Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂xC₆

Direct product G=NxQ with N=D₁₀ and Q=C₂xC₆

		d	ρ	Label	ID
D₅xC₂²xC₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=D₁₀ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀:₁(C₂xC₆) = C₆xD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	120		D10:1(C2xC6)	240,157
D₁₀:₂(C₂xC₆) = C₃xD₄xD₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10:2(C2xC6)	240,159
D₁₀:₃(C₂xC₆) = C₆xC₅:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	120		D10:3(C2xC6)	240,164

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁(C₂xC₆) = C₃xC₄oD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	120	2	D10.1(C2xC6)	240,158
D₁₀.₂(C₂xC₆) = C₃xD₄:₂D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	120	4	D10.2(C2xC6)	240,160
D₁₀.₃(C₂xC₆) = C₃xQ₈:₂D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	120	4	D10.3(C2xC6)	240,162
D₁₀.₄(C₂xC₆) = C₁₂xF₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10.4(C2xC6)	240,113
D₁₀.₅(C₂xC₆) = C₃xC₄:F₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10.5(C2xC6)	240,114
D₁₀.₆(C₂xC₆) = C₃xC₂²:F₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10.6(C2xC6)	240,117
D₁₀.₇(C₂xC₆) = C₂xC₆xF₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₀	60		D10.7(C2xC6)	240,200
D₁₀.₈(C₂xC₆) = D₅xC₂xC₁₂	φ: trivial image	120		D10.8(C2xC6)	240,156
D₁₀.₉(C₂xC₆) = C₃xQ₈xD₅	φ: trivial image	120	4	D10.9(C2xC6)	240,161

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