Extensions 1→N→G→Q→1 with N=D₆ and Q=D₁₀

Direct product G=NxQ with N=D₆ and Q=D₁₀

		d	ρ	Label	ID
C₂²xS₃xD₅		60		C2^2xS3xD5	240,202

Semidirect products G=N:Q with N=D₆ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁D₁₀ = D₅xD₁₂	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	60	4+	D6:1D10	240,136
D₆:₂D₁₀ = C₂₀:D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	60	4	D6:2D10	240,138
D₆:₃D₁₀ = D₅xC₃:D₄	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	60	4	D6:3D10	240,149
D₆:₄D₁₀ = D₁₀:D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	60	4+	D6:4D10	240,151
D₆:₅D₁₀ = C₂xC₁₅:D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:5D10	240,145
D₆:₆D₁₀ = C₂xC₅:D₁₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:6D10	240,147
D₆:₇D₁₀ = S₃xC₅:D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	60	4	D6:7D10	240,150

Non-split extensions G=N.Q with N=D₆ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₁₀ = D₁₂:D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	120	4	D6.1D10	240,129
D₆.₂D₁₀ = D₁₂:₅D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	120	4-	D6.2D10	240,133
D₆.₃D₁₀ = C₃₀.C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	120	4-	D6.3D10	240,141
D₆.₄D₁₀ = Dic₃.D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₆	120	4	D6.4D10	240,143
D₆.₅D₁₀ = D₂₀:₅S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4-	D6.5D10	240,126
D₆.₆D₁₀ = D₆₀:C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4+	D6.6D10	240,130
D₆.₇D₁₀ = D₆.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4	D6.7D10	240,132
D₆.₈D₁₀ = S₃xDic₁₀	φ: trivial image	120	4-	D6.8D10	240,128
D₆.₉D₁₀ = C₄xS₃xD₅	φ: trivial image	60	4	D6.9D10	240,135
D₆.₁₀D₁₀ = S₃xD₂₀	φ: trivial image	60	4+	D6.10D10	240,137
D₆.₁₁D₁₀ = C₂xS₃xDic₅	φ: trivial image	120		D6.11D10	240,142

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