Extensions 1→N→G→Q→1 with N=C₂xC₁₂ and Q=D₇

Direct product G=NxQ with N=C₂xC₁₂ and Q=D₇

		d	ρ	Label	ID
D₇xC₂xC₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₂xC₁₂ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂):₁D₇ = C₃xD₁₄:C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168		(C2xC12):1D7	336,68
(C₂xC₁₂):₂D₇ = C₂.D₈₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168		(C2xC12):2D7	336,100
(C₂xC₁₂):₃D₇ = C₂xD₈₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168		(C2xC12):3D7	336,196
(C₂xC₁₂):₄D₇ = D₈₄:₁₁C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168	2	(C2xC12):4D7	336,197
(C₂xC₁₂):₅D₇ = C₂xC₄xD₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168		(C2xC12):5D7	336,195
(C₂xC₁₂):₆D₇ = C₆xD₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168		(C2xC12):6D7	336,176
(C₂xC₁₂):₇D₇ = C₃xC₄oD₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168	2	(C2xC12):7D7	336,177

Non-split extensions G=N.Q with N=C₂xC₁₂ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂).₁D₇ = C₃xDic₇:C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).1D7	336,66
(C₂xC₁₂).₂D₇ = C₄₂.₄Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).2D7	336,98
(C₂xC₁₂).₃D₇ = C₈₄:C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).3D7	336,99
(C₂xC₁₂).₄D₇ = C₂xDic₄₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).4D7	336,194
(C₂xC₁₂).₅D₇ = C₈₄.C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168	2	(C2xC12).5D7	336,96
(C₂xC₁₂).₆D₇ = C₂xC₂₁:C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).6D7	336,95
(C₂xC₁₂).₇D₇ = C₄xDic₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).7D7	336,97
(C₂xC₁₂).₈D₇ = C₃xC₄.Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	168	2	(C2xC12).8D7	336,64
(C₂xC₁₂).₉D₇ = C₃xC₄:Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).9D7	336,67
(C₂xC₁₂).₁₀D₇ = C₆xDic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂xC₁₂	336		(C2xC12).10D7	336,174
(C₂xC₁₂).₁₁D₇ = C₆xC₇:C₈	central extension (φ=1)	336		(C2xC12).11D7	336,63
(C₂xC₁₂).₁₂D₇ = C₁₂xDic₇	central extension (φ=1)	336		(C2xC12).12D7	336,65

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