Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₁₃

Direct product G=N×Q with N=C₁₀ and Q=D₁₃

		d	ρ	Label	ID
C₁₀×D₁₃		130	2	C10xD13	260,12

Semidirect products G=N:Q with N=C₁₀ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊D₁₃ = D₁₃₀	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₀	130	2+	C10:D13	260,14

Non-split extensions G=N.Q with N=C₁₀ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.D₁₃ = Dic₆₅	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₀	260	2-	C10.D13	260,3
C₁₀.₂D₁₃ = C₅×Dic₁₃	central extension (φ=1)	260	2	C10.2D13	260,2

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Extensions 1→N→G→Q→1 with N=C10 and Q=D13