Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₁₄

Direct product G=N×Q with N=D₁₂ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×D₁₂		168		C14xD12	336,186

Semidirect products G=N:Q with N=D₁₂ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₁₄ = C₇×D₂₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₂	168	2	D12:1C14	336,77
D₁₂⋊₂C₁₄ = C₇×D₄⋊S₃	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₂	168	4	D12:2C14	336,85
D₁₂⋊₃C₁₄ = S₃×C₇×D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₂	84	4	D12:3C14	336,188
D₁₂⋊₄C₁₄ = C₇×Q₈⋊₃S₃	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₂	168	4	D12:4C14	336,191
D₁₂⋊₅C₁₄ = C₇×C₄○D₁₂	φ: trivial image	168	2	D12:5C14	336,187

Non-split extensions G=N.Q with N=D₁₂ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₁₄ = C₇×C₂₄⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₂	168	2	D12.1C14	336,76
D₁₂.₂C₁₄ = C₇×Q₈⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out D₁₂	168	4	D12.2C14	336,87

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