Extensions 1→N→G→Q→1 with N=C₁₃×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₁₃×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₄○D₄×C₂₆		208		C4oD4xC26	416,230

Semidirect products G=N:Q with N=C₁₃×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×C₄○D₄)⋊₁C₂ = D₄⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	4+	(C13xC4oD4):1C2	416,170
(C₁₃×C₄○D₄)⋊₂C₂ = C₅₂.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	4	(C13xC4oD4):2C2	416,171
(C₁₃×C₄○D₄)⋊₃C₂ = C₄○D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	4	(C13xC4oD4):3C2	416,222
(C₁₃×C₄○D₄)⋊₄C₂ = D₄⋊₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	4+	(C13xC4oD4):4C2	416,223
(C₁₃×C₄○D₄)⋊₅C₂ = D₄.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	4-	(C13xC4oD4):5C2	416,224
(C₁₃×C₄○D₄)⋊₆C₂ = C₁₃×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	2	(C13xC4oD4):6C2	416,196
(C₁₃×C₄○D₄)⋊₇C₂ = C₁₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	4	(C13xC4oD4):7C2	416,197
(C₁₃×C₄○D₄)⋊₈C₂ = C₁₃×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	4	(C13xC4oD4):8C2	416,231
(C₁₃×C₄○D₄)⋊₉C₂ = C₁₃×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	4	(C13xC4oD4):9C2	416,232

Non-split extensions G=N.Q with N=C₁₃×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×C₄○D₄).₁C₂ = C₅₂.₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	4	(C13xC4oD4).1C2	416,44
(C₁₃×C₄○D₄).₂C₂ = D₄.Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	4	(C13xC4oD4).2C2	416,169
(C₁₃×C₄○D₄).₃C₂ = D₄.₉D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	4-	(C13xC4oD4).3C2	416,172
(C₁₃×C₄○D₄).₄C₂ = C₁₃×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	104	2	(C13xC4oD4).4C2	416,54
(C₁₃×C₄○D₄).₅C₂ = C₁₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₄○D₄	208	4	(C13xC4oD4).5C2	416,198
(C₁₃×C₄○D₄).₆C₂ = C₁₃×C₈○D₄	φ: trivial image	208	2	(C13xC4oD4).6C2	416,192

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