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

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

		d	ρ	Label	ID
C₂²×S₃×D₇		84		C2^2xS3xD7	336,219

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₁₄ = D₇×D₁₂	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	84	4+	D6:1D14	336,148
D₆⋊₂D₁₄ = C₂₈⋊D₆	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	84	4	D6:2D14	336,150
D₆⋊₃D₁₄ = D₇×C₃⋊D₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	84	4	D6:3D14	336,161
D₆⋊₄D₁₄ = D₆⋊D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	84	4+	D6:4D14	336,163
D₆⋊₅D₁₄ = C₂×C₂₁⋊D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₆	168		D6:5D14	336,157
D₆⋊₆D₁₄ = C₂×C₇⋊D₁₂	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₆	168		D6:6D14	336,159
D₆⋊₇D₁₄ = S₃×C₇⋊D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₆	84	4	D6:7D14	336,162

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₁₄ = D₁₂⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	168	4	D6.1D14	336,141
D₆.₂D₁₄ = D₁₂⋊₅D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	168	4-	D6.2D14	336,145
D₆.₃D₁₄ = C₄₂.C₂³	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	168	4-	D6.3D14	336,153
D₆.₄D₁₄ = Dic₃.D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₆	168	4	D6.4D14	336,155
D₆.₅D₁₄ = D₂₈⋊₅S₃	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4-	D6.5D14	336,138
D₆.₆D₁₄ = D₈₄⋊C₂	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4+	D6.6D14	336,142
D₆.₇D₁₄ = D₆.D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4	D6.7D14	336,144
D₆.₈D₁₄ = S₃×Dic₁₄	φ: trivial image	168	4-	D6.8D14	336,140
D₆.₉D₁₄ = C₄×S₃×D₇	φ: trivial image	84	4	D6.9D14	336,147
D₆.₁₀D₁₄ = S₃×D₂₈	φ: trivial image	84	4+	D6.10D14	336,149
D₆.₁₁D₁₄ = C₂×S₃×Dic₇	φ: trivial image	168		D6.11D14	336,154

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