Extensions 1→N→G→Q→1 with N=C₁₀ and Q=S₃

Direct product G=N×Q with N=C₁₀ and Q=S₃

		d	ρ	Label	ID
S₃×C₁₀		30	2	S3xC10	60,11

Semidirect products G=N:Q with N=C₁₀ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊S₃ = D₃₀	φ: S₃/C₃ → C₂ ⊆ Aut C₁₀	30	2+	C10:S3	60,12

Non-split extensions G=N.Q with N=C₁₀ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.S₃ = Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₁₀	60	2-	C10.S3	60,3
C₁₀.₂S₃ = C₅×Dic₃	central extension (φ=1)	60	2	C10.2S3	60,1

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Extensions 1→N→G→Q→1 with N=C10 and Q=S3