Extensions 1→N→G→Q→1 with N=Q₈×D₁₃ and Q=C₂

Direct product G=N×Q with N=Q₈×D₁₃ and Q=C₂

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

Semidirect products G=N:Q with N=Q₈×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₁₃)⋊₁C₂ = SD₁₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	104	4	(Q8xD13):1C2	416,134
(Q₈×D₁₃)⋊₂C₂ = D₄.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	208	4-	(Q8xD13):2C2	416,136
(Q₈×D₁₃)⋊₃C₂ = Q₁₆⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	208	4	(Q8xD13):3C2	416,139
(Q₈×D₁₃)⋊₄C₂ = Q₈.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	208	4	(Q8xD13):4C2	416,221
(Q₈×D₁₃)⋊₅C₂ = D₄.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	208	4-	(Q8xD13):5C2	416,224
(Q₈×D₁₃)⋊₆C₂ = C₄○D₄×D₁₃	φ: trivial image	104	4	(Q8xD13):6C2	416,222

Non-split extensions G=N.Q with N=Q₈×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₁₃).₁C₂ = Q₁₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	208	4-	(Q8xD13).1C2	416,138
(Q₈×D₁₃).₂C₂ = D₁₃.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	104	8-	(Q8xD13).2C2	416,84
(Q₈×D₁₃).₃C₂ = Q₈×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₁₃	104	8-	(Q8xD13).3C2	416,208

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