Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₄≀C₂

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

		d	ρ	Label	ID
C₁₃×C₄≀C₂		104	2	C13xC4wrC2	416,54

Semidirect products G=N:Q with N=C₁₃ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁C₄≀C₂ = Dic₂₆⋊C₄	φ: C₄≀C₂/D₄ → C₄ ⊆ Aut C₁₃	104	8-	C13:1C4wrC2	416,83
C₁₃⋊₂C₄≀C₂ = D₅₂⋊C₄	φ: C₄≀C₂/Q₈ → C₄ ⊆ Aut C₁₃	104	8+	C13:2C4wrC2	416,85
C₁₃⋊₃C₄≀C₂ = D₅₂⋊₄C₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₃	104	2	C13:3C4wrC2	416,12
C₁₃⋊₄C₄≀C₂ = D₅₂⋊₇C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₃	104	4	C13:4C4wrC2	416,32
C₁₃⋊₅C₄≀C₂ = C₅₂.₅₆D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₃	104	4	C13:5C4wrC2	416,44

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