Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₃×S₃

Direct product G=N×Q with N=D₁₀ and Q=C₃×S₃

		d	ρ	Label	ID
S₃×C₆×D₅		60	4	S3xC6xD5	360,151

Semidirect products G=N:Q with N=D₁₀ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁(C₃×S₃) = C₃×C₁₅⋊D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₀	60	4	D10:1(C3xS3)	360,61
D₁₀⋊₂(C₃×S₃) = C₃×C₃⋊D₂₀	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₀	60	4	D10:2(C3xS3)	360,62

Non-split extensions G=N.Q with N=D₁₀ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.(C₃×S₃) = C₆×C₃⋊F₅	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₀	60	4	D10.(C3xS3)	360,146
D₁₀.₂(C₃×S₃) = C₃×D₅×Dic₃	φ: trivial image	60	4	D10.2(C3xS3)	360,58

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Extensions 1→N→G→Q→1 with N=D10 and Q=C3×S3