Extensions 1→N→G→Q→1 with N=C₈×D₁₃ and Q=C₂

Direct product G=N×Q with N=C₈×D₁₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₈×D₁₃		208		C2xC8xD13	416,120

Semidirect products G=N:Q with N=C₈×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₁₃)⋊₁C₂ = D₈×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4+	(C8xD13):1C2	416,131
(C₈×D₁₃)⋊₂C₂ = D₈⋊₃D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4-	(C8xD13):2C2	416,133
(C₈×D₁₃)⋊₃C₂ = D₁₀₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4+	(C8xD13):3C2	416,140
(C₈×D₁₃)⋊₄C₂ = SD₁₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4	(C8xD13):4C2	416,134
(C₈×D₁₃)⋊₅C₂ = D₂₆.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4	(C8xD13):5C2	416,137
(C₈×D₁₃)⋊₆C₂ = D₅₂.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	2	(C8xD13):6C2	416,122
(C₈×D₁₃)⋊₇C₂ = M₄(2)×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4	(C8xD13):7C2	416,127
(C₈×D₁₃)⋊₈C₂ = D₅₂.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4	(C8xD13):8C2	416,128

Non-split extensions G=N.Q with N=C₈×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₁₃).₁C₂ = Q₁₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4-	(C8xD13).1C2	416,138
(C₈×D₁₃).₂C₂ = C₂₀₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	2	(C8xD13).2C2	416,5
(C₈×D₁₃).₃C₂ = D₁₃.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4	(C8xD13).3C2	416,69
(C₈×D₁₃).₄C₂ = C₁₀₄.₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4	(C8xD13).4C2	416,71
(C₈×D₁₃).₅C₂ = D₂₆.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4	(C8xD13).5C2	416,68
(C₈×D₁₃).₆C₂ = C₁₀₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4	(C8xD13).6C2	416,70
(C₈×D₁₃).₇C₂ = D₁₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4	(C8xD13).7C2	416,64
(C₈×D₁₃).₈C₂ = D₂₆.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	208	4	(C8xD13).8C2	416,65
(C₈×D₁₃).₉C₂ = C₈×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4	(C8xD13).9C2	416,66
(C₈×D₁₃).₁₀C₂ = C₁₀₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₁₃	104	4	(C8xD13).10C2	416,67
(C₈×D₁₃).₁₁C₂ = C₁₆×D₁₃	φ: trivial image	208	2	(C8xD13).11C2	416,4

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