Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₂₆

Direct product G=N×Q with N=Q₈ and Q=C₂×C₂₆

		d	ρ	Label	ID
Q₈×C₂×C₂₆		416		Q8xC2xC26	416,229

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×C₂₆) = SD₁₆×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out Q₈	208		Q8:1(C2xC26)	416,194
Q₈⋊₂(C₂×C₂₆) = C₁₃×C₈⋊C₂²	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out Q₈	104	4	Q8:2(C2xC26)	416,197
Q₈⋊₃(C₂×C₂₆) = C₄○D₄×C₂₆	φ: trivial image	208		Q8:3(C2xC26)	416,230
Q₈⋊₄(C₂×C₂₆) = C₁₃×2₊¹⁺⁴	φ: trivial image	104	4	Q8:4(C2xC26)	416,231

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₂₆) = Q₁₆×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out Q₈	416		Q8.1(C2xC26)	416,195
Q₈.₂(C₂×C₂₆) = C₁₃×C₄○D₈	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out Q₈	208	2	Q8.2(C2xC26)	416,196
Q₈.₃(C₂×C₂₆) = C₁₃×C₈.C₂²	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out Q₈	208	4	Q8.3(C2xC26)	416,198
Q₈.₄(C₂×C₂₆) = C₁₃×2_-¹⁺⁴	φ: trivial image	208	4	Q8.4(C2xC26)	416,232

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