Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₆

Direct product G=N×Q with N=Q₈ and Q=D₂₆

		d	ρ	Label	ID
C₂×Q₈×D₁₃		208		C2xQ8xD13	416,219

Semidirect products G=N:Q with N=Q₈ and Q=D₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁D₂₆ = SD₁₆×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	104	4	Q8:1D26	416,134
Q₈⋊₂D₂₆ = Q₈⋊D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	104	4+	Q8:2D26	416,135
Q₈⋊₃D₂₆ = C₂×Q₈⋊D₁₃	φ: D₂₆/C₂₆ → C₂ ⊆ Out Q₈	208		Q8:3D26	416,162
Q₈⋊₄D₂₆ = D₄⋊D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Out Q₈	104	4+	Q8:4D26	416,170
Q₈⋊₅D₂₆ = C₂×D₅₂⋊C₂	φ: trivial image	208		Q8:5D26	416,220
Q₈⋊₆D₂₆ = C₄○D₄×D₁₃	φ: trivial image	104	4	Q8:6D26	416,222
Q₈⋊₇D₂₆ = D₄⋊₈D₂₆	φ: trivial image	104	4+	Q8:7D26	416,223

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₂₆ = D₄.D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	208	4-	Q8.1D26	416,136
Q₈.₂D₂₆ = D₂₆.₆D₄	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	208	4	Q8.2D26	416,137
Q₈.₃D₂₆ = Q₁₆×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	208	4-	Q8.3D26	416,138
Q₈.₄D₂₆ = Q₁₆⋊D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	208	4	Q8.4D26	416,139
Q₈.₅D₂₆ = D₁₀₄⋊C₂	φ: D₂₆/D₁₃ → C₂ ⊆ Out Q₈	208	4+	Q8.5D26	416,140
Q₈.₆D₂₆ = Q₈.D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Out Q₈	208	4	Q8.6D26	416,163
Q₈.₇D₂₆ = C₂×C₁₃⋊Q₁₆	φ: D₂₆/C₂₆ → C₂ ⊆ Out Q₈	416		Q8.7D26	416,164
Q₈.₈D₂₆ = C₅₂.C₂³	φ: D₂₆/C₂₆ → C₂ ⊆ Out Q₈	208	4	Q8.8D26	416,171
Q₈.₉D₂₆ = D₄.₉D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Out Q₈	208	4-	Q8.9D26	416,172
Q₈.₁₀D₂₆ = Q₈.₁₀D₂₆	φ: trivial image	208	4	Q8.10D26	416,221
Q₈.₁₁D₂₆ = D₄.₁₀D₂₆	φ: trivial image	208	4-	Q8.11D26	416,224

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