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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁D₁₂ = C₂×D₈₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₄	168		C14:1D12	336,196
C₁₄⋊₂D₁₂ = C₂×C₇⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	168		C14:2D12	336,159

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁D₁₂ = C₈⋊D₂₁	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₄	168	2	C14.1D12	336,92
C₁₄.₂D₁₂ = D₁₆₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₄	168	2+	C14.2D12	336,93
C₁₄.₃D₁₂ = Dic₈₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₄	336	2-	C14.3D12	336,94
C₁₄.₄D₁₂ = C₈₄⋊C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₄	336		C14.4D12	336,99
C₁₄.₅D₁₂ = C₂.D₈₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₄	168		C14.5D12	336,100
C₁₄.₆D₁₂ = C₇⋊D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	168	4+	C14.6D12	336,31
C₁₄.₇D₁₂ = D₁₂.D₇	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	168	4-	C14.7D12	336,36
C₁₄.₈D₁₂ = Dic₆⋊D₇	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	168	4+	C14.8D12	336,37
C₁₄.₉D₁₂ = C₇⋊Dic₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	336	4-	C14.9D12	336,40
C₁₄.₁₀D₁₂ = D₆⋊Dic₇	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	168		C14.10D12	336,43
C₁₄.₁₁D₁₂ = D₄₂⋊C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	168		C14.11D12	336,44
C₁₄.₁₂D₁₂ = C₄₂.Q₈	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₄	336		C14.12D12	336,45
C₁₄.₁₃D₁₂ = C₇×C₂₄⋊C₂	central extension (φ=1)	168	2	C14.13D12	336,76
C₁₄.₁₄D₁₂ = C₇×D₂₄	central extension (φ=1)	168	2	C14.14D12	336,77
C₁₄.₁₅D₁₂ = C₇×Dic₁₂	central extension (φ=1)	336	2	C14.15D12	336,78
C₁₄.₁₆D₁₂ = C₇×C₄⋊Dic₃	central extension (φ=1)	336		C14.16D12	336,83
C₁₄.₁₇D₁₂ = C₇×D₆⋊C₄	central extension (φ=1)	168		C14.17D12	336,84

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