Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=D₁₃

Direct product G=N×Q with N=C₄○D₄ and Q=D₁₃

		d	ρ	Label	ID
C₄○D₄×D₁₃		104	4	C4oD4xD13	416,222

Semidirect products G=N:Q with N=C₄○D₄ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁D₁₃ = D₄⋊D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄○D₄	104	4+	C4oD4:1D13	416,170
C₄○D₄⋊₂D₁₃ = C₅₂.C₂³	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄○D₄	208	4	C4oD4:2D13	416,171
C₄○D₄⋊₃D₁₃ = D₄⋊₈D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄○D₄	104	4+	C4oD4:3D13	416,223
C₄○D₄⋊₄D₁₃ = D₄.₁₀D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄○D₄	208	4-	C4oD4:4D13	416,224

Non-split extensions G=N.Q with N=C₄○D₄ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁D₁₃ = C₅₂.₅₆D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄○D₄	104	4	C4oD4.1D13	416,44
C₄○D₄.₂D₁₃ = D₄.₉D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄○D₄	208	4-	C4oD4.2D13	416,172
C₄○D₄.₃D₁₃ = D₄.Dic₁₃	φ: trivial image	208	4	C4oD4.3D13	416,169

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