Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₃×C₆

Direct product G=N×Q with N=D₁₀ and Q=C₃×C₆

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=D₁₀ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁(C₃×C₆) = C₃²×D₂₀	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₀	180		D10:1(C3xC6)	360,92
D₁₀⋊₂(C₃×C₆) = C₃²×C₅⋊D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₀	180		D10:2(C3xC6)	360,94

Non-split extensions G=N.Q with N=D₁₀ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.(C₃×C₆) = C₃×C₆×F₅	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₀	90		D10.(C3xC6)	360,145
D₁₀.₂(C₃×C₆) = D₅×C₃×C₁₂	φ: trivial image	180		D10.2(C3xC6)	360,91

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Extensions 1→N→G→Q→1 with N=D10 and Q=C3×C6