Extensions 1→N→G→Q→1 with N=C₂xC₆xD₇ and Q=C₂

Direct product G=NxQ with N=C₂xC₆xD₇ and Q=C₂

		d	ρ	Label	ID
D₇xC₂²xC₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₂xC₆xD₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₆xD₇):₁C₂ = C₂xC₂₁:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7):1C2	336,157
(C₂xC₆xD₇):₂C₂ = C₂xC₃:D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7):2C2	336,158
(C₂xC₆xD₇):₃C₂ = D₇xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	84	4	(C2xC6xD7):3C2	336,161
(C₂xC₆xD₇):₄C₂ = C₂²xS₃xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	84		(C2xC6xD7):4C2	336,219
(C₂xC₆xD₇):₅C₂ = C₆xD₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7):5C2	336,176
(C₂xC₆xD₇):₆C₂ = C₃xD₄xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	84	4	(C2xC6xD7):6C2	336,178
(C₂xC₆xD₇):₇C₂ = C₆xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7):7C2	336,183

Non-split extensions G=N.Q with N=C₂xC₆xD₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₆xD₇).₁C₂ = D₁₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7).1C2	336,42
(C₂xC₆xD₇).₂C₂ = C₂xDic₃xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7).2C2	336,151
(C₂xC₆xD₇).₃C₂ = C₃xD₁₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₆xD₇	168		(C2xC6xD7).3C2	336,68
(C₂xC₆xD₇).₄C₂ = D₇xC₂xC₁₂	φ: trivial image	168		(C2xC6xD7).4C2	336,175

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