Extensions 1→N→G→Q→1 with N=C₁₄ and Q=Dic₃

Direct product G=N×Q with N=C₁₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₁₄		168		Dic3xC14	168,32

Semidirect products G=N:Q with N=C₁₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊Dic₃ = C₂×Dic₂₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₄	168		C14:Dic3	168,37

Non-split extensions G=N.Q with N=C₁₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.Dic₃ = C₂₁⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₄	168	2	C14.Dic3	168,5
C₁₄.₂Dic₃ = C₇×C₃⋊C₈	central extension (φ=1)	168	2	C14.2Dic3	168,3

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Extensions 1→N→G→Q→1 with N=C14 and Q=Dic3