Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=Dic₇

Direct product G=NxQ with N=C₂xC₆ and Q=Dic₇

		d	ρ	Label	ID
C₂xC₆xDic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₂xC₆ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁Dic₇ = C₃xC₂³.D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₆	168		(C2xC6):1Dic7	336,73
(C₂xC₆):₂Dic₇ = C₄₂.₃₈D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₆	168		(C2xC6):2Dic7	336,105
(C₂xC₆):₃Dic₇ = C₂²xDic₂₁	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₆	336		(C2xC6):3Dic7	336,202

Non-split extensions G=N.Q with N=C₂xC₆ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁Dic₇ = C₃xC₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₆	168	2	(C2xC6).1Dic7	336,64
(C₂xC₆).₂Dic₇ = C₂xC₂₁:C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₆	336		(C2xC6).2Dic7	336,95
(C₂xC₆).₃Dic₇ = C₈₄.C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₆	168	2	(C2xC6).3Dic7	336,96
(C₂xC₆).₄Dic₇ = C₆xC₇:C₈	central extension (φ=1)	336		(C2xC6).4Dic7	336,63

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