Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xC₁₀

Direct product G=NxQ with N=D₆ and Q=C₂xC₁₀

		d	ρ	Label	ID
S₃xC₂²xC₁₀		120		S3xC2^2xC10	240,206

Semidirect products G=N:Q with N=D₆ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂xC₁₀) = C₁₀xD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:1(C2xC10)	240,167
D₆:₂(C₂xC₁₀) = C₅xS₃xD₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₆	60	4	D6:2(C2xC10)	240,169
D₆:₃(C₂xC₁₀) = C₁₀xC₃:D₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:3(C2xC10)	240,174

Non-split extensions G=N.Q with N=D₆ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xC₁₀) = C₅xC₄oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₆	120	2	D6.1(C2xC10)	240,168
D₆.₂(C₂xC₁₀) = C₅xD₄:₂S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4	D6.2(C2xC10)	240,170
D₆.₃(C₂xC₁₀) = C₅xQ₈:₃S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4	D6.3(C2xC10)	240,172
D₆.₄(C₂xC₁₀) = S₃xC₂xC₂₀	φ: trivial image	120		D6.4(C2xC10)	240,166
D₆.₅(C₂xC₁₀) = C₅xS₃xQ₈	φ: trivial image	120	4	D6.5(C2xC10)	240,171

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