Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₁₂

Direct product G=N×Q with N=D₁₄ and Q=C₁₂

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=D₁₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊C₁₂ = D₁₄⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Out D₁₄	56		D14:C12	336,17
D₁₄⋊₂C₁₂ = C₂×C₄×F₇	φ: C₁₂/C₄ → C₃ ⊆ Out D₁₄	56		D14:2C12	336,122
D₁₄⋊₃C₁₂ = C₃×D₁₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₄	168		D14:3C12	336,68

Non-split extensions G=N.Q with N=D₁₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.C₁₂ = C₈⋊F₇	φ: C₁₂/C₂ → C₆ ⊆ Out D₁₄	56	6	D14.C12	336,8
D₁₄.₂C₁₂ = C₈×F₇	φ: C₁₂/C₄ → C₃ ⊆ Out D₁₄	56	6	D14.2C12	336,7
D₁₄.₃C₁₂ = C₃×C₈⋊D₇	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₄	168	2	D14.3C12	336,59
D₁₄.₄C₁₂ = D₇×C₂₄	φ: trivial image	168	2	D14.4C12	336,58

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