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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆⋊₁Q₈ = D₂₆⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	208		D26:1Q8	416,117
D₂₆⋊₂Q₈ = D₂₆⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	208		D26:2Q8	416,118
D₂₆⋊₃Q₈ = D₂₆⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	208		D26:3Q8	416,167

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆.₁Q₈ = C₁₀₄.C₄	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	208	4	D26.1Q8	416,70
D₂₆.₂Q₈ = C₁₀₄.₁C₄	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	208	4	D26.2Q8	416,71
D₂₆.₃Q₈ = D₂₆.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	104		D26.3Q8	416,81
D₂₆.₄Q₈ = C₂×C₅₂⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out D₂₆	104		D26.4Q8	416,203
D₂₆.₅Q₈ = C₄⋊C₄×D₁₃	φ: trivial image	208		D26.5Q8	416,112

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