ = Q₈⋊₉SD₁₆	φ: trivial image	64		Q8:9SD16	128,2124

Non-split extensions G=N.Q with N=Q₈ and Q=SD₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁SD₁₆ = C₈⋊₈Q₁₆	φ: SD₁₆/C₈ → C₂ ⊆ Out Q₈	128		Q8.1SD16	128,404
Q₈.₂SD₁₆ = Q₈.₂SD₁₆	φ: SD₁₆/C₈ → C₂ ⊆ Out Q₈	64		Q8.2SD16	128,410
Q₈.₃SD₁₆ = Q₈.₃SD₁₆	φ: SD₁₆/C₈ → C₂ ⊆ Out Q₈	128		Q8.3SD16	128,412
Q₈.₄SD₁₆ = D₄.₃Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Out Q₈	64		Q8.4SD16	128,369
Q₈.₅SD₁₆ = Q₈⋊₃Q₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Out Q₈	128		Q8.5SD16	128,377
Q₈.₆SD₁₆ = Q₈.SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Out Q₈	128		Q8.6SD16	128,385

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁