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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₆)⋊₁C₂ = C₂×Q₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):1C2	416,162
(Q₈×C₂₆)⋊₂C₂ = Q₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208	4	(Q8xC26):2C2	416,163
(Q₈×C₂₆)⋊₃C₂ = D₂₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):3C2	416,167
(Q₈×C₂₆)⋊₄C₂ = C₅₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):4C2	416,168
(Q₈×C₂₆)⋊₅C₂ = C₂×Q₈×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):5C2	416,219
(Q₈×C₂₆)⋊₆C₂ = C₂×D₅₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):6C2	416,220
(Q₈×C₂₆)⋊₇C₂ = Q₈.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208	4	(Q8xC26):7C2	416,221
(Q₈×C₂₆)⋊₈C₂ = C₁₃×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):8C2	416,183
(Q₈×C₂₆)⋊₉C₂ = C₁₃×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):9C2	416,185
(Q₈×C₂₆)⋊₁₀C₂ = SD₁₆×C₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208		(Q8xC26):10C2	416,194
(Q₈×C₂₆)⋊₁₁C₂ = C₁₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208	4	(Q8xC26):11C2	416,198
(Q₈×C₂₆)⋊₁₂C₂ = C₁₃×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208	4	(Q8xC26):12C2	416,232
(Q₈×C₂₆)⋊₁₃C₂ = C₄○D₄×C₂₆	φ: trivial image	208		(Q8xC26):13C2	416,230

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₆).₁C₂ = Q₈⋊Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).1C2	416,42
(Q₈×C₂₆).₂C₂ = C₅₂.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208	4	(Q8xC26).2C2	416,43
(Q₈×C₂₆).₃C₂ = C₂×C₁₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).3C2	416,164
(Q₈×C₂₆).₄C₂ = Dic₁₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).4C2	416,165
(Q₈×C₂₆).₅C₂ = Q₈×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).5C2	416,166
(Q₈×C₂₆).₆C₂ = C₁₃×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	208	4	(Q8xC26).6C2	416,51
(Q₈×C₂₆).₇C₂ = C₁₃×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).7C2	416,53
(Q₈×C₂₆).₈C₂ = C₁₃×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).8C2	416,189
(Q₈×C₂₆).₉C₂ = Q₁₆×C₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₆	416		(Q8xC26).9C2	416,195
(Q₈×C₂₆).₁₀C₂ = Q₈×C₅₂	φ: trivial image	416		(Q8xC26).10C2	416,180

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