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

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

		d	ρ	Label	ID
C₂²×S₃×D₅		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 = D₅×D₁₂	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 = D₅×C₃⋊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 = C₂×C₁₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:5D10	240,145
D₆⋊₆D₁₀ = C₂×C₅⋊D₁₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:6D10	240,147
D₆⋊₇D₁₀ = S₃×C₅⋊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 = S₃×Dic₁₀	φ: trivial image	120	4-	D6.8D10	240,128
D₆.₉D₁₀ = C₄×S₃×D₅	φ: trivial image	60	4	D6.9D10	240,135
D₆.₁₀D₁₀ = S₃×D₂₀	φ: trivial image	60	4+	D6.10D10	240,137
D₆.₁₁D₁₀ = C₂×S₃×Dic₅	φ: trivial image	120		D6.11D10	240,142

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