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

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

		d	ρ	Label	ID
C₂²×S₃×D₇		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 = S₃×D₂₈	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 = S₃×C₇⋊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 = C₂×C₂₁⋊D₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:5D6	336,157
D₁₄⋊₆D₆ = C₂×C₃⋊D₂₈	φ: D₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:6D6	336,158
D₁₄⋊₇D₆ = D₇×C₃⋊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 = D₇×Dic₆	φ: trivial image	168	4-	D14.8D6	336,137
D₁₄.₉D₆ = C₄×S₃×D₇	φ: trivial image	84	4	D14.9D6	336,147
D₁₄.₁₀D₆ = D₇×D₁₂	φ: trivial image	84	4+	D14.10D6	336,148
D₁₄.₁₁D₆ = C₂×Dic₃×D₇	φ: trivial image	168		D14.11D6	336,151

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁