Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₃⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₁₃⋊C₄

		d	ρ	Label	ID
C₅×C₁₃⋊C₄		65	4	C5xC13:C4	260,5

Semidirect products G=N:Q with N=C₅ and Q=C₁₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₃⋊C₄) = C₁₃⋊F₅	φ: C₁₃⋊C₄/C₁₃ → C₄ ⊆ Aut C₅	65	4+	C5:1(C13:C4)	260,9
C₅⋊₂(C₁₃⋊C₄) = C₆₅⋊₂C₄	φ: C₁₃⋊C₄/C₁₃ → C₄ ⊆ Aut C₅	65	4+	C5:2(C13:C4)	260,10
C₅⋊₃(C₁₃⋊C₄) = C₆₅⋊C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₅	65	4	C5:3(C13:C4)	260,6

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