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

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

		d	ρ	Label	ID
C₁₃×C₄.D₄		104	4	C13xC4.D4	416,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄.D₄) = Dic₁₃.₄D₄	φ: C₄.D₄/C₂³ → C₄ ⊆ Aut C₁₃	104	4	C13:(C4.D4)	416,88
C₁₃⋊₂(C₄.D₄) = C₅₂.₄₆D₄	φ: C₄.D₄/M₄(2) → C₂ ⊆ Aut C₁₃	104	4+	C13:2(C4.D4)	416,30
C₁₃⋊₃(C₄.D₄) = C₅₂.D₄	φ: C₄.D₄/C₂×D₄ → C₂ ⊆ Aut C₁₃	104	4	C13:3(C4.D4)	416,40

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