Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₈

Direct product G=N×Q with N=Q₈ and Q=D₈

		d	ρ	Label	ID
Q₈×D₈		64		Q8xD8	128,2110

Semidirect products G=N:Q with N=Q₈ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁D₈ = C₈⋊₁₃SD₁₆	φ: D₈/C₈ → C₂ ⊆ Out Q₈	64		Q8:1D8	128,400
Q₈⋊₂D₈ = Q₈⋊D₈	φ: D₈/D₄ → C₂ ⊆ Out Q₈	64		Q8:2D8	128,353
Q₈⋊₃D₈ = Q₈⋊₃D₈	φ: D₈/D₄ → C₂ ⊆ Out Q₈	64		Q8:3D8	128,359
Q₈⋊₄D₈ = Q₈⋊₄D₈	φ: trivial image	64		Q8:4D8	128,2090
Q₈⋊₅D₈ = Q₈⋊₅D₈	φ: trivial image	64		Q8:5D8	128,2123

Non-split extensions G=N.Q with N=Q₈ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₈ = C₈⋊₇Q₁₆	φ: D₈/C₈ → C₂ ⊆ Out Q₈	128		Q8.1D8	128,406
Q₈.₂D₈ = Q₈.₂D₈	φ: D₈/C₈ → C₂ ⊆ Out Q₈	64		Q8.2D8	128,414
Q₈.₃D₈ = D₄.₃D₈	φ: D₈/C₈ → C₂ ⊆ Out Q₈	32	4+	Q8.3D8	128,953
Q₈.₄D₈ = D₄.₄D₈	φ: D₈/C₈ → C₂ ⊆ Out Q₈	64	4-	Q8.4D8	128,954
Q₈.₅D₈ = D₄.₅D₈	φ: D₈/C₈ → C₂ ⊆ Out Q₈	32	4	Q8.5D8	128,955
Q₈.₆D₈ = Q₈.D₈	φ: D₈/D₄ → C₂ ⊆ Out Q₈	64		Q8.6D8	128,373
Q₈.₇D₈ = D₄⋊₄Q₁₆	φ: D₈/D₄ → C₂ ⊆ Out Q₈	64		Q8.7D8	128,381
Q₈.₈D₈ = Q₁₆.₁₀D₄	φ: D₈/D₄ → C₂ ⊆ Out Q₈	32	4+	Q8.8D8	128,924
Q₈.₉D₈ = Q₁₆.D₄	φ: D₈/D₄ → C₂ ⊆ Out Q₈	32	4	Q8.9D8	128,925
Q₈.₁₀D₈ = D₈.₃D₄	φ: D₈/D₄ → C₂ ⊆ Out Q₈	32	4	Q8.10D8	128,926
Q₈.₁₁D₈ = D₈.₁₂D₄	φ: D₈/D₄ → C₂ ⊆ Out Q₈	64	4-	Q8.11D8	128,927
Q₈.₁₂D₈ = D₄○D₁₆	φ: trivial image	32	4+	Q8.12D8	128,2147
Q₈.₁₃D₈ = D₄○SD₃₂	φ: trivial image	32	4	Q8.13D8	128,2148
Q₈.₁₄D₈ = Q₈○D₁₆	φ: trivial image	64	4-	Q8.14D8	128,2149

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