Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₄.₁₀D₄

Direct product G=N×Q with N=C₁₃ and Q=C₄.₁₀D₄

		d	ρ	Label	ID
C₁₃×C₄.₁₀D₄		208	4	C13xC4.10D4	416,51

Semidirect products G=N:Q with N=C₁₃ and Q=C₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄.₁₀D₄) = Dic₁₃.D₄	φ: C₄.₁₀D₄/C₂×C₄ → C₄ ⊆ Aut C₁₃	208	4-	C13:(C4.10D4)	416,80
C₁₃⋊₂(C₄.₁₀D₄) = C₄.₁₂D₅₂	φ: C₄.₁₀D₄/M₄(2) → C₂ ⊆ Aut C₁₃	208	4-	C13:2(C4.10D4)	416,31
C₁₃⋊₃(C₄.₁₀D₄) = C₅₂.₁₀D₄	φ: C₄.₁₀D₄/C₂×Q₈ → C₂ ⊆ Aut C₁₃	208	4	C13:3(C4.10D4)	416,43

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