Extensions 1→N→G→Q→1 with N=D₁₄ and Q=D₆

Direct product G=NxQ with N=D₁₄ and Q=D₆

		d	ρ	Label	ID
C₂²xS₃xD₇		84		C2^2xS3xD7	336,219

Semidirect products G=N:Q with N=D₁₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄:₁D₆ = S₃xD₂₈	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	84	4+	D14:1D6	336,149
D₁₄:₂D₆ = C₂₈:D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	84	4	D14:2D6	336,150
D₁₄:₃D₆ = S₃xC₇:D₄	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	84	4	D14:3D6	336,162
D₁₄:₄D₆ = D₆:D₁₄	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	84	4+	D14:4D6	336,163
D₁₄:₅D₆ = C₂xC₂₁:D₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:5D6	336,157
D₁₄:₆D₆ = C₂xC₃:D₂₈	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:6D6	336,158
D₁₄:₇D₆ = D₇xC₃:D₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	84	4	D14:7D6	336,161

Non-split extensions G=N.Q with N=D₁₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁D₆ = D₂₈:₅S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	168	4-	D14.1D6	336,138
D₁₄.₂D₆ = D₂₈:S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	168	4	D14.2D6	336,139
D₁₄.₃D₆ = Dic₇.D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	168	4	D14.3D6	336,152
D₁₄.₄D₆ = C₄₂.C₂³	φ: D₆/S₃ → C₂ ⊆ Out D₁₄	168	4-	D14.4D6	336,153
D₁₄.₅D₆ = D₆.D₁₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168	4	D14.5D6	336,144
D₁₄.₆D₆ = D₁₂:₅D₇	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168	4-	D14.6D6	336,145
D₁₄.₇D₆ = D₁₄.D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168	4+	D14.7D6	336,146
D₁₄.₈D₆ = D₇xDic₆	φ: trivial image	168	4-	D14.8D6	336,137
D₁₄.₉D₆ = C₄xS₃xD₇	φ: trivial image	84	4	D14.9D6	336,147
D₁₄.₁₀D₆ = D₇xD₁₂	φ: trivial image	84	4+	D14.10D6	336,148
D₁₄.₁₁D₆ = C₂xDic₃xD₇	φ: trivial image	168		D14.11D6	336,151

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