Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=Dic₃

Direct product G=NxQ with N=C₂xC₁₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂xC₁₄		336		Dic3xC2xC14	336,192

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄):₁Dic₃ = C₇xA₄:C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂xC₁₄	84	3	(C2xC14):1Dic3	336,117
(C₂xC₁₄):₂Dic₃ = A₄:Dic₇	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂xC₁₄	84	6-	(C2xC14):2Dic3	336,120
(C₂xC₁₄):₃Dic₃ = C₇xC₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₁₄	168		(C2xC14):3Dic3	336,89
(C₂xC₁₄):₄Dic₃ = C₄₂.₃₈D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₁₄	168		(C2xC14):4Dic3	336,105
(C₂xC₁₄):₅Dic₃ = C₂²xDic₂₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₁₄	336		(C2xC14):5Dic3	336,202

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).₁Dic₃ = C₇xC₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₁₄	168	2	(C2xC14).1Dic3	336,80
(C₂xC₁₄).₂Dic₃ = C₂xC₂₁:C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₁₄	336		(C2xC14).2Dic3	336,95
(C₂xC₁₄).₃Dic₃ = C₈₄.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₁₄	168	2	(C2xC14).3Dic3	336,96
(C₂xC₁₄).₄Dic₃ = C₁₄xC₃:C₈	central extension (φ=1)	336		(C2xC14).4Dic3	336,79

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