Extensions 1→N→G→Q→1 with N=C₂×C₁₂ and Q=D₇

Direct product G=N×Q with N=C₂×C₁₂ and Q=D₇

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₂×C₁₂ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₂)⋊₁D₇ = C₃×D₁₄⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):1D7	336,68
(C₂×C₁₂)⋊₂D₇ = C₂.D₈₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):2D7	336,100
(C₂×C₁₂)⋊₃D₇ = C₂×D₈₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):3D7	336,196
(C₂×C₁₂)⋊₄D₇ = D₈₄⋊₁₁C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12):4D7	336,197
(C₂×C₁₂)⋊₅D₇ = C₂×C₄×D₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):5D7	336,195
(C₂×C₁₂)⋊₆D₇ = C₆×D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):6D7	336,176
(C₂×C₁₂)⋊₇D₇ = C₃×C₄○D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12):7D7	336,177

Non-split extensions G=N.Q with N=C₂×C₁₂ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₂).₁D₇ = C₃×Dic₇⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).1D7	336,66
(C₂×C₁₂).₂D₇ = C₄₂.₄Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).2D7	336,98
(C₂×C₁₂).₃D₇ = C₈₄⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).3D7	336,99
(C₂×C₁₂).₄D₇ = C₂×Dic₄₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).4D7	336,194
(C₂×C₁₂).₅D₇ = C₈₄.C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12).5D7	336,96
(C₂×C₁₂).₆D₇ = C₂×C₂₁⋊C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).6D7	336,95
(C₂×C₁₂).₇D₇ = C₄×Dic₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).7D7	336,97
(C₂×C₁₂).₈D₇ = C₃×C₄.Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12).8D7	336,64
(C₂×C₁₂).₉D₇ = C₃×C₄⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).9D7	336,67
(C₂×C₁₂).₁₀D₇ = C₆×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).10D7	336,174
(C₂×C₁₂).₁₁D₇ = C₆×C₇⋊C₈	central extension (φ=1)	336		(C2xC12).11D7	336,63
(C₂×C₁₂).₁₂D₇ = C₁₂×Dic₇	central extension (φ=1)	336		(C2xC12).12D7	336,65

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